GLASS LAMINATE ARTICLES
20220396522 · 2022-12-15
Inventors
Cpc classification
B32B2307/54
PERFORMING OPERATIONS; TRANSPORTING
B32B17/06
PERFORMING OPERATIONS; TRANSPORTING
C03C21/002
CHEMISTRY; METALLURGY
International classification
C03C21/00
CHEMISTRY; METALLURGY
B32B17/06
PERFORMING OPERATIONS; TRANSPORTING
B32B37/06
PERFORMING OPERATIONS; TRANSPORTING
Abstract
A method of manufacturing a strengthened glass article includes forming a glass-to-glass laminate by fusing clad and core glasses, where the clad has greater high-temperature coefficient of thermal expansion (HTCTE) than the core but a lesser low-temperature coefficient of thermal expansion (LTCTE). The method includes cooling the laminate to impart stresses through contraction mismatch between the clad and core, where stresses in the laminate from HTCTE differences at least partially offset stresses in the laminate from LTCTE. After the cooling, the method includes modifying geometry of the laminate, then relaxing at least some of the stresses in the glass-to-glass laminate from differences in the HTCTE.
Claims
1. A method of manufacturing a strengthened glass article, comprising: increasing by at least 20 MPa compressive stress of a clad glass in a laminate comprising a core glass fused to the clad glass by heating up the laminate from below 100° C. to above 100° C. but below 600° C. and having the laminate above 100° C. but below 600° C. for longer than an hour, wherein curves of coefficient of thermal expansion (y-axis) as a function of temperature (x-axis) of the core and clad glasses intersect one another above 100° C. but below 600° C.
2. The method of claim 1, wherein at least some of the heating occurs with the laminate outside of a salt bath.
3. The method of claim 2, wherein the at least some of the heating occurs in a gaseous environment comprising greater than 70% nitrogen and greater than 15% oxygen by volume.
4. The method of claim 1, wherein the increasing is by at least 50 MPa.
5. The method of claim 4, wherein the increasing is by at least 100 MPa.
6. The method of claim 5, further comprising additionally increasing compressive stress of the clad glass by ion-exchange chemical tempering.
7. The method of claim 1, wherein the hour is continuous as opposed to broken up into segments that add to longer than an hour in aggregate.
8. A method of manufacturing a strengthened glass article, comprising: relaxing stresses, in a laminate comprising a core glass fused to a clad glass, corresponding to differences in high-temperature coefficients of thermal expansion of the clad and core glasses while preserving stresses corresponding to differences in low-temperature coefficients of thermal expansion of the clad and core glasses to apply a compressive stress on the clad glass, wherein the compressive stress applied by the relaxing is at least 20 MPa.
9. The method of claim 8, wherein the relaxing comprises heating up the laminate.
10. A method of manufacturing a strengthened glass article, comprising: forming a glass-to-glass laminate by fusing clad and core glasses to one another, wherein the clad glass has a greater high-temperature coefficient of thermal expansion (HTCTE) than the core glass, but a lesser low-temperature coefficient of thermal expansion (LTCTE) than the core glass; cooling the glass-to-glass laminate to impart stresses through contraction mismatch between the clad and core glasses, wherein stresses in the glass-to-glass laminate from differences in the HTCTE of the clad and core glasses at least partially offset stresses in the glass-to-glass laminate from differences in the LTCTE of the clad and core glasses; after the cooling, modifying geometry of the laminate; after the modifying, relaxing at least some of the stresses in the glass-to-glass laminate from differences in the HTCTE of the clad and core glasses such that the stresses in the glass-to-glass laminate from differences in the LTCTE of the clad and core glasses change stresses in the clad glass by at least 20 MPa.
11. The method of claim 10, wherein the modifying increases compressive stresses in the clad glass by at least 20 MPa.
12. The method of claim 11, further comprising exchanging ions of the clad glass with larger ions to further increase compressive stress of the clad glass beyond the relaxing.
13. The method of claim 12, wherein at least a portion of the relaxing occurs after the exchanging ions.
14. The method of claim 12, wherein at least a portion of the relaxing occurs in a gaseous environment.
15. The method of claim 10, wherein the modifying comprises cutting the laminate.
16. The method of claim 15, wherein the modifying further comprises polishing edges of the laminate.
17. The method of claim 10, wherein the relaxing comprises having the laminate above 300° C. and below 600° C. for at least an hour.
18. The method of claim 17, wherein the relaxing further comprises heating up the laminate from below 100° C. to above 300° C.
19. The method of claim 17, wherein aggregate time having the laminate above 300° C. and below 600° C. is greater than 21 hours.
20. A method of manufacturing a strengthened glass article, comprising: increasing by at least 20% compressive stress of a clad glass in a laminate comprising a core glass fused to the clad glass by heating up the laminate from below 100° C. to above 100° C. but below 600° C. and having the laminate above 100° C. but below 600° C. for longer than an hour, wherein the at least 20% increase is relative to a prior compressive stress in the clad present before the heating up, wherein curves of coefficient of thermal expansion (y-axis) as a function of temperature (x-axis) of the core and clad glasses intersect one another above 100° C. but below 600° C.
21. The method of claim 20, wherein the increasing is by at least 50%.
22. The method of claim 21, wherein the increasing is by at least 100%.
23. The method of claim 22, further comprising additionally increasing compressive stress of the clad glass by ion-exchange chemical tempering.
24. The method of claim 23, wherein curves of coefficient of thermal expansion (y-axis) as a function of temperature (x-axis) of the core and clad glasses intersect one another above 200° C. but below a 10.sup.11 poise temperature of both the core and clad glasses if the 10.sup.11 poise temperature of at least one of the core and clad glasses is less than 600° C.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION
[0033] Reference will now be made in detail to various embodiments of glass compositions for forming strengthened glass laminate articles. According to embodiments, a glass composition includes greater than or equal to 60 mol % and less than or equal to 76 mol % SiO.sub.2; greater than or equal to 7 mol % and less than or equal to 16 mol % Al.sub.2O.sub.3; greater than 0 mol % and less than or equal to 12 mol % B.sub.2O.sub.3; and greater than or equal to 0 mol and less than or equal to 14 mol % Na.sub.2O. (R.sub.2O+RO)/Al.sub.2O.sub.3 in the glass composition may be greater than or equal to 1. According to embodiments, a glass composition includes greater than or equal to 60 mol % and less than or equal to 73 mol % SiO.sub.2; greater than 0 mol % and less than or equal to 16.5 mol % Al.sub.2O.sub.3; greater or equal to 0 mol % and less than or equal to 24 mol % B.sub.2O.sub.3; greater than or equal to 1 mol % and less than or equal to 12 mol % CaO; and greater than or equal to 3 mol % and less than or equal to 15 mol % Na.sub.2O. According to embodiments, a glass laminate article includes a core glass layer having a low temperature coefficient of thermal expansion (LTCTE.sub.core) and a high temperature coefficient of thermal expansion (HTCTE.sub.core); a clad glass layer laminated to a surface of the core glass layer, the clad glass layer having a low temperature coefficient of thermal expansion (LTCTE.sub.clad) and a high temperature coefficient of thermal expansion (HTCTE.sub.clad); and a thickness t. The glass laminate article satisfies the relationship:
∫.sub.25° C..sup.T.sup.
[0034] where T.sub.11.sup.lower is the lower 10.sup.11 poise temperature of the core glass layer and the clad glass layer. At temperatures lower than T.sub.11.sup.lower, CTE.sub.clad is less than CTE.sub.core. Various embodiments of glass compositions and strengthened glass laminate articles formed therefrom will be described herein with specific reference to the appended drawings.
[0035] Ranges may be expressed herein as from “about” one particular value, and/or to “about” another particular value. When such a range is expressed, another embodiment includes from the one particular value and/or to the other particular value. Similarly, when values are expressed as approximations, by use of the antecedent“about,” it will be understood that the particular value forms another embodiment. It will be further understood that the endpoints of each of the ranges are significant both in relation to the other endpoint, and independently of the other endpoint.
[0036] Directional terms as used herein-for example up, down, right, left, front, back, top, bottom-are made only with reference to the figures as drawn and are not intended to imply absolute orientation.
[0037] Unless otherwise expressly stated, it is in no way intended that any method set forth herein be construed as requiring that its steps be performed in a specific order, nor that with any apparatus specific orientations be required. Accordingly, where a method claim does not actually recite an order to be followed by its steps, or that any apparatus claim doe s not actually recite an order or orientation to individual components, or it is not otherwise specifically stated in the claims or description that the steps are to be limited to a specific order, or that a specific order or orientation to components of an apparatus is not recited, it is in no way intended that an order or orientation be inferred, in any respect. This holds for any possible non-express basis for interpretation, including: matters of logic with respect to arrangement of steps, operational flow, order of components, or orientation of components; plain meaning derived from grammatical organization or punctuation, and; the number or type of embodiments described in the specification.
[0038] As used herein, the singular forms “a,” “an” and “the” include plural referents unless the context clearly dictates otherwise. Thus, for example, reference to “a” component includes aspects having two or more such components, unless the context clearly indicates otherwise.
[0039] In the embodiments of the glass compositions described herein, the concentrations of constituent components (e.g., SiO.sub.2, Al.sub.2O.sub.3, and the like) are specified in mole percent (mol %) on an oxide basis, unless otherwise specified.
[0040] The term “substantially free,” when used to describe the concentration and/or absence of a particular element or compound in a glass composition, means that the element or compound is not intentionally added to the glass composition. However, the glass composition may contain traces of the element or compound as a contaminant or tramp in amounts of less than 0.1 mol %.
[0041] The terms “0 mol %” and “free,” when used to describe the concentration and/or absence of a particular constituent component in a glass composition, means that the constituent component is not present in glass composition.
[0042] The term “Vogel-Fulcher-Tamman (‘VFT’) relation,” as used herein, describes the temperature dependence of the viscosity and is represented by the following equation:
where η is viscosity. To determine VFT A, VFT B, and VFT T.sub.o, the viscosity of the glass composition is measured over a given temperature range. The raw data of viscosity versus temperature is then fit with the VFT equation by least-squares fitting to obtain A, B, and T.sub.o. With these values, a viscosity point (e.g., 200 P Temperature, 35k P Temperature, 100k P Temperature, and 200k P Temperature) at any temperature above softening point may be calculated.
[0043] The term “melting point,” as used herein, refers to the temperature at which the viscosity of the glass composition is 200 poise as measured in accordance with ASTM C338.
[0044] The term “softening point,” as used herein, refers to the temperature at which the viscosity of the glass composition is 1×10.sup.7.6 poise. The softening point is measured according to the parallel plate viscosity method which measures the viscosity of inorganic glass from 10.sup.7 to 10.sup.9 poise as a function of temperature, similar to ASTM C1351M.
[0045] The term “annealing point” or “effective annealing temperature,” as used herein, refers to the temperature at which the viscosity of the glass composition is 1 ×10.sup.13.18 poise as measured in accordance with ASTM C598.
[0046] The term “strain point,” as used herein, refers to the temperature at which the viscosity of the glass composition is 1×10.sup.14.68 poise as measured in accordance with ASTM C598.
[0047] Density, as described herein, is measured by the buoyancy method of ASTM C693-93.
[0048] The terms “coefficient of thermal expansion” or “CTE,” as used herein, refer to an average CTE over a particular range of temperatures. The “low temperature CTE” or “LTCTE” of the glass composition is averaged over a temperature range from about 20° C. to about 300° C. The terms “high temperature CTE” or “HTCTE,” as used herein, refer to the CTE of the glass composition at the minimum temperature at which the glass has a viscosity of 10.sup.11 Poise (the T.sub.11 temperature). Because the T.sub.11 temperature varies depending on the particular composition, when a difference in high temperature coefficient of thermal expansion (ΔHTCTE) is referenced, it refers to a difference in the CTE of the glass compositions at the lower T.sub.11 of the pair of glass compositions. CTE is measured by digital image correlation, which determines thermal expansion and instantaneous coefficient of thermal expansion of a glass composition on cooling through the glass transition zone with a cooling rate of 2° C./s.
[0049] The term “liquidus viscosity,” as used herein, refers to the viscosity of the glass composition at the onset of devitrification (i.e., at the liquidus temperature as determined with the gradient furnace method according to ASTM C829-81).
[0050] The term “liquidus temperature,” as used herein, refers to the temperature at which the glass composition begins to devitrify as determined with the gradient furnace method according to ASTM C829-81.
[0051] The elastic modulus (also referred to as Young's modulus) of the glass composition, as described herein, is provided in units of gigapascals (GPa) and is measured in accordance with ASTM C623.
[0052] The shear modulus of the glass composition, as described herein, is provided in units of gigapascals (GPa). The shear modulus of the glass composition is measured in accordance with ASTM C623.
[0053] Poisson's ratio, as described herein, is measured in accordance with ASTM C623.
[0054] Refractive index, as described herein, is measured in accordance with ASTME1967.
[0055] As used herein, “peak compressive stress” refers to the highest compressive stress (CS) value measured within a compressive stress region. In embodiments, the peak compressive stress is located at the surface of the glass article. In other embodiments, the peak compressive stress may occur at a depth below the surface, giving the compressive stress profile the appearance of a “buried peak.” Unless specified otherwise, compressive stress (including surface CS) is measured by surface stress meter (FSM) using commercially available instruments, for example, the FSM-6000, manufactured by Orihara Industrial Co., Ltd. (Japan). Surface stress measurements rely upon the accurate measurement of the stress optical coefficient (SOC) which is related to the birefringence of the glass article. SOC in turn is measured according to Procedure C (Glass Disk Method) described in ASTM C770-16, entitled “Standard Test Method for measurement of Glass Stress-Optical Coefficient.” The maximum central tension (CT) values are measured using a Scattered Light Polariscope (SCALP), such as a SCALP-05 portable scattered light polariscope. The values reports for central tension (CT) herein refer to the maximum central tension, unless otherwise indicated.
[0056] According to the convention normally used in the art, compression or compressive stress (CS) is expressed as a negative (i.e., <0) stress and tension or tensile stress is expressed as a positive (i.e., >0) stress. Throughout this description, however, CS is expressed as a positive or absolute value (i.e., as recited herein, CS=|CS|).
[0057] As used herein, “depth of compression” (DOC) refers to the depth at which the stress within the glass article changes from compressive to tensile. At the DOC, the stress crosses from a compressive stress to a tensile stress and thus exhibits a stress value of zero. Depth of compression is measured using a surface stress meter, for example, a FSM-6000 surface stress meter, in conjunction with SCALP. FSM measures the depth of compression for potassium ion-exchange and SCALP measures the depth of compression for sodium ion-exchange. As used herein, “depth of layer” (DOL) refers to the depth within a glass article at which an ion of metal oxide diffuses into the glass article where the concentration of the ion reaches a minimum value. DOL may be measured using electron probe microanalysis (EPMA).
[0058] Lamination processes, such as fusion-draw or thermal bonding, may be used to produce strengthened glass articles, such as glass laminate articles. The glass laminate articles may include a core glass layer formed from a core glass composition positioned between a pair of clad glass layers formed from a clad glass composition. Conventionally, the core glass composition and clad glass composition combination is selected to produce a sufficient LTCTE difference between the core glass layer and clad glass layer (i.e., ΔLTCTE=|LTCTE.sub.clad −LTCTE.sub.core|) such that the desired compressive stress is achieved.
[0059] In particular, the compressive stress in the clad glass layer due to the LTCTE differential between the core glass layer and clad glass layer may be approximated by the following equation:
where α.sub.clad and α.sub.core are the LTCTE.sub.clad and the LTCTE.sub.core, ΔT is the temperature minus 25° C. of the lower strain point of the clad glass layer or the core glass layer (i.e., ΔT=strain point.sup.lower −25° C.), and E.sup.eff is the elastic modulus. E.sup.eff is related with Poisson's ratio v by the following equation, where E is the measured Young's modulus:
and k is a thickness ratio of the core glass layer to clad glass layer:
where t.sub.core is the thickness of the core glass layer and t.sub.clad is the thickness of the clad glass layer. However, laminated silicate glass compositions may not develop sufficient compressive stress to withstand certain applications, e.g., mitigating impact stresses in day to day use, due to the limited amount of expansion differential between clad glass compositions and core glass compositions.
[0060] Disclosed herein are glass compositions and glass laminate articles formed therefrom which mitigate the aforementioned problems. Specifically, the glass compositions disclosed herein may be selected to form a glass laminate article having the desired compressive stress by ensuring there is a sufficient differential across the entire CTE curve from room temperature to above the glass transition temperature. Evaluating the entire CTE curve takes into consideration both the LTCTE differential and the HTCTE differential between the core glass layer and the clad glass layers.
[0061] Clad Glass Compositions
[0062] The clad glass compositions described herein may be described as aluminoborosilicate glass compositions and comprise SiO.sub.2, Al.sub.2O.sub.3, and B.sub.2O.sub.3. The clad glass compositions described herein may also include alkali oxides, such as Na.sub.2O, to enable the ion-exchangeability of the clad glass compositions.
[0063] SiO.sub.2 is the primary glass former in the clad glass compositions described herein and may function to stabilize the network structure of the clad glass compositions. The concentration of SiO.sub.2 in the clad glass compositions should be sufficiently high (e.g., greater than or equal to 60 mol %) to provide basic glass forming capability. The amount of SiO.sub.2 may be limited (e.g., to less than or equal to 76 mol %) to control the melting point of the clad glass composition, as the melting temperature of pure SiO.sub.2 glasses or glasses with relatively high SiO.sub.2 concentrations is undesirably high. Thus, limiting the concentration of SiO.sub.2 may aid in improving the meltability and the formability of the clad glass composition.
[0064] Accordingly, in embodiments, the clad glass composition may comprise greater than or equal to 60 mol % and less than or equal to 76 mol % SiO.sub.2. In embodiments, the clad glass composition may comprise greater than or equal to 60 mol % and less than or equal to 74 mol % SiO.sub.2. In embodiments, the clad glass composition may comprise greater than or equal to 65 mol % and less than or equal to 74 mol % SiO.sub.2. In embodiments, the clad glass composition may comprise greater than or equal to 60 mol % and less than or equal to 70 mol % SiO.sub.2. In embodiments, the concentration of SiO.sub.2 in the clad glass composition may be greater than or equal to 60 mol %, greater than or equal to 63 mol %, or even greater than or equal to 65 mol %. In embodiments, the concentration of SiO.sub.2 in the clad glass composition may be less than or equal to 76 mol %, less than or equal to 74 mol %, less than or equal to 72 mol %, or even less than or equal to 70 mol %. In embodiments, the concentration of SiO.sub.2 in the clad glass composition may be greater than or equal to 60 mol % and less than or equal to 76 mol %, greater than or equal to 60 mol % and less than or equal to 74 mol %, greater than or equal to 60 mol % and less than or equal to 72 mol %, greater than or equal to 60 mol % and less than or equal to 70 mol %, greater than or equal to 63 mol % and less than or equal to 76 mol %, greater than or equal to 63 mol % and less than or equal to 74 mol %, greater than or equal to 63 mol % and less than or equal to 72 mol %, greater than or equal to 63 mol % and less than or equal to 70 mol %, greater than or equal to 65 mol % and less than or equal to 76 mol %, greater than or equal to 65 mol % and less than or equal to 74 mol %, greater than or equal to 65 mol % and less than or equal to 72 mol %, or even greater than or equal to 65 mol % and less than or equal to 70 mol %, or any and all sub-ranges formed from any of these endpoints.
[0065] Like SiO.sub.2, Al.sub.2O.sub.3 may also stabilize the glass network and additionally provides improved mechanical properties and chemical durability to the clad glass composition. The amount of Al.sub.2O.sub.3 may also be tailored to the control the viscosity of the clad glass composition. The concentration of Al.sub.2O.sub.3 should be sufficiently high (e.g., greater than or equal to 7 mol %) such that the clad glass composition has the desired mechanical properties (e.g., Young's modulus greater than or equal to 55 GPa). However, if the concentration of Al.sub.2O.sub.3 is too high (e.g., greater than 16 mol %), the viscosity of the melt may increase, thereby diminishing the formability of the clad glass composition. In embodiments, the clad glass composition may comprise greater than or equal to 7 mol % and less than or equal to 16 mol % Al.sub.2O.sub.3. In embodiments, the clad glass composition may comprise greater than or equal to 8 mol % and less than or equal to 15 mol % Al.sub.2O.sub.3. In embodiments, the clad glass composition may comprise greater than or equal to 8 mol % and less than or equal to 11 mol % Al.sub.2O.sub.3. In embodiments, the clad glass composition may comprise greater than or equal to 10 mol % and less than or equal to 15 mol % Al.sub.2O.sub.3. In embodiments, the concentration of Al.sub.2O.sub.3 in the clad glass composition may be greater than or equal to 7 mol %, greater than or equal to 8 mol %, greater than or equal to 9 mol %, or even greater than or equal to 10 mol %. In embodiments, the concentration of Al.sub.2O.sub.3 in the clad glass composition may be less than or equal to 16 mol %, less than or equal to 15 mol %, less than or equal to 14 mol % less than or equal to 13 mol %, less than or equal to 12 mol %, or even less than or equal to 11 mol %. In embodiments, the concentration of Al.sub.2O.sub.3 in the clad glass composition may be greater than or equal to 7 mol % and less than or equal to 16 mol %, greater than or equal to 7 mol % and less than or equal to 15 mol %, greater than or equal to 7 mol % and less than or equal to 14 mol %, greater than or equal to 7 mol % and less than or equal to 13 mol %, greater than or equal to 7 mol % and less than or equal to 12 mol %, greater than or equal to 7 mol % and less than or equal to 11 mol %, greater than or equal to 8 mol % and less than or equal to 16 mol %, greater than or equal to 8 mol % and less than or equal to 15 mol %, greater than or equal to 8 mol % and less than or equal to 14 mol %, greater than or equal to 8 mol % and less than or equal to 13 mol %, greater than or equal to 8 mol % and less than or equal to 12 mol %, greater than or equal to 8 mol % and less than or equal to 11 mol %, greater than or equal to 9 mol % and less than or equal to 16 mol %, greater than or equal to 9 mol % and less than or equal to 15 mol %, greater than or equal to 9 mol % and less than or equal to 14 mol %, greater than or equal to 9 mol % and less than or equal to 13 mol %, greater than or equal to 9 mol % and less than or equal to 12 mol %, greater than or equal to 9 mol % and less than or equal to 11 mol %, greater than or equal to 10 mol % and less than or equal to 16 mol %, greater than or equal to 10 mol % and less than or equal to 15 mol %, greater than or equal to 10 mol % and less than or equal to 14 mol %, greater than or equal to 10 mol % and less than or equal to 13 mol %, greater than or equal to 10 mol % and less than or equal to 12 mol %, or even greater than or equal to 10 mol % and less than or equal to 11 mol %, or any and all sub-ranges formed from any of these endpoints.
[0066] B.sub.2O.sub.3 decreases the melting temperature of the clad glass composition. In addition, B.sub.2O.sub.3 may also improve the damage resistance of the clad glass composition. When boron in the clad glass composition is not charge balanced by alkali oxides or divalent cation oxides (such as MgO, CaO, SrO, BaO, and ZnO), the boron will be in a trigonal-coordination state (or three-coordinated boron), which opens up the structure of the glass. The network around these three-coordinated boron atoms is not as rigid as tetrahedrally coordinated (or four-coordinated) boron. Without being bound by theory, it is believed that clad glass compositions that include three-coordinated boron can tolerate some degree of deformation before crack formation compared to four-coordinated boron. By tolerating some deformation, the Vickers indentation crack initiation threshold values increase. Fracture toughness of the clad glass compositions that include three-coordinated boron may also increase. The concentration of B.sub.2O.sub.3 should be sufficiently high (e.g., greater than 0 mol %) to improve the formability and increase the fracture toughness of the clad glass composition. However, if B.sub.2O.sub.3 is too high, the chemical durability and liquidus viscosity may diminish and volatilization and evaporation of B.sub.2O.sub.3 during melting becomes difficult to control. Therefore, the amount of B.sub.2O.sub.3 may be limited (e.g., less than or equal to 12 mol %) to maintain chemical durability and manufacturability of the clad glass composition.
[0067] In embodiments, the clad glass composition may comprise greater than 0 mol % and less than or equal to 12 mol % B.sub.2O.sub.3. In embodiments, the clad glass composition may comprise greater than or equal to 1 mol % and less than or equal to 10 mol % B.sub.2O.sub.3. In embodiments, the clad glass composition may comprise greater than or equal to 7 mol % and less than or equal to 10 mol % B.sub.2O.sub.3. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 7 mol % B.sub.2O.sub.3. In embodiments, the concentration of B.sub.2O.sub.3 in the clad glass composition may be greater than 0 mol %, greater than or equal to 1 mol %, greater than or equal to 3 mol %, greater than or equal to 5 mol %, or even greater than or equal to 7 mol %. In embodiments, the concentration of B.sub.2O.sub.3 in the clad glass composition may be less than or equal to 12 mol %, less than or equal to 10 mol %, less than or equal to 8 mol %, or even less than or equal to 7 mol %. In embodiments, the concentration of B.sub.2O.sub.3 in the clad glass composition may be greater than 0 mol % and less than or equal to 12 mol %, greater than 0 mol % and less than or equal to 10 mol %, greater than 0 mol % and less than or equal to 8 mol %, greater than 0 mol % and less than or equal to 7 mol %, greater than or equal to 1 mol % and less than or equal to 12 mol %, greater than or equal to 1 mol % and less than or equal to 10 mol %, greater than or equal to 1 mol % and less than or equal to 8 mol %, greater than or equal to 1 mol % and less than or equal to 7 mol %, greater than or equal to 3 mol % and less than or equal to 12 mol %, greater than or equal to 3 mol % and less than or equal to 10 mol %, greater than or equal to 3 mol % and less than or equal to 8 mol %, greater than or equal to 3 mol % and less than or equal to 7 mol %, greater than or equal to 5 mol % and less than or equal to 12 mol %, greater than or equal to 5 mol % and less than or equal to 10 mol %, greater than or equal to 5 mol % and less than or equal to 8 mol %, greater than or equal to 5 mol % and less than or equal to 7 mol %, greater than or equal to 7 mol % and less than or equal to 12 mol %, greater than or equal to 7 mol % and less than or equal to 10 mol %, or even greater than or equal to 7 mol % and less than or equal to 8 mol %, or any and all sub-ranges formed from any of these endpoints.
[0068] As described hereinabove, the clad glass compositions may contain alkali oxides, such as Na.sub.2O, to enable the ion-exchangeability of the clad glass compositions. Na.sub.2O aids in the ion-exchangeability of the clad glass composition and also reduces the softening point of the clad glass composition, thereby increasing the formability of the glass. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 14 mol % Na.sub.2O. In embodiments, the clad glass composition may comprise greater than or equal to 5 mol % and less than or equal to 12 mol % Na.sub.2O. In embodiments, the clad glass composition may comprise greater than or equal to 7.5 mol % and less than or equal to 11 mol % Na.sub.2O. In embodiments, the concentration of Na.sub.2O in the clad glass composition may be greater than or equal to 0 mol %, greater than or equal to 5 mol %, greater than or equal to 7 mol %, greater than or equal to 7.5 mol %, greater than or equal to 8 mol %, or even greater than or equal to 8.5 mol %. In embodiments, the concentration of Na.sub.2O in the clad glass composition may be less than or equal to 14 mol %, less than or equal to 13 mol %, less than or equal to 12 mol %, or even less than or equal to 11 mol %. In embodiments, the concentration of Na.sub.2O in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 14 mol %, greater than or equal to 0 mol % and less than or equal to 13 mol %, greater than or equal to 0 mol % and less than or equal to 12 mol %, greater than or equal to 0 mol % and less than or equal to 11 mol %, greater than or equal to 5 mol % and less than or equal to 14 mol %, greater than or equal to 5 mol % and less than or equal to 13 mol %, greater than or equal to 5 mol % and less than or equal to 12 mol %, greater than or equal to 5 mol % and less than or equal to 11 mol %, greater than or equal to 7 mol % and less than or equal to 14 mol %, greater than or equal to 7 mol % and less than or equal to 13 mol %, greater than or equal to 7 mol % and less than or equal to 12 mol %, greater than or equal to 7 mol % and less than or equal to 11 mol %, greater than or equal to 7.5 mol % and less than or equal to 14 mol %, greater than or equal to 7.5 mol % and less than or equal to 13 mol %, greater than or equal to 7.5 mol % and less than or equal to 12 mol %, greater than or equal to 7.5 mol % and less than or equal to 11 mol %, greater than or equal to 8 mol % and less than or equal to 14 mol %, greater than or equal to 8 mol % and less than or equal to 13 mol %, greater than or equal to 8 mol % and less than or equal to 12 mol %, greater than or equal to 8 mol % and less than or equal to 11 mol %, greater than or equal to 8.5 mol % and less than or equal to 14 mol %, greater than or equal to 8.5 mol % and less than or equal to 13 mol %, greater than or equal to 8.5 mol % and less than or equal to 12 mol %, or even greater than or equal to 8.5 mol % and less than or equal to 11 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of Na.sub.2O.
[0069] The clad glass compositions described herein may further comprise alkali metal oxides other than Na.sub.2O, such as K.sub.2O and Li.sub.2O. K.sub.2O, when included, promotes ion-exchange and may increase the depth of layer and decrease the melting point to improve the formability of the clad glass composition. However, adding too much K.sub.2O may cause the surface compressive stress and melting point to be too low. Accordingly, in embodiments, the amount of K.sub.2O added to the glass composition may be limited. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 3 mol % K.sub.2O. In embodiments, the concentration of K.sub.2O in the clad glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.1 mol %, greater than or equal to 0.5 mol %, or even greater than or equal to 1 mol %. In embodiments, the concentration of K.sub.2O in the clad glass composition may be less than or equal to 3 mol % or even less than or equal to 2 mol %. In embodiments, the concentration of K.sub.2O in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0 mol % and less than or equal to 2 mol %, greater than or equal to 0.1 mol % and less than or equal to 3 mol %, greater than or equal to 0.1 mol % and less than or equal to 2 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 2 mol %, greater than or equal to 1 mol % and less than or equal to 3 mol %, or even greater than or equal to 1 mol % and less than or equal to 2 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of K.sub.2O.
[0070] In addition to aiding in ion-exchangeability of the clad glass composition, Li.sub.2O decreases the melting point and improves formability of the clad glass composition. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 5 mol % Li.sub.2O. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 3 mol % Li.sub.2O. In embodiments, the concentration of Li.sub.2O in the clad glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1 mol %, or even greater than or equal to 2 mol %. In embodiments, the concentration of Li.sub.2O in the clad glass composition may be less than or equal to 5 mol %, less than or equal to 4 mol %, or even less than or equal to 3 mol %. In embodiments, the concentration of Li.sub.2O in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 5 mol %, greater than or equal to 0 mol % and less than or equal to 4 mol %, greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 4 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, greater than or equal to 1 mol % and less than or equal to 4 mol %, greater than or equal to 1 mol % and less than or equal to 3 mol %, greater than or equal to 2 mol % and less than or equal to 5 mol %, greater than or equal to 2 mol % and less than or equal to 4 mol %, or even greater than or equal to 2 mol % and less than or equal to 3 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of Li.sub.2O.
[0071] As used herein, R.sub.2O is the sum (in mol %) of Na.sub.2O, K.sub.2O, and Li.sub.2O (i.e., R.sub.2O=Na.sub.2O (mol %)+K.sub.2O (mol %)+Li.sub.2O (mol %)) present in the clad glass compositions. Alkali oxides, such as Na.sub.2O, K.sub.2O, and Li.sub.2O, aid in decreasing the softening point and molding temperature of the clad glass composition, thereby offsetting the increase in the softening point and molding temperature of the clad glass composition due to higher amounts of SiO.sub.2 in the clad glass composition, for example.
[0072] In embodiments, the concentration of R.sub.2O in the clad glass composition may be greater than or equal to 7 mol % and less than or equal to 16 mol %. In embodiments, the concentration of R.sub.2O in the clad glass composition may be greater than or equal to 7 mol %, greater than or equal to 7.5 mol %, greater than or equal to 8 mol %, or even greater than or equal to 8.5 mol %. In embodiments, the concentration of R.sub.2O in the clad glass composition may be less than or equal to 16 mol %, less than or equal to 14 mol %, or even less than or equal to 12 mol %. In embodiments, the concentration of R.sub.2O in the clad glass composition may be greater than or equal to 7 mol % and less than or equal to 16 mol %, greater than or equal to 7 mol % and less than or equal to 14 mol %, greater than or equal to 7 mol % and less than or equal to 12 mol %, greater than or equal to 7.5 mol % and less than or equal to 16 mol %, greater than or equal to 7.5 mol % and less than or equal to 14 mol %, greater than or equal to 7.5 mol % and less than or equal to 12 mol %, greater than or equal to 8 mol % and less than or equal to 16 mol %, greater than or equal to 8 mol % and less than or equal to 14 mol %, greater than or equal to 8 mol % and less than or equal to 12 mol %, greater than or equal to 8.5 mol % and less than or equal to 16 mol %, greater than or equal to 8.5 mol % and less than or equal to 14 mol %, or even greater than or equal to 8.5 mol % and less than or equal to 12 mol %, or any and all sub-ranges formed from any of these endpoints.
[0073] In embodiments, the clad glass composition may comprise MgO. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 7 mol % MgO. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 5 mol % MgO. In embodiments, the concentration of MgO in the clad glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1 mol %, or even greater than or equal to 2 mol %. In embodiments, the concentration of MgO in the clad glass composition may be less than or equal to 7 mol %, less than or equal to 5 mol %, or even less than or equal to 3 mol %. In embodiments, the concentration of MgO in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 7 mol %, greater than or equal to 0 mol % and less than or equal to 5 mol %, greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 7 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 1 mol % and less than or equal to 7 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, greater than or equal to 1 mol % and less than or equal to 3 mol %, greater than or equal to 2 mol % and less than or equal to 7 mol %, greater than or equal to 2 mol % and less than or equal to 5 mol %, or even greater than or equal to 2 mol % and less than or equal to 3 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of MgO.
[0074] In embodiments, the clad glass composition may comprise CaO. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 10 mol % CaO. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 5 mol % CaO. In embodiments, the concentration of CaO in the clad glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, or even greater than or equal to 1 mol %. In embodiments, the concentration of CaO in the clad glass composition may be less than or equal to 10 mol %, less than or equal to 7 mol %, less than or equal to 5 mol %, less than or equal to 4 mol %, or even less than or equal to 3 mol %. In embodiments, the concentration of CaO in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 10 mol %, greater than or equal to 0 mol % and less than or equal to 7 mol %, greater than or equal to 0 mol % and less than or equal to 5 mol %, greater than or equal to 0 mol % and less than or equal to 4 mol %, greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 10 mol %, greater than or equal to 0.5 mol % and less than or equal to 7 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 4 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 1 mol % and less than or equal to 10 mol %, greater than or equal to 1 mol % and less than or equal to 7 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, greater than or equal to 1 mol % and less than or equal to 4 mol %, or even greater than or equal to 1 mol % and less than or equal to 3 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of CaO.
[0075] In embodiments, the clad glass composition may comprise SrO. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 3 mol % SrO. In embodiments, the concentration of SrO in the glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, or even greater than or equal to 1 mol %. In embodiments, the concentration of SrO in the glass composition may be less than or equal to 3 mol % or even less than or equal to 2 mol %. In embodiments, the concentration of SrO in the glass composition may be greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0 mol % and less than or equal to 2 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 2 mol %, greater than or equal to 1 mol % and less than or equal to 3 mol %, or even greater than or equal to 1 mol % and less than or equal to 2 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of SrO.
[0076] In embodiments, the clad glass composition may comprise BaO. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 3 mol % BaO. In embodiments, the concentration of BaO in the glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, or even greater than or equal to 1 mol %. In embodiments, the concentration of SrO in the glass composition may be less than or equal to 3 mol % or even less than or equal to 2 mol %. In embodiments, the concentration of BaO in the glass composition may be greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0 mol % and less than or equal to 2 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 2 mol %, greater than or equal to 1 mol % and less than or equal to 3 mol %, or even greater than or equal to 1 mol % and less than or equal to 2 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of BaO.
[0077] As used herein, RO is the sum (in mol %) of MgO, CaO, SrO, and BaO (i.e., RO=MgO (mol %)+CaO (mol %)+SrO (mol %)+BaO (mol %)) present in the clad glass composition. The concentration of RO in the clad glass composition may be limited (e.g., to less than or equal to 10 mol %) to enable relatively fast ion-exchange. In embodiments, the concentration of RO in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 10 mol %. In embodiments, the concentration of RO in the clad glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1 mol %, or even greater than or equal to 2 mol %. In embodiments, the concentration of RO in the clad glass composition may be less than or equal to 10 mol %, less than or equal to 7 mol %, less than or equal to 5 mol %, or even less than or equal to 3 mol %. In embodiments, the concentration of RO in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 10 mol %, greater than or equal to 0 mol % and less than or equal to 7 mol %, greater than or equal to 0 mol % and less than or equal to 5 mol %, greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 10 mol %, greater than or equal to 0.5 mol % and less than or equal to 7 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 1 mol % and less than or equal to 10 mol %, greater than or equal to 1 mol % and less than or equal to 7 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, greater than or equal to 1 mol % and less than or equal to 3 mol %, greater than or equal to 2 mol % and less than or equal to 10 mol %, greater than or equal to 2 mol % and less than or equal to 7 mol %, greater than or equal to 2 mol % and less than or equal to 5 mol %, or even greater than or equal to 2 mol % and less than or equal to 3 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of RO.
[0078] In embodiments, the ratio of the sum of R.sub.2O and RO to Al.sub.2O.sub.3 (i.e., (R.sub.2O (mol %)+RO (mol %))/Al.sub.2O.sub.3 (mol %)) in the clad glass composition may be greater than or equal to 1 to ensure proper melting and the reduction or elimination of defects in the clad glass layer. In embodiments, (R.sub.2O+RO)/Al.sub.2O.sub.3 in the clad glass composition may be greater than or equal to 1, greater than or equal to 1.1, greater than or equal to 1.2, or even greater than or equal to 1.3. In embodiments, (R.sub.2O+RO)/Al.sub.2O.sub.3 in the clad glass composition may be less than or equal to 2, less than or equal to 1.8, less than or equal to 1.6, or even less than or equal to 1.4. In embodiments, (R.sub.2O+RO)/Al.sub.2O.sub.3 in the clad glass composition may be greater than or equal to 1 and less than or equal to 2, greater than or equal to 1 and less than or equal to 1.8, greater than or equal to 1 and less than or equal to 1.6, greater than or equal to 1 and less than or equal to 1.4, greater than or equal to 1.1 and less than or equal to 2, greater than or equal to 1.1 and less than or equal to 1.8, greater than or equal to 1.1 and less than or equal to 1.6, greater than or equal to 1.1 and less than or equal to 1.4, greater than or equal to 1.2 and less than or equal to 2, greater than or equal to 1.2 and less than or equal to 1.8, greater than or equal to 1.2 and less than or equal to 1.6, or even greater than or equal to 1.2 and less than or equal to 1.4, or any and all sub-ranges formed from any of these endpoints.
[0079] In embodiments, the clad glass composition may comprise P.sub.2O.sub.5. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 5 mol % P.sub.2O.sub.5. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 3 mol % P.sub.2O.sub.5. In embodiments, the concentration of P.sub.2O.sub.5 in the clad glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, or even greater than or equal to 1 mol %. In embodiments, the concentration of P.sub.2O.sub.5 in the clad glass composition may be less than or equal to 5 mol %, less than or equal to 4 mol %, or even less than or equal to 3 mol %. In embodiments, the concentration of P.sub.2O.sub.5 in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 5 mol %, greater than or equal to 0 mol % and less than or equal to 4 mol %, greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 4 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, greater than or equal to 1 mol % and less than or equal to 4 mol %, or even greater than or equal to 1 mol % and less than or equal to 3 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the clad glass composition may be free or substantially free of P.sub.2O.sub.5.
[0080] In embodiments, the clad glass compositions described herein may further include one or more fining agents. In embodiments, the fining agents may include, for example, SnO.sub.2. In embodiments, the clad glass composition may comprise greater than or equal to 0 mol % and less than or equal to 2 mol % SnO.sub.2. In embodiments, the concentration of SnO.sub.2 in the clad glass composition may be greater than or equal to 0 mol % or even greater than or equal to 0.1 mol %. In embodiments, the concentration of SnO.sub.2 in the clad glass composition may be less than or equal to 2 mol %, less than or equal to 1 mol %, or even less than or equal to 0.5 mol %. In embodiments, the concentration of SnO.sub.2 in the clad glass composition may be greater than or equal to 0 mol % and less than or equal to 2 mol %, greater than or equal to 0 mol % and less than or equal to 1 mol %, greater than or equal to 0 mol % and less than or equal to 0.5 mol %, greater than or equal to 0.1 mol % and less than or equal to 2 mol %, greater than or equal to 0.1 mol % and less than or equal to 1 mol %, or even greater than or equal to 0.1 mol % and less than or equal to 0.5 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the glass composition may be free or substantially free of SnO.sub.2.
[0081] In embodiments, the clad glass compositions described herein may further include tramp materials such as TiO.sub.2, MnO, MoO.sub.3, WO.sub.3, Y.sub.2O.sub.3, CdO, As.sub.2O.sub.3, Sb.sub.2O.sub.3, sulfur based compounds, such as sulfates, halogens, or combinations thereof. In embodiments, the clad glass compositions may be free or substantially free of individual tramp materials, a combination of tramp materials, or all tramp materials. For example, in embodiments, the clad glass compositions may be free or substantially free of TiO.sub.2, MnO, MoO.sub.3, WO.sub.3, Y.sub.2O.sub.3, CdO, As.sub.2O.sub.3, Sb.sub.2O.sub.3, sulfur-based compounds, such as sulfates, halogens, or combinations thereof.
[0082] In embodiments, the clad glass composition may comprise greater than or equal to 65 mol % and less than or equal to 74 mol % SiO.sub.2, greater than or equal to 8 mol % and less than or equal to 11 mol % Al.sub.2O.sub.3, greater than or equal to 7 mol % and less than or equal to 10 mol % B.sub.2O.sub.3, greater than or equal to 0 mol % and less than or equal to 3 mol % P.sub.2O.sub.5, greater than or equal to 0 mol % and less than or equal to 3 mol % Li.sub.2O, greater than or equal to 7.5 mol % and less than or equal to 11 mol % Na.sub.2O, greater than or equal to 0 mol % and less than or equal to 5 mol % MgO, and greater than or equal to 0 mol % and less than or equal to 5 mol % CaO.
[0083] In embodiments, the clad glass composition may comprise greater than or equal to 60 mol % and less than or equal to 70 mol % SiO.sub.2, greater than or equal to 10 mol % and less than or equal to 15 mol % Al.sub.2O.sub.3, greater than 0 mol % and less than or equal to 7 mol % B.sub.2O.sub.3, greater than or equal to 0 mol % and less than or equal to 5 mol % P.sub.2O.sub.5, greater than or equal to 7.5 mol % and less than or equal to 12 mol % Na.sub.2O; and greater than or equal to 0 mol % and less than or equal to 7 mol % MgO.
[0084] In embodiments, the LTCTE.sub.clad may be greater than or equal to 5 ppm/° C. and less than or equal to 6.5 ppm/° C. In embodiments, the LTCTE.sub.clad may be greater than or equal to 5 ppm/° C., greater than or equal to 5.25 ppm/° C., or even greater than or equal to 5.25 ppm/° C. In embodiments, the LTCTE.sub.clad may be less than or equal to 6.5 ppm/° C., less than or equal to 6.25 ppm/° C., or even less than or equal to 6 ppm/° C. In embodiments, the LTCTE.sub.clad may be greater than or equal to 5 ppm/° C. and less than or equal to 6.5 ppm/° C., greater than or equal to 5 ppm/° C. and less than or equal to 6.25 ppm/° C., greater than or equal to 5 ppm/° C. and less than or equal to 6 ppm/° C., greater than or equal to 5.25 ppm/° C. and less than or equal to 6.5 ppm/° C., greater than or equal to 5.25 ppm/° C. and less than or equal to 6.25 ppm/° C., greater than or equal to 5.25 ppm/° C. and less than or equal to 6 ppm/° C., greater than or equal to 5.5 ppm/° C. and less than or equal to 6.5 ppm/° C., greater than or equal to 5.5 ppm/° C. and less than or equal to 6.25 ppm/° C., or even greater than or equal to 5.5 ppm/° C. and less than or equal to 6 ppm/° C., or any and all sub-ranges formed from any of these endpoints.
[0085] In embodiments, the HTCTE.sub.clad may be greater than or equal to 15 ppm/° C. and less than or equal to 25 ppm/° C. In embodiments, the HTCTE.sub.clad may be greater than or equal to 15 ppm/° C., greater than or equal to 17 ppm/° C., or even greater than or equal to 19 ppm/° C. In embodiments, the HTCTE.sub.clad may be less than or equal to 25 ppm/° C., less than or equal to 23 ppm/° C., or less than or equal to 21 ppm/° C. In embodiments, the HTCTE.sub.clad may be greater than or equal to 15 ppm/° C. and less than or equal to 25 ppm/° C., greater than or equal to 15 ppm/° C. and less than or equal to 23 ppm/° C., greater than or equal to 15 ppm/° C. and less than or equal to 21 ppm/° C., greater than or equal to 17 ppm/° C. and less than or equal to 25 ppm/° C., greater than or equal to 17 ppm/° C. and less than or equal to 23 ppm/° C., greater than or equal to 17 ppm/° C. and less than or equal to 21 ppm/° C., greater than or equal to 19 ppm/° C. and less than or equal to 25 ppm/° C., greater than or equal to 19 ppm/° C. and less than or equal to 23 ppm/° C., or even greater than or equal to 19 ppm/° C. and less than or equal to 21 ppm/° C., or any and all sub-ranges formed from any of these endpoints.
[0086] In embodiments, the clad glass composition may have an annealing point greater than or equal to 525° C. and less than or equal to 715° C. In embodiments, the annealing point of the clad glass composition may be greater than or equal to 525° C., greater than or equal to 550° C., or even greater than or equal to 575° C. In embodiments, the annealing point of the clad glass composition may be less than or equal to 715° C., less than or equal to 700° C., less than or equal to 685° C., or even less than or equal to 670° C. In embodiments, the annealing point of the clad glass composition may be greater than or equal to 525° C. and less than or equal to 715° C., greater than or equal to 525° C. and less than or equal to 700° C., greater than or equal to 525° C. and less than or equal to 685° C., greater than or equal to 525° C. and less than or equal to 670° C., greater than or equal to 550° C. and less than or equal to 715° C., greater than or equal to 550° C. and less than or equal to 700° C., greater than or equal to 550° C. and less than or equal to 685° C., greater than or equal to 550° C. and less than or equal to 670° C., greater than or equal to 575° C. and less than or equal to 715° C., greater than or equal to 575° C. and less than or equal to 700° C., greater than or equal to 575° C. and less than or equal to 685° C., or even greater than or equal to 575° C. and less than or equal to 670° C., or any and all sub-ranges formed from any of these endpoints.
[0087] In embodiments, the clad glass composition may have a density greater than or equal to 2 g/cm.sup.3 or even greater than or equal to 2.3 g/cm.sup.3. In embodiments, the clad glass composition may have a density less than or equal to 2.7 g/cm.sup.3 or even less than or equal to 2.4 g/cm.sup.3. In embodiments, the clad glass composition may have a density greater than or equal to 2 g/cm.sup.3 and less than or equal to 2.7 g/cm.sup.3, greater than or equal to 2 g/cm.sup.3 and less than or equal to 2.4 g/cm.sup.3, greater than or equal to 2.3 g/cm.sup.3 and less than or equal to 2.7 g/cm.sup.3, or even greater than or equal to 2.3 g/cm.sup.3 and less than or equal to 2.4 g/cm.sup.3, or any and all sub-ranges formed from any of these endpoints.
[0088] In embodiments, the clad glass composition may have a strain point greater than or equal to 500° C. or even greater than or equal to 525° C. In embodiments, the clad glass composition may have a strain point less than or equal to 650° C. or even less than or equal to 625° C. In embodiments, the clad glass composition may have a strain point greater than or equal to 500° C. and less than or equal to 650° C., greater than or equal to 500° C. and less than or equal to 625° C., greater than or equal to 525° C. and less than or equal to 650° C., or even greater than or equal to 525° C. and less than or equal to 625° C., or any and all sub-ranges formed from any of these endpoints.
[0089] In embodiments, the clad glass composition may have a softening point greater than or equal to 825° C. or even greater than or equal to 850° C. In embodiments, the clad glass composition may have a softening point less than or equal to 950° C. or even less than or equal to 925° C. In embodiments, the clad glass composition may have a softening point greater than or equal to 825° C. and less than or equal to 950° C., greater than or equal to 825° C. and less than or equal to 925° C., greater than or equal to 850° C. and less than or equal to 950° C., or even greater than or equal to 850° C. and less than or equal to 925° C., or any and all sub-ranges formed from any of these endpoints.
[0090] In embodiments, the clad glass composition may have a SOC greater than or equal to 3.2 nm/mm/MPa or even greater than or equal to 3.4 nm/mm/MPa. In embodiments, the clad glass composition may have a SOC less than or equal to 3.7 nm/mm/MPa or even less than or equal to 3.6 nm/mm/MPa. In embodiments, the clad glass composition may have a SOC greater than or equal to 3.2 nm/mm/MPa and less than or equal to 3.7 nm/mm/MPa, greater than or equal to 3.2 nm/mm/MPa and less than or equal to 3.6 nm/mm/MPa, greater than or equal to 3.4 nm/mm/MPa and less than or equal to 3.7 nm/mm/MPa, or even greater than or equal to 3.4 nm/mm/MPa and less than or equal to 3.6 nm/mm/MPa, or any and all sub-ranges formed from any of these endpoints.
[0091] In embodiments, the clad glass composition may have a Young's modulus greater than or equal to 55 GPa or even greater than or equal to 60 GPa. In embodiments, the clad glass composition may have a Young's modulus less than or equal to 75 GPa or even less than or equal to 70 GPa. In embodiments, the clad glass composition may have a Young's modulus greater than or equal to 55 GPa and less than or equal to 75 GPa, greater than or equal to 55 GPa and less than or equal to 70 GPa, greater than or equal to 60 GPa and less than or equal to 75 GPa, or even greater than or equal to 60 GPa and less than or equal to 70 GPa, or any and all sub-ranges formed from any of these endpoints.
[0092] In embodiments, the clad glass composition may have a shear modulus greater than or equal to 20 GPa or even greater than or equal to 25 GPa. In embodiments, the clad glass composition may have a shear modulus less than or equal to 35 GPa or even less than or equal to 30 GPa. In embodiments, the clad glass composition may have a shear modulus greater than or equal to 20 GPa and less than or equal to 35 GPa, greater than or equal to 20 GPa and less than or equal to 30 GPa, greater than or equal to 25 GPa and less than or equal to 35 GPa, or even greater than or equal to 25 GPa and less than or equal to 30 GPa, or any and all sub-ranges formed from any of these endpoints.
[0093] In embodiments, the clad glass composition may have a refractive index greater than or equal to 1.4 or even greater than or equal to 1.45. In embodiments, the clad glass composition may have a refractive index less than or equal to 1.55 or even less than or equal to 1.5. In embodiments, the clad glass composition may have a refractive index greater than or equal to 1.4 and less than or equal to 1.55, greater than or equal to 1.4 and less than or equal to 1.5, greater than or equal to 1.45 and less than or equal to 1.55, or even greater than or equal to 1.45 and less than or equal to 1.5, or any and all sub-ranges formed from any of these endpoints.
[0094] In embodiments, the clad glass composition may have a Poisson's ratio greater than or equal to 0.15 or even greater than or equal to 0.2. In embodiments, the clad glass composition may have a Poisson's ratio less than or equal to 0.25 or even less than or equal to 0.23. In embodiments, the clad glass composition may have a Poisson's ratio greater than or equal to 0.15 and less than or equal to 0.25, greater than or equal to 0.15 and less than or equal to 0.23, greater than or equal to 0.2 and less than or equal to 0.25, or even greater than or equal to 0.2 and less than or equal to 0.23, or any and all sub-ranges formed from any of these endpoints.
[0095] In embodiments, the clad glass composition may have a VFT A greater than or equal to −5 and less than or equal to −2, a VFT B greater than or equal to 800 and less than or equal to 14500, and a VFT T.sub.o greater than or equal to −400 and less than or equal to 100.
[0096] In embodiments, the clad glass composition may have a 200 Poise temperature greater than or equal to 1600° C. or even greater than or equal to 1650° C. In embodiments, the clad glass composition may have a 200 Poise temperature less than or equal to 1850° C. or even less than or equal to 1800° C. In embodiments, the clad glass composition may have a 200 Poise temperature greater than or equal to 1600° C. and less than or equal to 1850° C., greater than or equal to 1600° C. and less than or equal to 1800° C., greater than or equal to 1650° C. and less than or equal to 1850° C., or even greater than or equal to 1650° C. and less than or equal to 1800° C., or any and all sub-ranges formed from any of these endpoints.
[0097] In embodiments, the clad glass composition may have a 35k Poise temperature greater than or equal to 1100° C. or even greater than or equal to 1150° C. In embodiments, the clad glass composition may have a 35k Poise temperature less than or equal to 1300° C. or even less than or equal to 1250° C. In embodiments, the clad glass composition may have a 35k Poise temperature greater than or equal to 1100° C. and less than or equal to 1300° C., greater than or equal to 1100° C. and less than or equal to 1250° C., greater than or equal to 1150° C. and less than or equal to 1300° C., or even greater than or equal to 1150° C. and less than or equal to 1250° C., or any and all sub-ranges formed from any of these endpoints.
[0098] In embodiments, the clad glass composition may have a 100k Poise temperature greater than or equal to 1050° C. or even greater than or equal to 1100° C. In embodiments, the clad glass composition may have a 100k Poise temperature less than or equal to 1200° C. or even less than or equal to 1150° C. In embodiments, the clad glass composition may have a 100k Poise temperature greater than or equal to 1050° C. and less than or equal to 1200° C., greater than or equal to 1050° C. and less than or equal to 1150° C., greater than or equal to 1100° C. and less than or equal to 1200° C., or even greater than or equal to 1100° C. and less than or equal to 1150° C., or any and all sub-ranges formed from any of these endpoints.
[0099] In embodiments, the clad glass composition may have a 200k Poise temperature greater than or equal to 1000° C. or even greater than or equal to 1050° C. In embodiments, the clad glass composition may have a 200k Poise temperature less than or equal to 1200° C. or even less than or equal to 1150° C. In embodiments, the clad glass composition may have a 200k Poise temperature greater than or equal to 1000° C. and less than or equal to 1200° C., greater than or equal to 1000° C. and less than or equal to 1150° C., greater than or equal to 1050° C. and less than or equal to 1200° C., or even greater than or equal to 1050° C. and less than or equal to 1150° C., or any and all sub-ranges formed from any of these endpoints.
[0100] In embodiments, the clad glass composition may have a liquidus temperature greater than or equal to 900° C. or even greater than or equal to 950° C. In embodiments, the clad glass composition may have a liquidus temperature less than or equal to 1200° C. or even less than or equal to 1150° C. In embodiments, the clad glass composition may have a liquidus temperature greater than or equal to 900° C. and less than or equal to 1200° C., greater than or equal to 900° C. and less than or equal to 1150° C., greater than or equal to 950° C. and less than or equal to 1200° C., or even greater than or equal to 950° C. and less than or equal to 1150° C., or any and all sub-ranges formed from any of these endpoints.
[0101] Core Glass Compositions
[0102] The core glass compositions described herein may be described as aluminosilicate glass compositions and comprise SiO.sub.2 and Al.sub.2O.sub.3. The core glass compositions described herein further include CaO and Na.sub.2O to reduce the viscosity for melting, thereby enhancing the formability of the core glass composition.
[0103] SiO.sub.2 is the primary glass former in the core glass compositions described herein and may function to stabilize the network structure of the core glass compositions. The concentration of SiO.sub.2 in the core glass compositions should be sufficiently high (e.g., greater than or equal to 60 mol %) to provide basic glass forming capability. The amount of SiO.sub.2 may be limited (e.g., to less than or equal to 73 mol %) to control the melting point of the core glass composition, as the melting temperature of pure SiO.sub.2 or high SiO.sub.2 glasses is undesirably high. Thus, limiting the concentration of SiO.sub.2 may aid in improving the meltability and the formability of the core glass composition.
[0104] Accordingly, in embodiments, the core glass composition may comprise greater than or equal to 60 mol % and less than or equal to 73 mol % SiO.sub.2. In embodiments, the concentration of SiO.sub.2 in the core glass composition may be greater than or equal to 60 mol %, greater than or equal to 63 mol %, or even greater than or equal to 65 mol %. In embodiments, the concentration of SiO.sub.2 in the core glass composition may be less than or equal to 73 mol %, less than or equal to 71 mol %, or even less than or equal to 69 mol %. In embodiments, the concentration of SiO.sub.2 in the core glass composition may be greater than or equal to 60 mol % and less than or equal to 73 mol %, greater than or equal to 60 mol % and less than or equal to 71 mol %, greater than or equal to 60 mol % and less than or equal to 69 mol %, greater than or equal to 63 mol % and less than or equal to 73 mol %, greater than or equal to 63 mol % and less than or equal to 71 mol %, greater than or equal to 63 mol % and less than or equal to 69 mol %, greater than or equal to 65 mol % and less than or equal to 73 mol %, greater than or equal to 65 mol % and less than or equal to 71 mol %, or even greater than or equal to 65 mol % and less than or equal to 69 mol %, or any and all sub-ranges formed from any of these endpoints.
[0105] Like SiO.sub.2, Al.sub.2O.sub.3 may also stabilize the core glass network and additionally provides improved mechanical properties and chemical durability to the core glass composition. The amount of Al.sub.2O.sub.3 may also be tailored to the control the viscosity of the core glass composition. The concentration of Al.sub.2O.sub.3 should be sufficiently high (e.g., greater than 0 mol %) such that the core glass composition has the desired mechanical properties (e.g., Young's modulus greater than or equal to 65 GPa). However, if the amount of Al.sub.2O.sub.3 is too high (e.g., greater than 16.5 mol %), the viscosity of the melt may increase, thereby diminishing the formability of the core glass composition. In embodiments, the core glass composition may comprise greater than 0 mol % and less than or equal to 16.5 mol % Al.sub.2O.sub.3. In embodiments, the core glass composition may comprise greater than or equal to 0.5 mol % and less than or equal to 13 mol % Al.sub.2O.sub.3. In embodiments, the concentration of Al.sub.2O.sub.3 in the core glass composition may be greater than 0 mol %, greater than or equal to 0.5 mol %, or even greater than or equal to 1 mol %. In embodiments, the concentration of Al.sub.2O.sub.3 in the core glass composition may be less than or equal to 16.5 mol %, less than or equal to 13 mol %, less than or equal to 10 mol %, less than or equal to 7 mol %, less than or equal to 5 mol %, or even less than or equal to 3 mol %. In embodiments, the concentration of Al.sub.2O.sub.3 in the core glass composition may be greater than 0 mol % and less than or equal to 16.5 mol %, greater than 0 mol % and less than or equal to 13 mol %, greater than 0 mol % and less than or equal to 10 mol %, greater than 0 mol % and less than or equal to 7 mol %, greater than 0 mol % and less than or equal to 5 mol %, greater than 0 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 16.5 mol %, greater than or equal to 0.5 mol % and less than or equal to 13 mol %, greater than or equal to 0.5 mol % and less than or equal to 10 mol %, greater than or equal to 0.5 mol % and less than or equal to 7 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 1 mol % and less than or equal to 16.5 mol %, greater than or equal to 1 mol % and less than or equal to 13 mol %, greater than or equal to 1 mol % and less than or equal to 10 mol %, greater than or equal to 1 mol % and less than or equal to 7 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, or even greater than or equal to 1 mol % and less than or equal to 3 mol %, or any and all sub-ranges formed from any of these endpoints.
[0106] The core glass composition described herein comprises CaO to reduce the viscosity for melting. In embodiments, the core glass composition may comprise greater than or equal to 1 mol % and less than or equal to 12 mol % CaO. In embodiments, the concentration of CaO in the core glass composition may be greater than or equal to 1 mol %, greater than or equal to 3 mol %, greater than or equal to 5 mol %, or even greater than or equal to 7 mol %. In embodiments, the concentration of CaO in the core glass composition may be less than or equal to 12 mol % or even less than or equal to 10 mol %. In embodiments, the concentration of CaO in the core glass composition may be greater than or equal to 1 mol % and less than or equal to 12 mol %, greater than or equal to 1 mol % and less than or equal to 10 mol %, greater than or equal to 3 mol % and less than or equal to 12 mol %, greater than or equal to 3 mol % and less than or equal to 10 mol %, greater than or equal to 5 mol % and less than or equal to 12 mol %, greater than or equal to 5 mol % and less than or equal to 10 mol %, greater than or equal to 7 mol % and less than or equal to 12 mol %, or even greater than or equal to 7 mol % and less than or equal to 10 mol %, or any and all sub-ranges formed from any of these endpoints.
[0107] In embodiments, the core glass composition may comprise MgO. In embodiments, the core glass composition may comprise greater than or equal to 0 mol % and less than or equal to 10 mol % MgO. In embodiments, the core glass composition may comprise greater than or equal to 2 mol % and less than or equal to 8 mol % MgO. In embodiments, the concentration of MgO in the core glass composition may be greater than or equal to 0 mol %, greater than or equal to 2 mol %, greater than or equal to 4 mol %, or even greater than or equal to 6 mol %. In embodiments, the concentration of MgO in the core glass composition may be less than or equal to 10 mol % or even less than or equal to 8 mol %. In embodiments, the concentration of MgO in the core glass composition may be greater than or equal to 0 mol % and less than or equal to 10 mol %, greater than or equal to 0 mol % and less than or equal to 8 mol %, greater than or equal to 2 mol % and less than or equal to 10 mol %, greater than or equal to 2 mol % and less than or equal to 8 mol %, greater than or equal to 4 mol % and less than or equal to 10 mol %, greater than or equal to 4 mol % and less than or equal to 8 mol %, greater than or equal to 6 mol % and less than or equal to 10 mol %, or even greater than or equal to 6 mol % and less than or equal to 8 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the core glass composition may be free or substantially free of MgO.
[0108] As described hereinabove, the core glass compositions may contain Na.sub.2O to reduce the viscosity for melting. In embodiments, the core glass composition may comprise greater than or equal to 3 mol % and less than or equal to 15 mol % Na.sub.2O. In embodiments, the core glass composition may comprise greater than or equal to 5 mol % and less than or equal to 14.5 mol % Na.sub.2O. In embodiments, the core glass composition may comprise greater than or equal to 7 mol % and less than or equal to 14 mol % Na.sub.2O. In embodiments, the concentration of Na.sub.2O in the core glass composition may be greater than or equal to 3 mol %, greater than or equal to 5 mol %, greater than or equal to 7 mol %, or even greater than or equal to 9 mol %. In embodiments, the concentration of Na.sub.2O in the core glass composition may be less than or equal to 15 mol %, less than or equal to 14.5 mol %, less than or equal to 14 mol %, less than or equal to 13.5 mol %, or even less than or equal to 13 mol %. In embodiments, the concentration of Na.sub.2O in the core glass composition may be greater than or equal to 3 mol % and less than or equal to 15 mol %, greater than or equal to 3 mol % and less than or equal to 14.5 mol %, greater than or equal to 3 mol % and less than or equal to 14 mol %, greater than or equal to 3 mol % and less than or equal to 13.5 mol %, greater than or equal to 3 mol % and less than or equal to 13 mol %, greater than or equal to 5 mol % and less than or equal to 15 mol %, greater than or equal to 5 mol % and less than or equal to 14.5 mol %, greater than or equal to 5 mol % and less than or equal to 14 mol %, greater than or equal to 5 mol % and less than or equal to 13.5 mol %, greater than or equal to 5 mol % and less than or equal to 13 mol %, greater than or equal to 7 mol % and less than or equal to 15 mol %, greater than or equal to 7 mol % and less than or equal to 14.5 mol %, greater than or equal to 7 mol % and less than or equal to 14 mol %, greater than or equal to 7 mol % and less than or equal to 13.5 mol %, greater than or equal to 7 mol % and less than or equal to 13 mol %, greater than or equal to 9 mol % and less than or equal to 15 mol %, greater than or equal to 9 mol % and less than or equal to 14.5 mol %, greater than or equal to 9 mol % and less than or equal to 14 mol %, greater than or equal to 9 mol % and less than or equal to 13.5 mol %, or even greater than or equal to 9 mol % and less than or equal to 13 mol %, or any and all sub-ranges formed from any of these endpoints.
[0109] In embodiments, CaO may be substituted for Na.sub.2O to decrease the LTCTE of the core glass composition. In embodiments, Na.sub.2O may be substituted for CaO to increase the HTCTE of the core glass composition. Accordingly, CaO may be substituted for Na.sub.2O or vice versa to tune the core glass composition LTCTE or HTCTE to ensure there is a sufficient differential across the entire CTE curve from room temperature to above the glass transition temperature.
[0110] The core glass compositions described herein may further comprise alkali metal oxides other than Na.sub.2O, such as K.sub.2O and Li.sub.2O. K.sub.2O, when included, may decrease the melting point to improve the formability of the core glass composition. However, adding too much K.sub.2O may cause the melting point to be too low. Accordingly, in embodiments, the amount of K.sub.2O added to the core glass composition may be limited. In embodiments, the core glass composition may comprise greater than or equal to 0 mol % and less than or equal to 6 mol % K.sub.2O. In embodiments, the core glass composition may comprise greater than or equal to 0.25 mol % and less than or equal to 5 mol % K.sub.2O. In embodiments, the concentration of K.sub.2O in the core glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.25 mol %, greater than or equal to 0.5 mol %, or even greater than or equal to 1 mol %. In embodiments, the concentration of K.sub.2O in the core glass composition may be less than or equal to 6 mol %, less than or equal to 5 mol %, or even less than or equal to 4 mol %. In embodiments, the concentration of K.sub.2O in the core glass composition may be greater than or equal to 0 mol % and less than or equal to 6 mol %, greater than or equal to 0 mol % and less than or equal to 5 mol %, greater than or equal to 0 mol % and less than or equal to 4 mol %, greater than or equal to 0.25 mol % and less than or equal to 6 mol %, greater than or equal to 0.25 mol % and less than or equal to 5 mol %, greater than or equal to 0.25 mol % and less than or equal to 4 mol %, greater than or equal to 0.5 mol % and less than or equal to 6 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 4 mol %, greater than or equal to 1 mol % and less than or equal to 6 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, or even greater than or equal to 1 mol % and less than or equal to 4 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the core glass composition may be free or substantially free of K.sub.2O.
[0111] Li.sub.2O decreases the melting point and improves formability of the core glass composition. In embodiments, the concentration of Li.sub.2O in the core glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, or even greater than or equal to 1 mol %. In embodiments, the concentration of Li.sub.2O in the core glass composition may be less than or equal to 10 mol %, less than or equal to 7 mol %, less than or equal to 5 mol % or even less than or equal to 3 mol %. In embodiments, the concentration of Li.sub.2O in the core glass composition may be greater than or equal to 0 mol % and less than or equal to 10 mol %, greater than or equal to 0 mol % and less than or equal to 7 mol %, greater than or equal to 0 mol % and less than or equal to 5 mol %, greater than or equal to 0 mol % and less than or equal to 3 mol %, greater than or equal to 0.5 mol % and less than or equal to 10 mol %, greater than or equal to 0.5 mol % and less than or equal to 7 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 3 mol %, greater than or equal to 1 mol % and less than or equal to 10 mol %, greater than or equal to 1 mol % and less than or equal to 7 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, or even greater than or equal to 1 mol % and less than or equal to 3 mol %, or any and all sub-ranges and formed from any of these endpoints. In embodiments, the core glass composition may be free or substantially free of Li.sub.2O.
[0112] As used herein, R.sub.2O is the sum (in mol %) of Na.sub.2O, K.sub.2O, and Li.sub.2O (i.e., R.sub.2O=Na.sub.2O (mol %)+K.sub.2O (mol %)+Li.sub.2O (mol %)) present in the core glass compositions. Alkali oxides, such as Na.sub.2O, K.sub.2O, and Li.sub.2O, aid in decreasing the softening point and molding temperature of the core glass composition, thereby offsetting the increase in the softening point and molding temperature of the core glass composition due to higher amounts of SiO.sub.2 in the core glass composition, for example.
[0113] In embodiments, the concentration of R.sub.2O in the core glass composition may be greater than or equal to 3 mol % and less than or equal to 20 mol %. In embodiments, the concentration of R.sub.2O in the core glass composition may be greater than or equal to 5 mol % and less than or equal to 18 mol %. In embodiments, the concentration of R.sub.2O in the core glass composition may be greater than or equal to 3 mol %, greater than or equal to 5 mol %, or even greater than or equal to 7 mol %. In embodiments, the concentration of R.sub.2O in the core glass composition may be less than or equal to 20 mol %, less than or equal to 18 mol %, less than or equal to 16 mol %, less than or equal to 14 mol %, or even less than or equal to 12 mol %. In embodiments, the concentration of R.sub.2O in the core glass composition may be greater than or equal to 3 mol % and less than or equal to 20 mol %, greater than or equal to 3 mol % and less than or equal to 18 mol %, greater than or equal to 3 mol % and less than or equal to 16 mol %, greater than or equal to 3 mol % and less than or equal to 14 mol %, greater than or equal to 3 mol % and less than or equal to 12 mol %, greater than equal to 5 mol % and less than or equal to 20 mol %, greater than or equal to 5 mol % and less than or equal to 18 mol %, greater than or equal to 5 mol % and less than or equal to 16 mol %, greater than or equal to 5 mol % and less than or equal to 14 mol %, greater than or equal to 5 mol % and less than or equal to 12 mol %, equal to 7 mol % and less than or equal to 20 mol %, greater than or equal to 7 mol % and less than or equal to 18 mol %, greater than or equal to 7 mol % and less than or equal to 16 mol %, greater than or equal to 7 mol % and less than or equal to 14 mol %, or even greater than or equal to 7 mol % and less than or equal to 12 mol %, or any and all sub-ranges formed from any of these endpoints.
[0114] In embodiments, the core glass compositions described herein may further comprise B.sub.2O.sub.3. The addition of B.sub.2O.sub.3 in the core glass composition may help to increase the HTCTE differential. When boron in the core glass composition is not charge balanced by alkali oxides or divalent cation oxides (such as MgO, CaO, SrO, BaO, and ZnO), the boron will be in a trigonal-coordination state (or three-coordinated boron). Lower coordinated species, such as three-coordinated boron, may have higher configurational expansion. In embodiments, the core glass composition may comprise greater than or equal to 0 mol % and less than or equal to 24 mol % B.sub.2O.sub.3. In embodiments, the core glass composition may comprise greater than or equal to 1.5 mol % and less than or equal to 22 mol % B.sub.2O.sub.3. In embodiments, the concentration of B.sub.2O.sub.3 in the core glass composition may be greater than or equal to 0 mol %, greater than or equal to 1 mol %, greater than or equal to 3 mol %, or even greater than or equal to 5 mol %. In embodiments, the concentration of B.sub.2O.sub.3 in the core glass composition may be less than or equal to 24 mol %, less than or equal to 20 mol %, less than or equal to 16 mol %, less than or equal to 12 mol %, or even less than or equal to 8 mol %. In embodiments, the concentration of B.sub.2O.sub.3 in the core glass composition may be greater than or equal to 0 mol % and less than or equal to 24 mol %, greater than or equal to 0 mol % and less than or equal to 20 mol %, greater than or equal to 0 mol % and less than or equal to 16 mol %, greater than or equal to 0 mol % and less than or equal to 12 mol %, greater than or equal to 0 mol % and less than or equal to 8 mol %, greater than or equal to 1 mol % and less than or equal to 24 mol %, greater than or equal to 1 mol % and less than or equal to 20 mol %, greater than or equal to 1 mol % and less than or equal to 16 mol %, greater than or equal to 1 mol % and less than or equal to 12 mol %, greater than or equal to 1 mol % and less than or equal to 8 mol %, greater than or equal to 3 mol % and less than or equal to 24 mol %, greater than or equal to 3 mol % and less than or equal to 20 mol %, greater than or equal to 3 mol % and less than or equal to 16 mol %, greater than or equal to 3 mol % and less than or equal to 12 mol %, greater than or equal to 3 mol % and less than or equal to 8 mol %, greater than or equal to 5 mol % and less than or equal to 24 mol %, greater than or equal to 5 mol % and less than or equal to 20 mol %, greater than or equal to 5 mol % and less than or equal to 16 mol %, greater than or equal to 5 mol % and less than or equal to 12 mol %, or even greater than or equal to 5 mol % and less than or equal to 8 mol %, or any and all sub-ranges formed from any of these endpoints. In embodiments, the core glass composition may be free or substantially free of B.sub.2O.sub.3.
[0115] In embodiments, the core glass compositions described herein may further comprise P.sub.2O.sub.5. In embodiments, the concentration of P.sub.2O.sub.5 in the core glass composition may be greater than or equal to 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1 mol %, or even greater than or equal to 2 mol %. In embodiments, the concentration of P.sub.2O.sub.5 in the core glass composition may be less than or equal to 5 mol % or even less than or equal to 4 mol %. In embodiments, the concentration of P.sub.2O.sub.5 in the core glass composition may be greater than or equal to 0 mol % and less than or equal to 5 mol %, greater than or equal to 0 mol % and less than or equal to 4 mol %, greater than or equal to 0.5 mol % and less than or equal to 5 mol %, greater than or equal to 0.5 mol % and less than or equal to 4 mol %, greater than or equal to 1 mol % and less than or equal to 5 mol %, greater than or equal to 1 mol % and less than or equal to 4 mol %, greater than or equal to 2 mol % and less than or equal to 5 mol %, or even greater than or equal to 2 mol % and less than or equal to 4 mol %, or any and all sub-ranges formed from any of these endpoints.
[0116] In embodiments, the core glass compositions described herein may further include one or more fining agents. In embodiments, the fining agents may include, for example, SnO.sub.2. In embodiments, the concentration of SnO.sub.2 in the core glass composition may be greater than or equal to 0 mol % and less than or equal to 0.5 mol %. In embodiments, the glass composition may be free or substantially free of SnO.sub.2.
[0117] In embodiments, the core glass compositions described herein may further include tramp materials such as Fe.sub.2O.sub.3, TiO.sub.2, MnO, MoO.sub.3, WO.sub.3, Y.sub.2O.sub.3, CdO, As.sub.2O.sub.3, Sb.sub.2O.sub.3, sulfur-based compounds, such as sulfates, halogens, or combinations thereof. In embodiments, the core glass compositions may be free or substantially free of individual tramp materials, a combination of tramp materials, or all tramp materials. For example, in embodiments, the core glass compositions may be free or substantially free of Fe.sub.2O.sub.3, TiO.sub.2, MnO, MoO.sub.3, WO.sub.3, Y.sub.2O.sub.3, CdO, As.sub.2O.sub.3, Sb.sub.2O.sub.3, sulfur-based compounds, such as sulfates, halogens, or combinations thereof.
[0118] In embodiments, the LTCTE.sub.core may be greater than or equal to 6 ppm/° C. and less than or equal to 9 ppm/° C. In embodiments, the LTCTE.sub.core may be greater than or equal to 6 ppm/° C., greater than or equal to 6.5 ppm/° C., or even greater than or equal to 7 ppm/° C. In embodiments, the LTCTE.sub.COI may be less than or equal to 9 ppm/° C. or even less than or equal to 8.5 ppm/° C. In embodiments, the LTCTE.sub.core may be greater than or equal to 6 ppm/° C. and less than or equal to 9 ppm/° C., greater than or equal to 6 ppm/° C. and less than or equal to 8.5 ppm/° C., greater than or equal to 6.5 ppm/° C. and less than or equal to 9 ppm/° C., greater than or equal to 6.5 ppm/° C. and less than or equal to 8.5 ppm/° C., greater than or equal to 7 ppm/° C. and less than or equal to 9 ppm/° C., or even greater than or equal to 7 ppm/° C. and less than or equal to 8.5 ppm/° C., or any and all sub-ranges formed from any of these endpoints.
[0119] In embodiments, the HTCTE.sub.core may be greater than or equal to 35 ppm/° C. and less than or equal to 45 ppm/° C. In embodiments, the HTCTE.sub.core may be greater than or equal to 35 ppm/° C. or even greater than or equal to 38 ppm/° C. In embodiments, the HTCTE.sub.core may be less than or equal to 45 ppm/° C. or even less than or equal to 43 ppm/° C. In embodiments, the HTCTE.sub.core may be greater than or equal to 35 ppm/° C. and less than 45 ppm/° C., greater than or equal to 35 ppm/° C. and less than 43 ppm/° C., greater than or equal to 38 ppm/° C. and less than 45 ppm/° C., or even greater than or equal to 38 ppm/° C. and less than 43 ppm/° C., or any and all sub-ranges formed from any of these endpoints.
[0120] In embodiments, the core glass composition may have an annealing point greater than or equal to 500° C. and less than or equal to 600° C. In embodiments, the core glass composition may have an annealing point greater than or equal to 500° C. or even greater than or equal to 525° C. In embodiments, the core glass composition may have an annealing point less than or equal to 600° C. or even less than or equal to 575° C. In embodiments, the core glass composition may have an annealing point greater than or equal to 500° C. and less than or equal to 600° C., greater than or equal to 500° C. and less than or equal to 575° C., greater than or equal to 525° C. and less than or equal to 600° C., or even greater than or equal to 525° C. and less than or equal to 575° C., or any and all sub-ranges formed from any of these endpoints.
[0121] In embodiments, the core glass composition may have a density greater than or equal to 2.4 g/cm.sup.3 or even greater than or equal to 2.45 g/cm.sup.3. In embodiments, the core glass composition may have a density less than or equal to 2.6 g/cm.sup.3 or even less than or equal to 2.55 g/cm.sup.3. In embodiments, the core glass composition may have a density greater than or equal to 2.4 g/cm.sup.3 and less than or equal to 2.6 g/cm.sup.3, greater than or equal to 2.4 g/cm.sup.3 and less than or equal to 2.55 g/cm.sup.3, greater than or equal to 2.45 g/cm.sup.3 and less than or equal to 2.6 g/cm.sup.3, or even greater than or equal to 2.45 g/cm.sup.3 and less than or equal to 2.55 g/cm.sup.3, or any and all sub-ranges formed from any of these endpoints.
[0122] In embodiments, the core glass composition may have a strain point greater than or equal to 450° C. or even greater than or equal to 500° C. In embodiments, the core glass composition may have a strain point less than or equal to 600° C. or even less than or equal to 550° C. In embodiments, the core glass composition may have a strain point greater than or equal to 450° C. and less than or equal to 600° C., greater than or equal to 450° C. and less than or equal to 550° C., greater than or equal to 500° C. and less than or equal to 600° C., or even greater than or equal to 500° C. and less than or equal to 550° C., or any and all sub-ranges formed from any of these endpoints.
[0123] In embodiments, the core glass composition may have a softening point greater than or equal to 650° C. or even greater than or equal to 675° C. In embodiments, the core glass composition may have a softening point less than or equal to 750° C. or even less than or equal to 725° C. In embodiments, the core glass composition may have a softening point greater than or equal to 650° C. and less than or equal to 750° C., greater than or equal to 650° C. and less than or equal to 725° C., greater than or equal to 675° C. and less than or equal to 750° C., greater than or equal to 675° C. and less than or equal to 725° C., or any and all sub-ranges formed from any of these endpoints.
[0124] In embodiments, the core glass composition may have an SOC greater than or equal to 2.4 nm/mm/MPa or even greater than or equal to 2.6 nm/mm/MPa. In embodiments, the core glass composition may have an SOC less than or equal to 3.2 nm/mm/MPa or even less than or equal to 2.8 nm/mm/MPa. In embodiments, the core glass composition may have an SOC greater than or equal to 2.4 nm/mm/MPa and less than or equal to 3.2 nm/mm/MPa, greater than or equal to 2.4 nm/mm/MPa and less than or equal to 2.8 nm/mm/MPa, greater than or equal to 2.6 nm/mm/MPa and less than or equal to 3.2 nm/mm/MPa, or even greater than or equal to 2.6 nm/mm/MPa and less than or equal to 2.8 nm/mm/MPa, or any and all sub-ranges formed from any of these endpoints.
[0125] In embodiments, the core glass composition may have a Young's modulus greater than or equal to 65 GPa or even greater than or equal to 70 GPa. In embodiments, the core glass composition may have a Young's modulus less than or equal to 85 GPa or even less than or equal to 80 GPa. In embodiments, the core glass composition may have a Young's modulus greater than or equal to 65 GPa and less than or equal to 85 GPa, greater than or equal to 65 GPa and less than or equal to 80 GPa, greater than or equal to 70 GPa and less than or equal to 85 GPa, or even greater than or equal to 70 GPa and less than or equal to 80 GPa, or any and all sub-ranges formed from any of these endpoints.
[0126] In embodiments, the core glass composition may have a shear modulus greater than or equal to 25 GPa or even greater than or equal to 30 GPa. In embodiments, the core glass composition may have a shear modulus less than or equal to 40 GPa or even less than or equal to 25 GPa. In embodiments, the core glass composition may have a shear modulus greater than or equal to 25 GPa and less than or equal to 40 GPa, greater than or equal to 25 GPa and less than or equal to 35 GPa, greater than or equal to 30 GPa and less than or equal to 40 GPa, or even greater than or equal to 30 GPa and less than or equal to 35 GPa, or any and all sub-ranges formed from any of these endpoints.
[0127] In embodiments, the core glass composition may have a refractive index greater than or equal to 1.45 or even greater than or equal to 1.5. In embodiments, the core glass composition may have a refractive index less than or equal to 1.6 or even less than or equal to 1.55. In embodiments, the core glass composition may have a refractive index greater than or equal to 1.45 and less than or equal to 1.6, greater than or equal to 1.45 and less than or equal to 1.55, greater than or equal to 1.5 and less than or equal to 1.6, or even greater than or equal to 1.5 and less than or equal to 1.55, or any and all sub-ranges formed from any of these endpoints.
[0128] In embodiments, the core glass composition may have a Poisson's ratio greater than or equal to 0.15 or even greater than or equal to 0.2. In embodiments, the core glass composition may have a Poisson's ratio less than or equal to 0.3 or even less than or equal to 0.25. In embodiments, the core glass composition may have a Poisson's ratio greater than or equal to 0.15 and less than or equal to 0.3, greater than or equal to 0.15 and less than or equal to 0.25, greater than or equal to 0.2 and less than or equal to 0.3, or even greater than or equal to 0.2 and less than or equal to 0.25, or any and all sub-ranges formed from any of these endpoints.
[0129] In embodiments, the core glass composition may have a VFT A greater than or equal to −2 and less than or equal to 0, a VFT B greater than or equal to 2500 and less than or equal to 4000, and a VFT T.sub.o greater than or equal to 300 and less than or equal to 400.
[0130] In embodiments, the core glass composition may have a liquidus viscosity greater than or equal to 5 kP or even greater than or equal to 10 kP. In embodiments, the core glass composition may have a liquidus viscosity less than or equal to 30 kP or even less than or equal to 25 kP. In embodiments, the core glass composition may have a liquidus viscosity greater than or equal to 5 kP and less than or equal to 30 kP, greater than or equal to 5 kP and less than or equal to 25 kP, greater than or equal to 10 kP and less than or equal to 30 kP, or even greater than or equal to 10 kP and less than or equal to 25 kP, or any and all sub-ranges formed from any of these endpoints.
[0131] Glass Laminate Article
[0132] Referring now to
[0133]
[0134] In embodiments, the glass laminate article may have a thickness greater than or equal to 0.1 mm and less than or equal 3 mm, greater than or equal to 0.1 mm and less than or equal to 2 mm, greater than or equal to 0.1 mm and less than or equal to 1 mm, greater than or equal to 0.3 mm and less than or equal 3 mm, greater than or equal to 0.3 mm and less than or equal to 2 mm, greater than or equal to 0.3 mm and less than or equal to 1 mm, greater than or equal to 0.5 mm and less than or equal 3 mm, greater than or equal to 0.5 mm and less than or equal to 2 mm, or even greater than or equal to 0.5 mm and less than or equal to 1 mm, or any and all sub-ranges formed from any of these endpoints.
[0135] In embodiments, the glass laminate article 100 may have a thickness t and each clad glass layer 104a, 104b may have a thickness greater than or equal to 0.01t and less than or equal to 0.35t, greater than or equal to 0.01 t and less than or equal to 0.25t, greater than or equal to 0.01t and less than or equal to 0.15t, greater than or equal to 0.01t and less than or equal to 0.1t, greater than or equal to 0.025t and less than or equal to 0.35t, greater than or equal to 0.025t and less than or equal to 0.25t, greater than or equal to 0.025t and less than or equal to 0.15t, greater than or equal to 0.025t and less than or equal to 0.1t, greater than or equal to 0.05t and less than or equal to 0.35t, greater than or equal to 0.05t and less than or equal to 0.25t, greater than or equal to 0.05t and less than or equal to 0.15t, or even greater than or equal to 0.05t and less than or equal to 0.1t, or any and all sub-ranges formed from any of these endpoints.
[0136] The glass laminate articles 100 described herein may be formed by a fusion lamination process such as the process described in U.S. Pat. No. 4,214,886, which is incorporated herein by reference. Referring to
[0137] As the molten glass core composition 208 fills the trough 212, it overflows the trough 212 and flows over the outer forming surfaces 216, 218 of the lower isopipe 204. The outer forming surfaces 216, 218 of the lower isopipe 204 converge at a root 220. Accordingly, the molten core glass composition 208 flowing over the outer forming surfaces 216, 218 rejoins at the root 220 of the lower isopipe 204, thereby forming a core glass layer 102 of a glass laminate article.
[0138] Simultaneously, the molten clad glass composition 206 overflows the trough 210 formed in the upper isopipe 202 and flows over outer forming surfaces 222, 224 of the upper isopipe 202. The molten clad glass composition 206 is outwardly deflected by the upper isopipe 202 such that the molten clad glass composition 206 flows around the lower isopipe 204 and contacts the molten core composition 208 flowing over the outer forming surfaces 216, 218 of the lower isopipe, fusing the molten core glass composition and forming clad glass layers 104a, 104b around the core layer 102.
[0139] Upon cooling of the glass laminate article 100 after the lamination process, the CIE differential between the core glass layer 102 and the clad glass layers 104a, 104b is sufficient to cause the core glass layer 102 to contract or shrink more than the clad glass layers 104a, 104b. This causes the core glass layer 102 to be in a state of tension and the clad glass layers 104a, 104b to be in a state of compression. The compressive stresses in the clad glass layers 104a, 104b inhibit fracture formation and fracture propagation into clad glass layers 104a, 104b, thereby strengthening the glass laminate article 100.
[0140] As described herein, conventionally, the core glass composition and clad glass composition combination is selected to produce a sufficient LTCTE difference between the core glass layer and clad glass layer (i.e., ΔLTCTE=|LTCTE.sub.clad −LTCTE.sub.core|) such that the desired compressive stress (e.g., greater than or equal to 25 MPa) is achieved as calculated by Equation (1).
[0141] Instead of using Equation (1), the glass compositions disclosed herein may be selected to form a glass laminate article having the desired compressive stress by ensuring that there is a sufficient differential across the entire CTE curve from room temperature to above the glass transition temperature. Evaluating the entire CTE curve takes into consideration both the LTCTE differential and the HTCTE differential between the core glass layer and the clad glass layers.
[0142] The entire curve CTE differential appreciates these contributions and may be represented by the integrated CTE differential according to the following formula:
∫.sub.25° C..sup.T.sup.
where T.sub.11.sup.lower is the lower 10.sup.11 poise temperature of the core glass layer and the clad glass layer. T.sub.11.sup.lower may be calculated using the VFT parameters of the clad glass composition and the core glass composition. In embodiments, the integrated CTE differential may be greater than or equal to 400 ppm to ensure that a desired compressive stress (e.g., greater than or equal to 25 MPa) is achieved. In embodiments, the integrated CTE differential may be greater than or equal to 400 ppm, greater than or equal to 600 ppm, greater than or equal to 800 ppm, or even greater than or equal to 1000 ppm.
[0143] To produce a glass laminate article having a relatively large integrated CTE and, thus, a relative increased CS, a clad glass composition may be paired with a core glass composition such that CTE.sub.clad is less than CTE.sub.core at temperatures lower than T.sub.11.sup.lower. In embodiments, an annealing point of the clad glass layer may be greater than an annealing point of the core glass layer to enable a larger entire CTE curve differential. A relatively greater annealing point of the clad glass layer moves the CTE curve of the clad glass layer to the right, creating a larger CTE curve differential between the core glass layer and the clad glass layer.
[0144] In embodiments, the LTCTE differential is less than the HTCTE differential (i.e., |LTCTE.sub.clad −LTCTE.sub.core| is less than |HTCTE.sub.clad −HTCTE.sub.core|). Accordingly, in embodiments, substantial compressive stresses may be generated due to the HTCTE differential between the core glass composition and the clad glass composition while their LTCTE are similar or matched. In such embodiments, for example, the clad glass composition may comprise greater than or equal to 63 mol % and less than or equal to 70 mol % SiO.sub.2; greater than or equal to 8 mol % and less than or equal to 13 mol % Al.sub.2O.sub.3; greater than or equal to 0 mol % and less than or equal to 12 mol % B.sub.2O.sub.3; greater than or equal to 0 mol % and less than or equal to 14 mol % Na.sub.2O; greater than or equal to 0 mol % and less than or equal to 3 mol % K.sub.2O; greater than or equal to 0.5 mol % and less than or equal to 7 mol % MgO; greater than or equal to 0.5 mol % and less than or equal to 10 mol % CaO; and greater than or equal to 0 mol % and less than or equal to 2 mol % SrO; and the core glass composition may comprise greater than or equal to 63 mol % and less than or equal to 70 mol % SiO.sub.2; greater than or equal to 0.5 mol % and less than or equal to 5 mol % Al.sub.2O.sub.3; greater than or equal to 1 mol % and less than or equal to 20 mol % B.sub.2O.sub.3; greater than or equal to 0 mol % and less than or equal to 8 mol % MgO; greater than or equal to 1 mol % and less than or equal to 12 mol % CaO; greater than or equal to 2 mol % and less than or equal to 15 mol % Na.sub.2O; and greater than or equal to 0 mol % and less than or equal to 6 mol % K.sub.2O.
[0145] The laminate stress a may be predicted by a viscoelastic model using finite element analysis (FEA) simulations as described in G. W. Scherer, Relaxation in Glass and Composites, Published by John Wiley and Sons, Inc. 1986 and O. S. Narayanaswamy, A model of structural relaxation in glass, Journal of the American Ceramic Society, 54 (1971)491-498, (3) U.S. Pat. No. 9,346,699, which are incorporated herein by reference, and can be approximated by the following equation:
where T.sub.max is the temperature when the laminate is formed, wt (T) is a function approximating the stress relaxation effect from the glass, having a unit of 1/Pa. wt(T) approaches a constant wt.sub.0 when T is low enough so that both core and clad glass behave elastically, and approaches infinity when T is high enough so that both core and clad glass behave viscously. Equation (5) may be further simplified to:
where A is Equation (4). T.sub.11.sup.lower is the chosen set temperature, above which the glasses are treated viscously wt(T).fwdarw.∞; below which the glasses are treated elastically wt(T)=wt.sub.0. The larger the integrated area A in Equation (4), the greater the laminate stress.
[0146] In embodiments, a thickness of the clad glass layer (t.sub.clad) may be greater than or equal to 0.2t and a surface compressive stress of the glass laminate article may be greater than or equal to 25 MPa. In embodiments, a thickness of the clad glass layer may be greater than or equal to 0.2t and a surface compressive stress of the glass laminate article may be greater than or equal to 25 MPa, greater than or equal to 50 MPa, or even greater than or equal to 75 MPa. In embodiments, a thickness of the clad glass layer (t.sub.clad) may be greater than or equal to 0.2t and a surface compressive stress of the glass laminate article may be less than or equal to 200 MPa, less than or equal to 150 MPa, or even less than or equal to 100 MPa. In embodiments, a thickness of the clad glass layer (t.sub.clad) may be greater than or equal to 0.2t and a surface compressive stress of the glass laminate article may be greater than or equal to 25 MPa and less than or equal to 200 MPa, greater than or equal to 25 MPa and less than or equal to 150 MPa, greater than or equal to 25 MPa and less than or equal to 100 MPa, greater than or equal to 50 MPa and less than or equal to 200 MPa, greater than or equal to 50 MPa and less than or equal to 150 MPa, greater than or equal to 50 MPa and less than or equal to 100 MPa, greater than or equal to 75 MPa and less than or equal to 200 MPa, greater than or equal to 75 MPa and less than or equal to 150 MPa, or even greater than or equal to 75 MPa and less than or equal to 100 MPa, or any and all sub-ranges formed from any of these endpoints.
[0147] In embodiments, a thickness of the clad glass layer (t.sub.clad) may be greater than or equal to 0.25t and a surface compressive stress of the glass laminate article is greater than or equal to 25 MPa. In embodiments, a thickness of the clad glass layer (t.sub.clad) may be greater than or equal to 0.25t and a surface compressive stress of the glass laminate article may be greater than or equal to 25 MPa, greater than or equal to 50 MPa, or even greater than or equal to 75 MPa. In embodiments, a thickness of the clad glass layer (t.sub.clad) may be greater than or equal to 0.25t and a surface compressive stress of the glass laminate article may be less than or equal to 200 MPa, less than or equal to 150 MPa, or even less than or equal to 100 MPa. In embodiments, a thickness of the clad glass layer (t.sub.clad) may be greater than or equal to 0.25t and a surface compressive stress of the glass laminate article may be greater than or equal to 25 MPa and less than or equal to 200 MPa, greater than or equal to 25 MPa and less than or equal to 150 MPa, greater than or equal to 25 MPa and less than or equal to 100 MPa, greater than or equal to 50 MPa and less than or equal to 200 MPa, greater than or equal to 50 MPa and less than or equal to 150 MPa, greater than or equal to 50 MPa and less than or equal to 100 MPa, greater than or equal to 75 MPa and less than or equal to 200 MPa, greater than or equal to 75 MPa and less than or equal to 150 MPa, or even greater than or equal to 75 MPa and less than or equal to 100 MPa, or any and all sub-ranges formed from any of these endpoints.
[0148] In embodiments, a central tension of the glass laminate article may be greater than or equal to 25 MPa, greater than or equal to 35 MPa, or even greater than or equal to 45 MPa. In embodiments, a central tension of the glass laminate article may be less than or equal to 75 MPa, less than or equal to 65 MPa, or even greater than or equal to 55 MPa. In embodiments, a central tension of the glass laminate article may be greater than or equal to 25 MPa and less than or equal to 75 MPa, greater than or equal to 25 MPa and less than or equal to 65 MPa, greater than or equal 25 MPa and less than or equal to 55 MPa, greater than or equal to 35 MPa and less than or equal to 75 MPa, greater than or equal to 35 MPa and less than or equal to 65 MPa, greater than or equal 35 MPa and less than or equal to 55 MPa, greater than or equal to 45 MPa and less than or equal to 75 MPa, greater than or equal to 45 MPa and less than or equal to 65 MPa, or even greater than or equal 45 MPa and less than or equal to 55 MPa, or any and all sub-ranges formed from any of these endpoints.
[0149] In embodiments, it may be desirable to further strengthen the glass laminate article via ion-exchange chemical strengthening. Therefore, it may be desirable for the clad glass composition to include a relatively high concentration of Na.sub.2O (e.g., greater than or equal to 7 mol %) such that the laminated glass article may be subjected to ion-exchange strengthening. However, increasing the concentration of Na.sub.2O increases the LTCTE.sub.clad, which reduces the LTCTE differential between the core glass layer and the clad glass layers and decreases the compressive stress of the glass laminate articles as calculated by Equation (1). However, evaluating the entire CTE curve as represented by Equation (4) allows for a reduced LTCTE differential resulting from a relatively high concentration of Na.sub.2O (e.g., greater than or equal to 7 mol %) in the clad glass layer to be compensated for by ensuring a relatively greater HTCTE differential. In such embodiments, for example, the clad glass composition may comprise greater than or equal to 63 mol % and less than or equal to 76 mol % SiO.sub.2; greater than or equal to 7 mol % and less than or equal to 16 mol % Al.sub.2O.sub.3; greater than or equal to 1 mol % and less than or equal to 12 mol % B.sub.2O.sub.3; greater than or equal to 7 mol % and less than or equal to 14 mol % Na.sub.2O; greater than or equal to 0 mol % and less than or equal to 3 mol % K.sub.2O; greater than or equal to 0 mol % and less than or equal to 5 mol % Li.sub.2O; greater than or equal to 0 mol % and less than or equal to 7 mol % MgO; greater than or equal to 0 mol % and less than or equal to 3 mol % CaO; and greater than or equal to 0 mol % and less than or equal to 5 mol % P.sub.2O.sub.5; and the core glass composition may comprise greater than or equal to 60 mol % and less than or equal to 73 mol % SiO.sub.2; greater than or equal to 1 mol % and less than or equal to 16.5 mol % Al.sub.2O.sub.3; greater than or equal to 0 mol % and less than or equal to 8 mol % B.sub.2O.sub.3; greater than or equal to 0 mol % and less than or equal to 8 mol % MgO; greater than or equal to 0 mol % and less than or equal to 10 mol % Li.sub.2O; greater than or equal to 9 mol % and less than or equal to 15 mol % Na.sub.2O; greater than or equal to 0 mol % and less than or equal to 5 mol % K.sub.2O; and greater than or equal to 0 mol % and less than or equal to 5 mol % P.sub.2O.sub.5.
[0150] In typical ion-exchange processes, smaller metal ions in the glass compositions are replaced or “exchanged” with larger metal ions of the same valence within the clad glass layer made from the clad glass composition. The replacement of smaller ions with larger ions increases the compressive stress within the clad glass layer of the glass laminate article. In embodiments, the metal ions are monovalent metal ions (e.g., Li.sup.+, Na.sup.+, K+, and the like), and ion-exchange is accomplished by immersing the glass laminate article in a bath comprising at least one molten salt of the larger metal ion that is to replace the smaller metal ion in clad glass layer formed from the clad glass composition. Alternatively, other monovalent ions such as Ag.sup.+, Tl.sup.+, Cu.sup.+, and the like may be exchanged for monovalent ions. The ion-exchange process or processes that are used to strengthen the glass laminate article may include, but are not limited to, immersion in a single bath or multiple baths of like or different compositions with washing and/or annealing steps between immersions.
[0151] Upon exposure to the glass laminate article, the ion-exchange solution (e.g., KNO.sub.3 and/or NaNO.sub.3 molten salt bath) may, according to embodiments, be at a temperature greater than or equal to 350° C. and less than or equal to 500° C., greater than or equal to 360° C. and less than or equal to 450° C., greater than or equal to 370° C. and less than or equal to 440° C., greater than or equal to 360° C. and less than or equal to 420° C., greater than or equal to 370° C. and less than or equal to 400° C., greater than or equal to 375° C. and less than or equal to 475° C., greater than or equal to 400° C. and less than or equal to 500° C., greater than or equal to 410° C. and less than or equal to 490° C., greater than or equal to 420° C. and less than or equal to 480° C., greater than or equal to 430° C. and less than or equal to 470° C., or even greater than or equal to 440° C. and less than or equal to 460° C., or any and all sub-ranges between the foregoing values. In embodiments, the glass laminate article may be exposed to the ion-exchange solution for a duration greater than or equal to 2 hours and less than or equal to 48 hours, greater than or equal to 2 hours and less than or equal to 24 hours, greater than or equal to 2 hours and less than or equal to 12 hours, greater than or equal to 2 hours and less than or equal to 6 hours, greater than or equal to 8 hours and less than or equal to 44 hours, greater than or equal to 12 hours and less than or equal to 40 hours, greater than or equal to 16 hours and less than or equal to 36 hours, greater than or equal to 20 hours and less than or equal to 32 hours, or even greater than or equal to 24 hours and less than or equal to 28 hours, or any and all sub-ranges between the foregoing values.
[0152] In embodiments, the glass laminate article may have a compressive stress after ion-exchange strengthening greater than or equal to 500 MPa, greater than or equal than or equal to 550 MPa, or even greater than or equal to 600 MPa. In embodiments, the glass laminate article may have a compressive stress after ion-exchange strengthening less than or equal to 900 MPa, less than or equal to 800 MPa, or even less than or equal to 700 MPa. In embodiments, the glass laminate article may have a compressive stress after ion-exchange strengthening greater than or equal to 500 MPa and less than or equal to 900 MPa, greater than or equal to 500 MPa and less than or equal to 800 MPa, greater than or equal to 500 MPa and less than or equal to 700 MPa, greater than or equal to 550 MPa and less than or equal to 900 MPa, greater than or equal to 550 MPa and less than or equal to 800 MPa, greater than or equal to 550 MPa and less than or equal to 700 MPa, greater than or equal to 600 MPa and less than or equal to 900 MPa, greater than or equal to 600 MPa and less than or equal to 800 MPa, or even greater than or equal to 600 MPa and less than or equal to 700 MPa, or any and all sub-ranges formed from any of these endpoints.
[0153] In embodiments, a glass laminate article having a thickness greater than or equal to 0.1 mm and less than or equal to 3 mm may be ion-exchanged to achieve a depth of compression greater than or equal to 5 μm and less than or equal to 45 μm, greater than or equal to 5 μm and less than or equal to 40 μm, greater than or equal to 5 μm and less than or equal to 35 μm, greater than or equal to 5 μm and less than or equal to 30 μm, greater than or equal to 10 μm and less than or equal to 45 μm, greater than or equal to 10 μm and less than or equal to 40 μm, greater than or equal to 10 μm and less than or equal to 35 μm, greater than or equal to 10 μm and less than or equal to 30 μm, greater than or equal to 15 μm and less than or equal to 45 μm, greater than or equal to 15 μm and less than or equal to 40 μm, greater than or equal to 15 μm and less than or equal to 35 μm, greater than or equal to 15 μm and less than or equal to 30 μm, greater than or equal to 20 μm and less than or equal to 45 μm, greater than or equal to 20 μm and less than or equal to 40 μm, greater than or equal to 20 μm and less than or equal to 35 μm, or even greater than or equal to 20 μm and less than or equal to 30 μm, or any and all sub-ranges formed from any of these endpoints.
[0154] In embodiments, a glass laminate article may be ion-exchanged to achieve a depth of compression greater than or equal to 5%, greater than or equal to 10%, or even greater than or equal to 15% of a thickness of the glass laminate article. In embodiments, a glass laminate article m may be ion-exchanged to achieve a depth of compression less than or equal to 35%, less than or equal to 30%, or even less than or equal to 25% of a thickness of the glass laminate article. In embodiments, a glass laminate article may be ion-exchanged to achieve a depth of compression greater than or equal to 5% and less than or equal to 35%, greater than or equal to 5% and less than or equal to 30%, greater than or equal to 5% and less than or equal to 25%, greater than or equal to 10% and less than or equal to 35%, greater than or equal to 10% and less than or equal to 30%, greater than or equal to 10% and less than or equal to 25%, greater than or equal to 15% and less than or equal to 35%, greater than or equal to 15% and less than or equal to 30%, or even greater than or equal to 15% and less than or equal to 25%, or any and all sub-ranges formed from any of these endpoints, of a thickness of the glass laminate article.
[0155] In embodiments, the glass laminate articles may have a central tension after ion-exchange strengthening greater than or equal to 40 MPa, greater than or equal to 80 MPa, or even greater than or equal to 120 MPa. In embodiments, the glass laminate articles may have a central tension after ion-exchange strengthening less than or equal to 500 MPa, less than or equal to 400 MPa, less than or equal to 300 MPa, or even less than or equal to 200 MPa. In embodiments, the glass laminate articles may have a central tension after ion-exchange strengthening greater than or equal to 40 MPa and less than or equal to 500 MPa, greater than or equal to 40 MPa and less than or equal to 400 MPa, greater than or equal to 40 MPa and less than or equal to 300 MPa, greater than or equal to 40 MPa and less than or equal to 200 MPa, greater than or equal to 80 MPa and less than or equal to 500 MPa, greater than or equal to 80 MPa and less than or equal to 400 MPa, greater than or equal to 80 MPa and less than or equal to 300 MPa, greater than or equal to 80 MPa and less than or equal to 200 MPa, greater than or equal to 120 MPa and less than or equal to 500 MPa, greater than or equal to 120 MPa and less than or equal to 400 MPa, greater than or equal to 120 MPa and less than or equal to 300 MPa, or even greater than or equal to 120 MPa and less than or equal to 200 MPa, or any and all sub-ranges formed from any of these endpoints.
[0156] The glass laminate articles disclosed herein may be incorporated into another article such as an article with a display (or display articles) (e.g., consumer electronics, including mobile phones, tablets, computers, navigation systems, wearable devices (e.g., watches) and the like), architectural articles, transportation articles (e.g., automotive, trains, aircraft, sea craft, etc.), appliance articles, or any article that requires some transparency, scratch-resistance, abrasion resistance or a combination thereof. An exemplary article incorporating any of the glass laminate articles disclosed herein is shown in
Examples
[0157] In order that various embodiments be more readily understood, reference is made to the following examples, which are intended to illustrate various embodiments of the glass compositions described herein.
[0158] Table 1 shows clad glass compositions (in terms of mol %) and the respective properties of the glass compositions. Clad glass layers are formed having the example clad glass compositions 1-31. Table 2 shows core glass compositions (in terms of mol %) and the respective properties of the glass compositions. Core glass layers are formed having the example core glass compositions 32-39.
TABLE-US-00001 TABLE 1 Example 1 2 3 4 5 6 SiO.sub.2 72.77 70.79 70.61 22.62 72.60 23.52 Al.sub.2O.sub.3 8.66 10.00 9.99 8.98 8.97 8.96 P.sub.2O.sub.5 0 0 0 0 0 0 B.sub.2O.sub.3 8.57 8.57 8.69 8.61 8.43 7.68 B.sub.2O.sub.3 0 0 0 0 0 0 Na.sub.2O 9.87 10.51 10.34 9.61 9.62 9.65 K.sub.2O 0 0 0.23 0 0.24 0 MgO 0 0 0 0 0 0 CaO 0 0 0 0 0 0 SrO 0 0 0 0 0 0 SnO.sub.2 0.10 0.10 0.10 0.10 0.10 0.10 R.sub.2O 9.87 10.51 10.57 9.61 9.86 9.65 RO 0 0 0 0 0 0 (R.sub.2O + RO)/Al.sub.2O.sub.3 1.14 1.05 1.06 1.07 1.10 1.08 LTCTE (ppm/° C.) 5.91 6.32 6.38 5.98 6.07 5.97 Density (g/cm.sup.3) 2.322 2.326 2.325 2.313 2.318 2.318 Strain Pt. (° C.) 536 543 552 540 544 547 Anneal Pt. (° C.) 586 597 606 594 597 601 Softening Pt. (° C.) 846.3 877.3 887.3 879.8 877.0 883.3 SOC (nm/mm/MPa) — — — — — — Young's modulus (GPa) 64.1 62.9 62.9 62.7 63.5 63.7 Shear modulus (GPa) 26.6 26.1 26.0 26.1 26.4 26.5 Refractive index — — — — — — Poisso 's ratio 0.204 0.207 0.209 0.202 0.202 0.199 VFT A −2.816 −4.400 −4.328 −3.946 −3.647 −4.303 VFT B 9764.5 13896.1 13885.3 13096.8 12356.4 14201 VFT T.sub.o −140.9 −323.4 −320.7 −300.0 −278.2 −348.9 200 Poise temperature (° C.) 1767 1750 1774 1796 1799 1801 35 k Poise temperature (° C.) 1186 1230 1244 1243 1230 1256 100 k Poise temperature (° C.) 1108 1155 1168 1164 1151 1178 200 k Poise temperature (° C.) 1062 1109 1121 1116 1103 1130 Liquidus temperature (° C.) <815 <895 <810 <790 <805 <840 Example 7 8 9 10 11 12 SiO.sub.2 72.56 70.86 70.36 70.84 72.47 70.76 Al.sub.2O.sub.3 8.08 8.68 8.68 8.68 8.05 8.66 P.sub.2O.sub.5 0 0 0 0 0 0 B.sub.2O.sub.3 7.60 8.46 8.46 8.45 7.65 8.51 Li.sub.2O 0 0 0 0 0 0 Na.sub.2O 8.57 9.85 10.35 8.85 8.42 8.66 K.sub.2O 0 0 0 0 0.24 0.24 MgO 3.05 2.02 2.02 3.04 3.04 3.03 CaO 0 0 0 0 0 0 SrO 0 0 0 0 0 0 SnO.sub.2 0.10 0.10 0.10 0.10 0.10 0.10 R.sub.2O 8.57 9.85 10.35 8.85 8.66 8.90 RO 3.05 2.02 2.02 3.04 3.04 3.03 (R.sub.2O + RO)/Al.sub.2O.sub.3 1.44 1.37 1.43 1.37 1.45 1.38 LTCTE (ppm/° C.) 5.59 6.06 — 5.68 5.7 5.77 Density (g/cm.sup.3) 2.327 2.336 2.348 2.327 2.329 2.327 Strain Pt. (° C.) 552.0 534.9 — 553.0 555.0 552.0 Anneal Pt. (° C.) 603.0 584.8 — 603.0 604.0 603.0 Softening Pt. (° C.) 871.1 839.5 — 861.9 868.0 871.1 SOC (nm/mm/MPa) 3.570 3.562 — 3.621 3.562 3.57 Young's modulus (GPa) 65.7 65.4 — 65.0 65.8 65.7 Shear modulus (GPa) 27.4 27.1 — 26.9 27.3 27.4 Refractive index 1.4885 1.4903 — 1.4893 1.4885 1.4885 Poisson's ratio 0.201 0.207 — 0.208 0.204 0.201 VFT A −3.847 −3.190 −2.596 −3.725 −3.343 −3.847 VFT B 11918.3 10021.5 8381.6 11220.3 10411.8 11918.3 VFT T.sub.o −199.6 −117.2 −21.0 −146.6 −102.0 −199.6 200 Poise temperature (° C.) 1739 1708 1691 1715 1743 1739 35 k Poise temperature (° C.) 1221 1179 1153 1210 1218 1221 100 k Poise temperature (° C.) 1148 1106 1082 1139 1146 1148 200 k Poise temperature (° C.) 1103 1063 1040 1097 1103 1103 Liquidus temperature (° C.) 1075 960 — 1065 1080 1075 Example 13 14 15 16 17 18 SiO.sub.2 69.72 69.74 65.17 69.87 69.37 69.00 Al.sub.2O.sub.3 8.66 8.63 14.03 8.71 8.68 8.65 P.sub.2O.sub.5 0 2.90 1.95 0 0 0 B.sub.2O.sub.3 8.50 8.75 2.95 9.44 9.53 9.61 Li.sub.2O 0 0 0 0 0 0 Na.sub.2O 7.91 9.85 9.68 9.15 8.78 8.38 K.sub.2O 0 0 0 0 0 0 MgO 5.06 0 6.06 2.24 2.53 2.75 CaO 0 0 0 0 1.00 2.00 SrO 0 0 0 0 0 0 SnO.sub.2 0.10 0.10 0.10 0.10 0.11 0.11 R.sub.2O 7.91 9.85 9.68 9.15 8.78 8.38 RO 5.06 0.00 6.06 2.24 3.53 4.75 (R.sub.2O + RO)/Al.sub.2O.sub.3 1.50 1.14 1.12 1.31 1.42 1.52 LTCTE (ppm/° C.) 5.37 6.08 5.68 5.87 5.8 5.59 Density (g/cm.sup.3) 2.334 2.310 2.400 2.334 2.338 2.343 Strain Pt. (° C.) 563.0 508.2 632.1 533.4 551.1 546.7 Anneal Pt. (° C.) 614.0 559.5 685.1 582.2 601.4 594.5 Softening Pt. (° C.) 872.4 — 947.2 832.9 838.4 842.8 SOC (nm/mm/MPa) 3.574 3.659 3.202 3.591 3.593 3.535 Young's modulus (GPa) 66.4 60.7 71.7 68.1 65.4 66.3 Shear modulus (GPa) 27.4 25.2 29.6 28.1 27.0 27.3 Refractive index 1.4912 1.4823 1.4985 1.4910 1.4920 1.4933 Poisson's ratio 0.209 0.202 0.210 0.210 0.210 0.214 VFT A −3.387 −3.231 −3.186 −3.385 −3.352 −3.090 VFT B 9763.8 10539.9 9834.0 10182.0 9938.3 9189.2 VFT T.sub.o −33.5 −160.0 −93.0 −101.7 −T3.7 −30.0 200 Poise temperature (° C.) 1683 1745 1664 1699 1689 1684 35 k Poise temperature (° C.) 1198 1196 1240 1179 1182 1185 100 k Poise temperature (° C.) 1131 1121 1181 1108 1113 1116 200 k Poise temperature (° C.) 1090 1075 1146 1066 1071 1075 Liquidus temperature (° C.) 1120 1140 1100 975 990 995 Example 19 20 21 22 23 24 SiO.sub.2 68.78 67.68 66.76 65.82 66.03 67.44 Al.sub.2O.sub.3 8.65 9.65 10.66 10.93 10.53 10.20 P.sub.2O.sub.5 0 0 0 0 0 0 B.sub.2O.sub.3 9.51 9.66 9.62 9.65 9.42 8.93 Li.sub.2O 0.00 0.00 0.00 3.89 3.66 2.71 Na.sub.2O 7.93 7.87 7.85 8.94 9.43 9.53 K.sub.2O 0 0 0 0 0 0 MgO 3.01 3.02 3.01 0.69 0.85 1.09 CaO 2.00 2.00 2.00 0 0 0 SrO 0 0 0 0 0 0 SnO.sub.2 0.10 0.10 0.10 0.07 0.07 0.08 R.sub.2O 7.93 RO 5.01 5.02 5.01 0.69 0.85 1.09 (R.sub.2O + RO)/Al.sub.2O.sub.3 1.50 1.34 1.21 1.24 1.32 1.31 LTCTE (ppm/° C.) 5.52 5.43 5.28 — — — Density (g/cm.sup.3) 2.347 2.349 2.350 — — — Strain Pt. (° C.) 549.5 553.7 564.2 — — — Anneal Pt. (° C.) 598.8 603.5 615.5 — — — Softening Pt. (° C.) 852.4 858.2 870.7 — — — SOC (nm/mm/MPa) 3.522 3.550 3.518 — — — Young's modulus (GPa) 66.8 66.7 66.9 — — — Shear modulus (GPa) 27.6 27.4 27.4 — — — Refractive index 1.4946 1.4955 1.4963 — — — Poisson's ratio 0.212 0.215 0.220 — — — VFT A −3.449 −3.384 −3.231 — — — VFT B 9607.4 9179.2 10539.9 — — — VFT T.sub.o −26.6 31.9 −160.0 — — — 200 Poise temperature (° C.) 1675 1644 1647 — — — 35 k Poise temperature (° C.) 1174 1175 1190 — — — 100 k Poise temperature (° C.) 1106 1111 1127 — — — 200 k Poise temperature (° C.) 1065 1071 1089 — — — Liquidus temperature (° C.) 995 970 930 — — — Example 25 26 27 28 29 30 SiO.sub.2 68.65 69.24 70.02 70.02 66.53 68.00 Al.sub.2O.sub.3 9.78 9.29 8.73 8.71 10.97 11.00 P.sub.2O.sub.5 0 0 0 0 0 0 B.sub.2O.sub.3 8.50 8.45 8.43 8.55 9.74 10.00 Li.sub.2O 2.13 1.62 1.27 0.00 3.86 0 Na.sub.2O 9.49 9.75 9.74 9.82 8.30 0 K.sub.2O 0 0 0 0 0 0 MgO 1.37 1.57 1.74 1.94 0.50 2.00 CaO 0 0 0 0 0 9.00 SrO 0 0 0 0 0 1.00 SnO.sub.2 0.07 0.07 0.06 0.06 0.10 0 R.sub.2O 11.62 11.37 11.01 9.82 12.16 0.00 RO 1.37 1.57 1.74 1.94 0.50 11.00 (R.sub.2O + RO)/Al.sub.2O.sub.3 1.33 1.39 1.46 1.35 1.15 1.00 LTCTE (ppm/° C.) — — — — 6.36 — Density (g/cm.sup.3) — — — — 2.334 — Strain Pt. (° C.) — — — — 493.0 — Anneal Pt. (° C.) — — — — 535.0 — Softening Pt. (° C.) — — — — 758.0 — SOC (nm/mm/MPa) — — — — 3.416 — Young's modulus (GPa) — — — — 69.6 — Shear modulus (GPa) — — — — 28.7 — Refractive index — — — — 1.4979 — Poisson's ratio — — — — 0.214 — VFT A — — — — — — VFT B — — — — — — VFT T.sub.o — — — — — — 200 Poise temperature (° C.) — — — — — — 35 k Poise temperature (° C.) — — — — — — 100 k Poise temperature (° C.) — — — — — — 200 k Poise temperature (° C.) — — — — — — Liquidus temperature (° C.) — — — — — — Example 31 SiO.sub.2 66.37 Al.sub.2O.sub.3 10.29 P.sub.2O.sub.5 0 B.sub.2O.sub.3 0.60 Li.sub.2O 0 Na.sub.2O 13.80 K.sub.2O 2.40 MgO 5.74 CaO 0.59 SrO 0 SnO.sub.2 0.21 R.sub.2O 16.20 RO 6.33 (R.sub.2O + RO)/Al.sub.2O.sub.3 2.19 LTCTE (ppm/° C.) — Density (g/cm.sup.3) — Strain Pt. (° C.) — Anneal Pt. (° C.) — Softening Pt. ( °C.) — SOC (nm/mm/MPa) — Young's modulus (GPa) — Shear modulus (GPa) — Refractive index — Poisson 's ratio — VFT A — VFT B — VFT T.sub.o — 200 Poise temperature (° C.) — 35 k Poise temperature (° C.) — 100 k Poise temperature (° C.) — 200 k Poise temperature (° C.) —
TABLE-US-00002 TABLE 2 Example 32 33 34 35 36 37 SiO.sub.2 62.22 65.43 67.11 68.48 65.43 72.43 Al.sub.2O.sub.3 0.96 0.96 0.99 0.97 3.70 9.03 P.sub.2O.sub.5 0 0 0 0 0 0 B.sub.2O.sub.3 3.41 5.34 4.31 5.06 16.86 0 Li.sub.2O 0 0 0 0 0 0 Na.sub.2O 12.40 12.32 6.39 12.11 6.47 12.55 K.sub.2O 0.43 0.43 5.30 0.40 0 3.89 MgO 6.56 6.54 6.69 4.03 0 2.00 CaO 9.01 8.98 9.21 8.95 3.06 0 SnO.sub.2 0 0 0.01 0.01 0.05 0.05 Fe.sub.2O.sub.3 0 0 0 0 0 0 R.sub.2O 12.83 12.75 11.69 12.51 6.47 16.44 LTCTE (ppm/° C.) 8.47 8.42 8.47 8.20 6.22 8.85 HTCTE (ppm/° C.) 39.20 44.60 43.50 43.00 39.36 — Density (g/cm.sup.3) 2.528 2.535 2.509 2.519 2.432 — Strain Pt. (° C.) 521 522 532 526 492 — Anneal Pt. (° C.) 557 557 569 563 527 — Softening Pt. (° C.) 713 705 733 716 673 — SOC (nm/mm/MPa) 2.698 2.696 2.728 2.769 3.105 — Young's modulus (GPa) 77.20 79.20 76.00 78.30 78.53 — Shear modulus (GPa) 31.90 32.20 31.00 32.10 32.41 — Refractive index 1.5267 1.5292 1.5247 1.5260 1.5116 — Poisson's ratio 0.212 0.229 0.225 0.219 0.212 — VFT A 1.103 1.086 1.601 1.234 0.779 — VFT B 3054.6 2868.8 3916.3 3207.9 2734.7 — VFT T.sub.o 367.7 379.2 313.1 352.2 347.9 — Liquidus viscosity (kP) 7.677 4.886 20.712 29.243 — — Example 38 39 SiO.sub.2 60.32 66.37 Al.sub.2O.sub.3 16.36 13.94 P.sub.2O.sub.5 3.77 0 B.sub.2O.sub.3 0 5.12 Li.sub.2O 7.34 0 Na.sub.2O 11.52 13.73 K.sub.2O 0.04 0.01 MgO 0 2.42 CaO 0 0 SnO.sub.2 0.05 0.08 Fe.sub.2O.sub.3 0 0.01 R.sub.2O 11.56 13.82 LTCTE (ppm/° C.) 86.50 — HTCTE (ppm/° C.) — — Density (g/cm.sup.3) 2.42 — Strain Pt. (° C.) 561.00 — Anneal Pt. (° C.) 611.00 — Softening Pt. (° C.) 854.00 — SOC (nm/mm/MPa) 2.96 — Young's modulus (GPa) 74.60 — Shear modulus (GPa) 30.80 — Refractive index 1.5036 — Poisson's ratio 0.2110 — VFT A — — VFT B — — VFT T.sub.o — — Liquidus viscosity (kP) — —
[0159] Referring now to Table 3, clad glass layers formed from the example glass compositions listed in the Table 3 having a thickness of 1 mm were immersed in a molten salt bath comprises of 100 wt % KNO.sub.3 at 410° C. for the listed time period. The compressive stress and depth of compression values listed in Table 3 were measured by FSM.
TABLE-US-00003 TABLE 3 Example 1 2 3 4 5 6 1 hr. CS (MPa) — — — — — — DOC (μm) — — — — — — 4 hrs. CS (MPa) 658 722 706 647 652 670 DOC (μm) 18.8 21.7 22.0 19.7 21.0 21.0 9 hrs. CS (MPa) 630 697 673 627 618 643 DOC (μm) 28.1 30.6 32.9 30.6 31.1 31.1 16 hrs. CS (MPa) 610 670 652 605 604 625 DOC (μm) 35.9 40.6 42.8 40.1 40.3 41.0 Example 8 10 12 14 15 16 1 hr. CS (MPa) 660 604 600 494 734 — DOC (μm) 8.8 9.1 9.2 12.0 7.4 — 4 hrs. CS (MPa) 644 592 593 457 763 615 DOC (μm) 17.5 18.2 18.5 23.7 14.7 16.0 9 hrs. CS (MPa) 618 574 570 423 774 593 DOC (μm) 25.6 26.4 26.8 34.7 22.1 22.9 16 hrs. CS (MPa) — — — — — 569 DOC (μm) — — — — — 30.5 Example 17 18 19 20 21 1 hr. CS (MPa) — — — — — DOC (μm) — — — — — 4 hrs. CS (MPa) 595 586 550 561 586 DOC (μm) 14.9 13.6 12.2 11.2 9.6 9 hrs. CS (MPa) 575 565 550 564 583 DOC (μm) 21.6 19.7 18.8 16.3 14.2 16 hrs. CS (MPa) 556 554 534 554 577 DOC (μm) 28.6 26.5 24.1 21.5 19.0
[0160] Referring now to Table 4, comparative glass laminate articles CA and CB and example glass laminate article A were formed using the example clad glass compositions and example core glass compositions listed in the Table 4. The integrated CTE differentials listed in Table 4 were calculated using Equation (4), including the listed T.sub.11.sup.lower(i.e., the lower 10.sup.11 poise temperature of the core glass layer and the clad glass layer).
TABLE-US-00004 TABLE 4 Glass laminate article CA CB A Example clad glass composition 29 29 8 Example core glass composition 38 37 37 T.sub.11.sup.lower (° C.) 600 600 637 (clad) (clad) (core) Integrated CTE differential (ppm) 668 601 2195
[0161] Referring now to
[0162] Referring now to
[0163] Referring now to
[0164] Referring now to Table 5, the compressive stress and central tension of comparative glass laminate articles CA and CB and example glass laminate article A were estimated using Equation (1) and the viscoelastic model, and were measured using SCALP. The following parameters were used for the example glass laminate articles: thickness ratio k=1.5; thickness of the glass laminate article=0.8 mm; and clad glass layer thickness=160 (μm). The viscoelastic model calculated stresses in the core of comparative glass laminate articles CA and CB example glass laminate article A are shown in
TABLE-US-00005 TABLE 5 Glass laminate article CA CB A CS (MPa) CT (MPa) CS (MPa) CT (MPa) CS (MPa) CT (MPa) Equation (1) 65.0 43.4 68.5 45.6 77.4 51.6 Viscoelastic model 40.7 27.1 46.3 30.9 107.3 71.5 SCALP measured 48.0 32.0 47.7 31.8 86.4 57.6
[0165] Referring now to
[0166] Referring back to
[0167] Referring now to Table 6, comparative glass laminate articles CC and CD and example glass laminate article B were formed using the example clad glass composition and example core glass composition listed in Table 6. Note that comparative glass laminate structure CC includes example clad glass composition 31 in Table 1 as the core glass composition.
TABLE-US-00006 TABLE 6 Glass laminate article CC CD B Example clad glass composition 30 30 31 Example core glass composition 31 39 33 LTCTE.sub.clad — — 9.79 LTCTE.sub.core — — 9.60 HTCTE.sub.clad — — 23.60 HTCTE.sub.core — — 27.99 CS (MPa) — — 53.4
[0168] Referring now to
[0169] It will be apparent to those skilled in the art that various modifications and variations may be made to the embodiments described herein without departing from the spirit and scope of the claimed subject matter. Thus, it is intended that the specification cover the modifications and variations of the various embodiments described herein provided such modification and variations come within the scope of the appended claims and their equivalents.
Additional Information
[0170] The above disclosure, as filed Jun. 11, 2021 in U.S. Application No. 63/209,489, is directed to glass compositions and strengthened glass-to-glass laminate articles of clad and core glasses. Table 4 describes glass laminate pairs CA, CB, and A, which correspond to glass composition 29 of Table 1 for the clad and 38 of Table 2 for the core of pair CA, 29 of Table 1 for the clad and 37 of Table 2 for the core of pair CB, and composition 8 for the clad and 37 for the core of pair A. As disclosed, Applicants manufactured glass-to-glass laminate articles, strengthened by contraction differences upon cooling corresponding to different coefficients of thermal expansion (CTEs), that contain significant alkali metal oxides, as demonstrated by pair A, by leveraging differences in both high-temperature coefficients of thermal expansion (HTCTE) and low-temperature coefficients of thermal expansion (LTCTE).
[0171] As disclosed, a core glass with significant alkali metal oxides (e.g., R.sub.2O >6 mol %, >10 mol %, >12 mol %, >14 mol %, >15 mol %, where R.sub.2O is an alkali metal oxide; Na.sub.2O >8 mol %, >10 mol %, >12 mol %), such as that of pair A, may have both LTCTE and HTCTE greater than the clad glass of a glass-to-glass laminate, where even if the difference in LTCTE between core and clad is not substantial or sufficient to create a large compressive stress in the clad, overall or net CTE mismatch, including difference in HTCTE between core and clad, may result in significant compression of the clad upon cooling. Such pairs allow for the practical use of expansion or contraction mismatch strengthening of glass-to-glass laminate articles as well as ion-exchange strengthening. Put another way, pair A has substantial compression in the clad upon cooling largely because HTCTE differences in pair A positively contribute to clad compression as well as LTCTE differences in clad and core glasses, and pair A may then be further strengthened by ion-exchange as disclosed.
[0172] In above disclosure, pairs CA and CB were used as examples that emphasize benefits of pair A in terms of net compressive stress in the clad upon cooling. As shown in
[0173] Applicants found that, upon cooling after fusion forming, stresses imparted on the corresponding glass-to-glass laminate (see, e.g.,
[0174] Applicants continued to experiment with glass-to-glass laminates, including pair CB, and made an incredible discovery—when glass-on-glass laminates of pair CB compositions are heat-treated at (relatively) low temperatures, the laminates strengthen significantly! As such, while pair CB was used above to accentuate benefits of pair A, pair CB is also useful (and so is pair CA), as will now be explained.
[0175] Referring to
[0176] Still referring to
[0177] Applicants also found that if temperature was about 410° C. to about 450° C., the amount of time to achieve significant increase in average CT decreased, where average CT more than doubled in 6 hours at both 430° C. and 450° C., and average CT increased by about 2.5 times in 24 hours at about 410° C. Further, for each amount of time there were diminishing returns for temperatures increased greater than a threshold, where for pair CB for 470° C. and above, resulting average CT was almost the same or less than initial CT value if held for 24 hours or more, and at 490° C. for 6 hours.
[0178]
[0179] With that said, Applicants found similar strengthening if the pair CB glass was submerged liquid, such as in 100% KNO.sub.3 salt bath at 410° C., as shown in
[0180] Referring now to
[0181] Accordingly to an aspect, strengthening glass-to-glass laminates by heat treating as disclosed herein may be stopped by lowering temperatures to room temperature (e.g., 25° C., less than 100° C.) with the laminates strengthened so that compression in the clad is just under the frangibility limit of the particular laminate (e.g., <100 MPa below the respective frangibility limit, <50 MPa, <30 MPa), so that the laminate is as strong as possible without having frangible fracture response. While frangibility limits for different geometries and compositions of glass-to-glass laminates may vary, testing for the frangibility limit by incrementally increasing heat-treatment is a simple process and can be readily accomplished by those of skill in the art as demonstrated by the present disclosure (see also
[0182] In context of pair CB samples in
[0183] Referring now to
[0184] “Frangibility” generally refers to violent or energetic fragmentation of a strengthened glass article absent external restraints, such as coatings, adhesive layers, and may be characterized by breaking of a glass article (e.g., a plate or sheet) into multiple small pieces with average cross-sectional dimension <1 mm and violent ejection of at least one fragment from its original location. However, for the present technology, core glass may be frangible, but held in place by clad glass, so frangibility is simply characterized by violent or energetic fragmentation throughout the respective glass portion (e.g., core, or clad if in tension), into multiple small pieces with average cross-sectional dimension <1 mm. While coatings, adhesive layers, and the like may be used in conjunction with the strengthened glass articles described herein, such external restraints are not used in determining the frangibility or frangible behavior of the glass articles. By contrast, “non-frangible” is fracture behavior absent frangibility.
[0185] Without being bound to any theory, Applicant believe that those stresses of a glass-to-glass laminate corresponding to HTCTE differences, locked or frozen into glass upon initial cooling, may be relaxed first or to a greater degree than other stresses, such as those from LTCTE differences, when relaxing stresses in the laminate. In terms of pair CB,
[0186] As an analogy, after initial cooling of the laminate, HTCTE differences of the core and clad glasses act to pin a “spring” corresponding to stresses from LTCTE differences of the pair. Heating the laminate then relaxes away the HTCTE influence and gradually unpins the spring. In terms of
[0187] According to an aspect, glass-to-glass laminates, with glasses having crisscrossing CTE curves, may be relaxed so that high temperature CTE contribution to stress of the laminate is reduced. For example, HTCTE may be reduced so that the average central tension is increased by at least 20 MPa, such as at least 50 MPa, such as at least 60 MPa, such as at least 100 MPa (e.g., pair CB heated at 370° C. for 96 hours). According to an aspect, laminates with pairs of glasses having crisscrossing CTE curves may be relaxed to a degree corresponding to less than a maximum potential strengthening, such as just below a frangibility limit of the laminate.
[0188] As demonstrated by pair CB above, initial stresses within glass-to-glass laminates having crisscrossing core and clad glass CTE curves can be adjusted by relaxing influence of HTCTE differences, and in a controlled manner to achieve a desired stress state of the laminate. For example, as indicated above, pair CA also has crisscrossing CTE curves, where HTCTE negates influence of LTCTE differences in the pair as shown in
[0189] More specifically, in 6 hours at about 490° C., the central tension of laminates of pair CA compositions jumped from about 46 MPa to about 63 MPa. The nearly 20 MPa increase on core stress was substantial. The trend was not as straightforward as with pair CB heat-treatments, probably because viscosity curves/relaxation times are different for the core and clad glasses.
[0190] In contrast to pairs CA and CB, clad and core glasses of pair A lack crisscrossing of their CTE curves at temperatures less than line 906 (
[0191] Applicants also switched compositions of the clad and core of pair CB with one another, where composition 29 of Table 1 was used for the core and 37 of Table 2 for the clad. The clad has tension and the core has compression upon initial cooling. With heat treatment, Applicants contemplate increased tension in the clad for reasons as disclosed above. Beyond compositions of the present disclosure, for example, Applicants contemplate pairing CORNING® GORILLA® GLASS 4 (GG4) as core with CORNING® GORILLA® GLASS 3 (GG3) as clad may achieve the behavior demonstrated with pairs CB and CA because GG4 has higher LTCTE that GG3, but GG3 has higher HTCTE than GG4, and their CTE curves crisscross.
[0192] A benefit of pairing glasses with crisscrossing CTE curves is that a corresponding laminate may be initially cooled at a lower net stress state. In that state, the laminate may be handled and machined, such as cut or singulated, polished, bent, etc. Then after modification, the laminate can be strengthened, “releasing the pin” on the LTCTE mismatch by relaxing influence of the HTCTE mismatch. Handling and machining of a glass-to-glass laminate that may otherwise be difficult if the laminate is under high stress may first be performed at the lower net stress state.
[0193]
[0194] Or, the core and clad glasses 2312, 2314 a glass-to-glass laminate 2310 may not necessarily be arranged in layers, but instead one surrounding the other for example. According to such an aspect,
[0195] According to a first aspect A1′ as shown in
[0196] According to an aspect A2′, at least some of the heating of the of aspect A1′ occurs with the laminate outside of a salt bath, such as in a furnace with gaseous environment, such as >90% argon by volume or another inert gas. According to an aspect A3′, at least some of the heating of the aspect A1′ occurs in a gaseous environment comprising greater than 70% nitrogen and greater than 15% oxygen by volume, such as air.
[0197] According to an aspect A4′, the increasing of aspect A1′, A2′, or A3′ is by at least 50 MPa. According to an aspect A5′, the increasing of aspect A1′ is by at least 100 MPa. According to an aspect A6′, method of aspect A4′ or A5′, further includes additionally increasing 2418 (
[0198] According to an aspect A7′, the threshold time of any one of aspects A1′ to A6′ is continuous as opposed to broken up into segments that add to longer than an hour in aggregate.
[0199] According to an aspect B1′ as shown in
[0200] According to an aspect B2′, the relaxing of aspect B1′ includes heating up 2514 the laminate.
[0201] According to an aspect C1′, a method of manufacturing 2610 a strengthened glass article includes forming 2612 a glass-to-glass laminate by fusing clad and core glasses to one another, where the clad glass has a greater high-temperature coefficient of thermal expansion (HTCTE) than the core glass but a lesser low-temperature coefficient of thermal expansion (LTCTE) than the core glass. The method further includes cooling 2614 the glass-to-glass laminate to impart stresses through contraction mismatch between the clad and core glasses, where stresses in the glass-to-glass laminate from differences in the HTCTE of the clad and core glasses at least partially offset stresses in the glass-to-glass laminate from differences in the LTCTE of the clad and core glasses. After the cooling 2614, the method includes modifying 2616 geometry of the laminate (e.g., cutting, polishing, sigulating, bending scoring). After the modifying 2616, the method includes relaxing 2618 at least some of the stresses in the glass-to-glass laminate from differences in the HTCTE of the clad and core glasses such that the stresses in the glass-to-glass laminate from differences in the LTCTE of the clad and core glasses change (e.g., increases tensile or compressive) stresses in the clad glass by at least a threshold (e.g., 5 MPa, 10 MPa, 20 MPa, 25 MPa, 30 MPa, 50 MPa, 80 MPa, 100 MPa, 150 MPa, 200 MPa) from before the relaxing.
[0202] According to an aspect C2′, the modifying of the method of aspect C1′ increases compressive stresses in the clad glass by at least the threshold.
[0203] According to an aspect C3′, the method of aspect C1′ or C2′ further includes exchanging 2620 ions of the clad glass with larger ions to further increase compressive stress of the clad glass beyond the relaxing.
[0204] According to an aspect C4′, at least a portion of the relaxing of the method of aspect C1′ occurs after the exchanging ions of aspect C3′.
[0205] According to an aspect C5′, at least a portion of the relaxing of the method of any one of aspects C1′ to C4′ occurs in a gaseous environment.
[0206] According to an aspect C6′, the modifying 2616 of the method of any one of aspects C1′ to C5′ comprises cutting 2622 the laminate.
[0207] According to an aspect C7′, the modifying 2616 of the method of aspect C1′ comprises polishing 2624 edges of the laminate in addition to the cutting of aspect C6′.
[0208] According to an aspect C8′, the relaxing 2618 of the method of any one of aspects C1′ to C7′ comprises having 2626 the laminate above a lower threshold temperature (e.g., 50° C., 80° C., 100° C., 150° C., 200° C., 250° C., 300° C., and/or any temperature enumerated in
[0209] According to an aspect C9′, the relaxing 2618 of the method of aspect C1′ further comprises heating 2628 up the laminate from below the lower threshold temperature of aspect C8′ to above another threshold temperature, which may be the lower threshold temperature, prior to the having of aspect C8′.
[0210] According to an aspect C10′, the aggregate time of the having 2626 the laminate above the lower threshold temperature and below an upper threshold temperature of aspect C8′ is greater than a longer threshold time than specified for aspect C8′ (e.g., 24 hours, 48 hours, 72 hours, 96 hours, 200 hours, two weeks, and/or any time enumerated in
[0211] According to an aspect D1′, a glass-to-glass laminate article (see, e.g., articles 100, 2210, 2310
[0212] According to an aspect D2′, the core and clad glasses of aspect D1′ are configured such that heating the laminate to the specific temperature for the specific amount of time in air increases compressive stress of the clad glass by more than the amount of compressive stress of aspect D1′.
[0213] According to an aspect E1′, a glass-to-glass laminate article (see, e.g., articles 100, 2210, 2310
[0214] According to an aspect F1′, a glass-to-glass laminate article (see, e.g., articles 100, 2210, 2310
[0215] According to an aspect F2′, wherein the core and clad glasses of aspect F1′ are configured such that heating the laminate to the specific temperature for the specific amount of time in air changes stress of the clad glass by greater than specified with respect to aspect F1′.
[0216] According to an aspect G1′, a glass-to-glass laminate article (see, e.g., articles 100, 2210, 2310
[0217] According to an aspect G2′, the core and clad glasses of aspect G1′ are configured such that heating the laminate to the specific temperature for the specific amount of time in air increases the compressive stress by a percentage greater than that specified in aspect G1.
[0218] According to an aspect H1′, a glass-to-glass laminate article (see, e.g., articles 100, 2210, 2310
[0219] According to an aspect I1′, a method of manufacturing a strengthened glass article includes increasing by at least a threshold percentage (e.g., 5%, 10%, 20%, 40%, 50%, 100%, 150%, 200%, 300%) compressive stress of a clad glass in a laminate comprising a core glass fused to the clad glass by heating up the laminate from below a lower threshold temperature (e.g., 50° C., 80° C., 100° C., 150° C., 200° C., 250° C., 300° C.) to above the lower threshold temperature but below an upper threshold temperature (e.g., 300° C., 400° C., 450° C., 500° C., 550° C., 600° C., 700° C., 800° C.) and having the laminate above the lower threshold temperature but below the upper threshold temperature for longer than a threshold time (e.g., 30 minutes, 1 hour, 2 hours, 4 hours, 6 hours, 8 hours, 12 hours, 18 hours, 24 hours, 48 hours, 72 hours, 96 hours, 200 hours, two weeks), wherein the at least the threshold percentage increase is relative to a prior compressive stress in the clad, present before the heating up, such as after cooling below the lower threshold temperature following forming and/or after annealing. Curves of coefficient of thermal expansion (y-axis) as a function of temperature (x-axis) of the core and clad glasses (i.e. CTE curves of the same compositions as the core and clad glasses) intersect one another above a lower bound (e.g., 50° C., 80° C., 100° C., 150° C., 200° C., 250° C., 300° C.) but below an upper bound (e.g., 600° C., 700° C., 800° C., 900° C., 1000° C., 1250° C., the lower 10.sup.11 poise temperature of the core or the clad glasses). According to an aspect 12′, the method of aspect I1′ may include additionally increasing compressive stress of the clad glass by ion-exchange chemical tempering.
[0220] Construction and arrangements of the compositions, structures, assemblies, and articles, as shown in the various exemplary embodiments, are illustrative only. Although only a few embodiments have been described in detail in this disclosure, many modifications are possible (e.g., variations in sizes, dimensions, structures, shapes, and proportions of the various elements, values of parameters, mounting arrangements, use of materials, colors, orientations) without materially departing from the novel teachings and advantages of the subject matter described herein. The order or sequence of any process, logical algorithm, or method steps may be varied or re-sequenced according to exemplary embodiments. Other substitutions, modifications, changes and omissions may also be made in the design, operating conditions and arrangement of the various exemplary embodiments without departing from the scope of the present inventive technology.