METHODS AND SYSTEMS RELATING TO ENHANCING MATERIAL TOUGHNESS
20170197873 · 2017-07-13
Assignee
Inventors
- François BARTHELAT (Montreal, CA)
- Seyed Mohammad Mirkhalaf Valashani (Montreal, CA)
- Ahmad Khayer Dastjerdi (Montreal, CA)
Cpc classification
B32B3/14
PERFORMING OPERATIONS; TRANSPORTING
B32B38/0012
PERFORMING OPERATIONS; TRANSPORTING
B32B37/12
PERFORMING OPERATIONS; TRANSPORTING
International classification
C03C15/00
CHEMISTRY; METALLURGY
B32B37/12
PERFORMING OPERATIONS; TRANSPORTING
C03C23/00
CHEMISTRY; METALLURGY
B32B3/14
PERFORMING OPERATIONS; TRANSPORTING
Abstract
Natural materials often boast unusual combinations of stiffness, strength and toughness currently unmatched by today's engineering materials. Beneficially, according to the embodiments of the invention, these unusual combinations can be introduced into ceramics, glasses, and crystal materials, for example by the introduction of patterns of weaker interfaces with simple or intricate architectures. Two-dimensional surface modifications and three-dimensional arrays of effects within these materials allow for the deformation of these materials for increased flexure, impact resistance, etc. Further, the addition of interlocking substrate blocks in isolation or with additional flexible materials provide for improved energy dissipation and toughening. Such modified materials, based on carefully architectured interfaces, provide a new pathway to toughening hard and brittle materials.
Claims
1. A method comprising: etching a plurality of features into at least one of the surface and the volume of a first substrate to tessellate a predetermined portion of the substrate, wherein each feature is the boundary of a geometric shape formed by the introduction of weakening interfaces into the material and any defect arising within a feature of the plurality of features is isolated from the remainder of the first substrate by the feature of the plurality of features.
2. The method according to claim 1, wherein the first substrate is glass and forms a predetermined portion of a touch screen.
3. The method according to claim 1, wherein each feature of the plurality of features is at least one of etched into a surface of the first substrate and a series of laser induced defects within the first substrate.
4. The method according to claim 1, wherein each feature of the plurality of features is formed by at least one of: providing a three-dimensional pattern comprising a plurality of defects formed within the body of the first substrate; and providing at least a two-dimensional pattern comprising surface modifications upon at least a surface of the first substrate.
5. A substrate comprising: a first material in sheet form; first and second layers of a second material, each of the first and second layers disposed on opposite surfaces of the first material, wherein at least one surface of the first material disposed adjacent one of the first and second layers of the second material has a plurality of features formed over a predetermined portion of the at least one surface of the first material, wherein each feature is formed by the introduction of weakening interface into the first material and any defect arising within the first material under mechanical loading is controlled through at least one of crack deflection, crack bridging, and micro-cracking.
6. The substrate according to claim 5, wherein the first material is glass; and the second material is a polymer bonded to the first material.
7. The method according to claim 5, wherein each feature of the plurality of features is at least one of etched into a surface of the first substrate and a series of laser induced defects within the first substrate; and each feature of the plurality of features is disposed to have an angle relative to a projected direction of a defect forming below a predetermined upper angle.
8. The method according to claim 5, wherein each feature of the plurality of features is formed by at least one of: providing a three-dimensional pattern comprising a plurality of defects formed within the body of the first substrate; and providing at least a two-dimensional pattern comprising surface modifications upon at least a surface of the first substrate.
9. A method comprising: engineering improvements in a predetermined property of a material by the introduction of a plurality of weak interfaces into the material such that the resulting material consists of a plurality of three dimensional interlocking blocks.
10. The method according to claim 9, further comprising the addition of at least one of an elasto-plastic material and an elastic material to a predetermined portion of the material having the introduced weak interfaces.
11. The method according to claim 9, wherein the the predetermined property is impact resistance; and the plurality of three dimensional interlocking blocks slide relative to one another under impact to dissipate the impact.
12. The method according to claim 9, wherein upon local failure of the material under impact a predetermined portion of the plurality of three dimensional interlocking blocks can be replaced thereby repairing the material.
13. A structure comprising: a plurality of sheets of first material, each first sheet having a plurality of features formed over a predetermined portion of a surface of the first material adjacent a sheet of a second material, wherein each feature is formed by the introduction of weakening interface into the first material; a plurality of sheets of the second material, each sheet of the second material disposed between a pair of sheets of the first material.
14. The structure according to claim 13, the first material is glass; and the second material is a polymer.
15. The method according to claim 13, wherein each feature of the plurality of features is formed by at least one of: providing a three-dimensional pattern comprising a plurality of defects formed within the body of the first substrate; and providing at least a two-dimensional pattern comprising surface modifications upon at least a surface of the first substrate.
16. The method according to claim 13, wherein the plurality of features tessellate the surface of the first material and each feature is the boundary of a geometric shape formed by the introduction of the weakened interfaces into the material.
17. The method according to claim 13, wherein the plurality of features are blocks of predetermined geometry such that a ratio of a first dimension of the block relative to the thickness of the first material at least one of fits within a predetermined range and exceeds a predetermined threshold value.
18. A method comprising: forming a plurality of features within the surface of a first material; and ultrasonically agitating the first material at a predetermined power for a predetermined time in order to propagate at least one of cracks and micro-cracks within the volume of the first material in order to form a weak interface associated with each feature of the plurality of features.
19. The method according to claim 18, wherein the first material is opaque and each feature of the plurality of features is formed by providing at least a two-dimensional pattern comprising surface modifications upon the surface of the first material.
20. The method according to claim 18, wherein the first material is transparent and each feature of the plurality of features is formed by at least one of: providing a three-dimensional pattern comprising a plurality of defects formed within the body of the first substrate where each defect of the plurality of defects was induced through localized optical absorption; and providing at least a two-dimensional pattern comprising surface modifications upon at least a surface of the first material.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0020] Embodiments of the present invention will now be described, by way of examples only, with reference to the attached Figures, wherein:
[0021]
[0022]
[0023]
[0024]
[0025]
[0026]
[0027]
[0028]
[0029]
[0030]
[0031]
[0032]
[0033]
[0034]
[0035]
[0036]
[0037]
[0038]
[0039]
[0040]
[0041]
[0042]
[0043]
[0044]
[0045]
[0046]
[0047]
[0048]
[0049]
[0050]
[0051]
[0052]
[0053]
DETAILED DESCRIPTION
[0054] The present invention is directed to materials and more particularly to methods and systems for increasing their deformability, their toughness and their resistance to impact.
[0055] The ensuing description provides exemplary embodiment(s) only, and is not intended to limit the scope, applicability or configuration of the disclosure. Rather, the ensuing description of the exemplary embodiment(s) will provide those skilled in the art with an enabling description for implementing an exemplary embodiment. It being understood that various changes may be made in the function and arrangement of elements without departing from the spirit and scope as set forth in the appended claims.
[0056] 1. Principles of Biomimetic Materials
[0057] Bio-inspired concepts within the prior art may open new pathways to enhancing the toughness of engineering ceramics and glasses, two groups of materials with very attractive properties, but whose range of applications is still limited by their brittleness. Further, a number of synthetic composite materials inspired from biological materials have been reported, based upon a wide range of fabrication techniques, including ice templating, layer-by-layer deposition/assembly, self-assembly, rapid prototyping and manual assembly. These new materials demonstrate that bio-inspired strategies can be harnessed to achieve both strength and toughness, two properties which are typically exclusive as shown in
[0058] Despite the impressive properties displayed by some of these new bio-inspired materials, the level of toughness amplification observed in natural materials is yet to be duplicated in synthetic composites 130. Such composites 130 tend to occupy a position of low toughness and low Young's modulus and hence do not sit within the region 100 of desirable engineered materials with both high strength and high toughness. Referring to
[0059] As such these high-performance natural materials such as nacre, teeth, bone and spider silk boast outstanding combinations of stiffness, strength and toughness which are currently not possible to achieve in manmade engineering materials. For example, dragline silk from spiders surpasses the strength and toughness of the most sophisticated engineering steels, while collagenous tissues such as bone, tendons or fish scales display powerful toughening mechanisms over multiple length scales. Nacre from mollusk shells is 3,000 times tougher than the brittle mineral it is made from and it is one of the toughest materials amongst other mollusks shell materials and other highly mineralized stiff biological materials such as tooth enamel. An examination of the structure and mechanics of these materials reveals a universal structural pattern consisting of stiff and hard inclusions embedded in a softer but more deformable matrix. The inclusions are elongated and are parallel to each other, and aligned with the direction of loading within their biological environment. Such structures are particularly well-suited to uniaxial or biaxial tensile loads. In one-dimensional fibers and ropes such as spider silk or tendons, uniaxial tension is the only loading configuration. However, more bulky materials, such as nacre and bone, undergo multi-axial loading modes but, since these materials are quasi-brittle, tensile stresses are always the most dangerous stresses. Increasing tensile strength is therefore critical to the performance of these materials.
[0060] The fundamental mechanism of tensile deformation is the gliding or sliding of the inclusions on one another. In this mechanism the inclusions remain linear-elastic, but the interface dissipates a large amount of energy through viscous deformation. The resulting stress-strain curves display relatively large deformation before failure and, as a result, the material can absorb a tremendous amount of mechanical energy (area under the stress-strain curve). Energy absorption is a critical property for materials like bone, nacre and spider silk, which must absorb energy from impacts without fracturing. Interestingly, the staggered structure has recently been shown to be the most efficient in generating optimum combinations of stiffness, strength and energy absorption by the inventors.
[0061] Accordingly, the inventors within embodiments of the invention exploit such hierarchal structures to modify existing materials to implement biomimetic materials that offer characteristics not present within their founding base material.
[0062] 2. Experimental Results of Biomimetic Material Strain Rate Hardening
[0063] 3.1 Engraving Weak Interfaces within Bulk Glass
[0064] Lasers have been widely used in the past to alter the structure of materials and to generate useful structures such as microfluidic devices or waveguides at small scale and with high accuracy and low surface roughness. Within embodiments of the invention described within this specification, a 3D laser engraving technique was employed, although it would be evident that other techniques to form the structures within the materials may be employed without departing from the scope of the invention. 3D laser engraving as depicted in
[0065] When the system is appropriately tuned, the energy of the unfocused laser beam does not induce any structural changes in glass. However, the heat absorbed at the focal point is sufficient to generate radial microcracks from the hoop stresses associated with thermal expansion as depicted in
[0066] The inventors have demonstrated that the defect spacing employed in creating arrays of defects has a direct effect on the toughness of the interface. For example, with an average defect size of 25 m then when these defects were very close to each other, spacings of 80 m and lower, they coalesce on engraving without the application of any external load, effectively cutting the sample in half and giving an apparent toughness of zero. The apparent toughness being defined as the fracture toughness of the interface, K.sub.IC.sup.(i), normalized by the fracture toughness of the bulk material, K.sub.IC.sup.(b). Increasing the spacing between the defects increased the toughness of the interface, up to a spacing of approximately 130 m. Defects more than 130 m apart did not interact on application of an external load, and in these cases the apparent toughness was close to the toughness of the intact bulk material, e.g. glass within which no interface was created. Accordingly, the inventors were able to demonstrate that 3D laser engraving can provide a fast and simple approach in generating weak interfaces of tunable toughness within glass.
[0067] Accordingly, arrays of such defects can be generated within the bulk of a material, e.g. glass, effectively creating weaker interfaces. Once the weaker interfaces are engraved, the application of an external load may grow the microcracks until they coalesce, effectively channeling the propagation of long cracks. Furthermore, the toughness of the interface can be tuned by adjusting the size or spacing of the defects.
[0068] 3. Biomimetic Segmented Armour
[0069] As a result of the evolutionary arms race between predators and prey, many animals have developed protective systems with outstanding properties. The structure and mechanics of these natural armours have attracted an increasing amount of attention from research communities, in search of inspiration for new protective systems and materials. Nature has developed different strategies for armoured protection against predators. While some protective systems are entirely rigid (e.g. mollusk shells) or with only a few degrees of freedom (e.g. chitons), a large number of animals use segmented flexible armours in which the skin is covered or embedded with hard plates of finite size (typically at least an order of magnitude smaller than the size of the animal). In these natural amour systems, the armor plates are typically 1000 to 100,000 times stiffer than the underlying soft skin and tissues.
[0070] 3.1. Biomimetic Segmented Armour
[0071] Accordingly, the key attributes selected by the inventors for their biomimetic system consisted of hard protective plates of well-defined geometry, of finite size and arranged in a periodic fashion over a soft substrate several orders of magnitude less stiff than the plates. These attributes generate interesting capabilities such as resistance to puncture, flexural compliance, damage tolerance and multi-hit capabilities. The fabrication methodology of the inventors enables the rapid and easy implementation of these attributes with a high level of geometrical control and repeatability. Accordingly, an initial model was based upon 150 m thick hexagonal borosilicate glass plates as armour segments. The advantages of glass are its hardness and stiffness. Glass is also transparent, a property the inventors exploited here to generate hexagonal patterns by laser engraving but also allowing optical transparent armour to be considered. As depicted in
[0072] Accordingly, following the concept of stamp holes, the inventors adjusted the strength of the engraved lines by tuning the size and spacing of the defects. The resulting engraved lines were strong enough to prevent their fracture during handling, but weak enough for the hexagonal plates to detach during the puncture test. Hexagonal plates of different sizes were engraved, ranging from an edge length (R) between 0.25 mmR6.00 mm. Once engraved, the plate was placed on a block of soft silicone rubber substrate which simulated soft tissues, as depicted in
[0073] 4.2. Biomimetic Segmented Armour Puncture Tests
[0074] The puncture resistance of the glass layer was assessed with a sharp steel needle with a tip radius of 25 m that was attached to the crosshead of a miniature loading stage equipped with a linear variable differential transformer and a 110N load cell. The sample was positioned so that the steel needle would contact the plate in the central region of a hexagon before the steel needle was driven into the engraved glass at a rate of 0.005 mm.Math.s.sup.1 until the needle punctured the glass layer, a sudden event characterized by a sharp drop in force. As a reference, continuous glass (non-engraved) was also tested for puncture resistance under similar loading conditions. The silicon rubber used as a substrate had negligible resistance to sharp puncture.
[0075] Referring to
[0076] The response to puncture of the segmented glass plate (hexagon size R=2 mm) was quite different from the continuous plate as evident in
[0077] The reason for this increase in puncture resistance is the result of the interplay between the soft substrate and reduced span. In addition, the work to puncture, measured as the area under the force-displacement puncture curve, was seven times greater for the case of the segmented glass plate. The work required to fracture the glass plate is relatively small, so the increase of work is generated by the deformation of the softer substrate. For the continuous glass plate, the puncture force is distributed over a wide area at the plate-substrate interface, resulting in relatively small stresses and deformation in the substrate. In contrast, once the hexagon detaches from the segmented glass the puncture force is transmitted over a smaller area, with higher stresses transmitted to the substrate, resulting in larger deformations. In addition, the hexagon plate fractures at a higher force compared to continuous glass, further delaying fracture and leading to even more deformations in the substrate. For the case shown in
[0078] 4. Touch Screen Damage Control and Containment
[0079] Within Sections 2 and 3 a methodology of forming weakened interfaces within a material, e.g. glass, was presented through the exploitation of laser damage induced defects and its use in the formation of segmented armour. However, within a wide range of commercial, industrial, and consumer applications a material, such as a glass for example, is employed due to its overall combination of properties. Amongst these is the exploitation of glass for the front surface of display devices such as those based upon light emitting diodes (LEDs), organic LEDs (OLEDs), active matrix organic LEDs (AMOLEDs), liquid crystal displays (LCD), etc. The combinations of low cost float glass manufacturing, transparency, and hardness under normal operation allow for low cost displays and its compatibility with transparent electrode coatings such as indium tin oxide (ITO) make it suitable for touch and non-touch sensitive displays at dimensions up to 98 in single devices.
[0080] However, in a large proportion of the applications whilst the dimensions may be typically 100 mm-150 mm (4-6) or 300 mm-450 mm (12-18) the displays are employed on portable devices such as smartphones, portable multimedia players, eReaders, tablet computers, and laptop computers. As a result it is common for users to drop these devices resulting in high impact shocks to the front surfaces, edges, etc. resulting in shattered glass. Accordingly, it is common to see users with shattered displays upon their portable electronic devices which, for other reasons associated with service contracts, etc. on the devices, they maintain using without replacing. Accordingly, it would be beneficial to provide such applications with glass that controlled and contained damage sustained through such high impact shocks.
[0081] Referring to
[0082] Accordingly, within embodiments of the invention the inventors formed within the upper surface of the BS glass 410 a pattern of weakened interfaces 480 by laser defect formation at a power of 300 mW with a defect spacing of 5 m within detached assemblies 470 which had been laser cut from commercially-sourced AMOLED displays as depicted in
[0083] Accordingly, control (non-engraved,
[0084] Now referring to
[0085] Now referring to
[0086] The engraving depth can be controlled with high precision so that only the glass layer is engraved while the underlying PET substrate and other pressure sensitive components remain intact. Likewise, the engraving can be performed within the bulk of the glass layer, so that the engraved lines do not intersect with the surface of the screen. In this case the surface of the screen remains intact.
[0087] It would be evident to one skilled in the art that the weakened interfaces may be of other polygonal shapes providing a pattern across the material or may be formed from two or more polygonal shapes and that the dimensions of the segments defined by the weakened interfaces may be adjusted according to different factors including, for example, surface material, aesthetics, functionality of structure, etc. Such patterns may include those resulting in tessellation of the surface. In other embodiments of the invention the visual appearance of the engraved surface can be adjusted through filling the engraved lines with an index-matching polymer or other material such that they are visually less distinct.
[0088] 5. Cross-Lamellar Substrate Structures
[0089] Within the touchscreen embodiment of the invention described supra with respect
[0090] Accordingly, the inventors proceeded to implement the cross-lamellar structure 950 depicted in
[0091] A typical manufacturing sequence for cross-lamellar structure 950 comprising the following sequence of process steps: [0092] 1) Laser engrave the engraving pattern upon sample 920 (in trials a protective frame was also etched in this step); [0093] 2) Laminate the sample 920 with polymer 910; [0094] 3) Add glass plates for distributing clamping pressure, such that now the material order is glass-polymer 910-sample 920-polymer 910-glass; [0095] 4) Apply clamping; [0096] 5) Vacuum back in oven at 105 C. for 3 hours; [0097] 6) Remove clamps and glass plates; [0098] 7) Laser cut the protection frame such that the engraved region is at the edge of the test piece and laser cut mounting holes and initial slot.
[0099] Four different sample groups were generated together with reference samples employing normal glass without laser defect-etch processing. These are summarized in Table 1 below. A sample for the reference cross-lamellar structure is depicted in first image 1010 in
TABLE-US-00001 TABLE 1 Cross-Lamellar Sample Parameters Sample Polymer (PTFE) Angle of Etched Thickness Thickness Etched Line Spacing Group (mm) (mm) Lines (mm) O 0.15 0.05 NA N/A A 0.15 0.05 45 1.0 B 0.15 0.05 45 0.5 C 0.15 0.05 30 1.0 D 0.15 0.05 15 1.0
[0100] The test sample groups were then evaluated for their work of fracture resulting in the results plotted in graph 1100 in
[0101] Now referring to
[0102] 6. Interlocking Block Engineered Substrates
[0103] Within the preceding Sections 4 and 5 the re-engineering of a material through surface micromachining has been presented with respect to improving the tensile performance and/or fracture toughness of a material, e.g. glass. However, in other instances the desired characteristic is resistance to puncture, as with armour, such as described supra in respect of Section 3. Accordingly, the inventors have exploited their rapid low cost manufacturing methodologies to the formation of so-called Abeille interlocking block patterns wherein arrayed geometric blocks are self-locking to provide a physically coherent structure wherein no elements are physically attached to one another. Such an Abeille interlocking block pattern is depicted in
[0104] Accordingly, as depicted in first image 1300 the structure comprises a pattern of blocks 1310 and 1320 with angled interfaces which go through the thickness of the structure such that the interfaces define interlocking blocks in the shape of truncated tetrahedra. The underlying concept being that these blocks slide relative to one another upon impact thereby dissipating the impact rather than locally absorbing it and failing. The sample presented in
[0105] Referring to
[0106] Now referring to
[0107] Referring to third and fourth images 1530 and 1540 a plate according to an embodiment of the invention is depicted before and after testing to failure. At low drop heights the ball rebounds but as the drop height increases the rebound greatly decreases as the impact energy is absorbed by the material: The material relies on toughness and energy absorption to resist impact. Initial samples failed at impact energies 67% higher than the prior art plain glass plate, i.e. approximately 0.55 J. At failure only a few blocks fail near the impact site whilst the remainder of the plate is intact. Potentially, the broken blocks may even be replaced in other instances. This can also be seen from
[0108] As opposed to traditional impact resistant designs for glass, e.g. tempered glass, laminated glass, safety glass, etc., which are based on high strength materials but which are not tough, i.e. they store the energy of the impact and the impactor rebounds, the new engraved materials according to embodiments of the invention absorbs the energy of the impact and rely on toughness to resist fracture. The impact resistance can be further improved by adjusting the interlocking angle between the blocks, which can be done with the aid of finite element computer simulations, and/or by infiltrating the engraved interfaces with a transparent polymer such as polyurethane or an ionomer resin, for example.
[0109] 7. Multi-Layered Lamellar Glasses
[0110] As noted supra in respect of Section 5 a lamellar structure or lamellar microstructure is composed of alternating layers, generally of different materials, which may be in the form of lamellae. Referring to
TABLE-US-00002 TABLE 2 Lamellar Layer and Glass Block Parameters Intermediate Glass Polymer Block Block Thickness Thickness Width Length Overlap Group (mm) (mm) (d) (mm) (w) (mm) (%) A N/A N/A N/A N/A N/A B 0.21 0.05 0.50 2.37 50 C 0.21 0.05 0.75 2.37 50 D 0.21 0.05 1.00 2.37 50
[0111] Now referring to
[0112] Now referring to
[0113]
[0114]
[0115]
[0116]
[0117] Accordingly, designs may trade failure load bearing with failed structure geometry. As such whilst Groups B and C as depicted in
[0118] Accordingly, the embodiments of the invention described with respect to
[0119] 8. Weak Interface Engineered Alumina
[0120] Within the preceding analysis in respect of
[0123] Now referring to
[0124]
[0125] Now referring to
[0126] 9. Weakened Interface Fabrication on Opaque Materials
[0127] Within the descriptions supra engraved structures were formed by laser writing defects at low separation. However, writing such structures, particularly in three dimensions (3D), can be time consuming. Further, for non-transparent materials the formation of 3D weakened interfaces becomes impractical unless the material is transparent at wavelengths outside the visible wavelength which can induce damage. Accordingly, the inventors have established a technique for forming weakened interfaces within opaque materials but which can also be applied to transparent materials to reduce processing times.
[0128] The inventors have demonstrated above that the laser engraving methodology can be used to toughen opaque brittle materials. For example, high density aluminum oxide (alumina) is a whitish engineering ceramic with many attractive properties (high stiffness, high hardness, resistance to high temperatures). However alumina, like other engineering ceramics, suffers from brittleness, which restricts the range of its applications. Using laser engraving the manner in which alumina deforms and fractures can be changed in the same manner as demonstrated with glass as depicted in
[0129] Now referring to
[0130] Whilst the experimental demonstrations of embodiments of the invention exploiting the principles established by the inventors for biomimetic structures have focused on millimeter- and sub-millimeter-sized features to demonstrate the key mechanisms, the fabrication methods and principles can also be scaled down to the micrometer and nanometer length scales. For example, 3D laser engraving may exploit femtosecond lasers. The size reduction of the structures enables higher overall strength, following the scaling principles observed in nature. Further, as discussed supra, more complex 3D structures may be implemented either mimicking natural structures or non-natural structures.
[0131] 3D laser engraving, whilst particularly attractive for transparent materials, may not be possible for other materials due to the absorption/transparency windows of these materials and the availability of fast, typically nanosecond, to ultrafast lasers, picosecond to femtosecond. In other instances, defects may be introduced within materials during their initial manufacturing such as through the introduction of defect generating sites within depositions, micro-porous regions, laminating defective materials with defect-free materials, etc. Through adjustment of defect size, defect pattern, defect operation, etc., a material may be architectured using biomimetic concepts according to embodiments of the invention to obtain desirable combinations of strength and toughness. In other embodiments of the invention, defects may be introduced within the material asymmetrically, e.g. from one side of the material, or symmetrically, e.g. with alternating defects projected from alternate sides of the material or a defect formed by introducing structures from either side of the material at the same location. Alternate manufacturing processes may include, but are not limited to, thermal processing, molding, stamping, etching, depositing, machining, and drilling.
[0132] The foregoing disclosure of the exemplary embodiments of the present invention has been presented for the purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise forms disclosed. Many variations and modifications of the embodiments described herein will be apparent to one of ordinary skill in the art in light of the above disclosure. The scope of the invention is to be defined only by the claims appended hereto, and by their equivalents.
[0133] Further, in describing representative embodiments of the present invention, the specification may have presented the method and/or process of the present invention as a particular sequence of steps. However, to the extent that the method or process does not rely on the particular order of steps set forth herein, the method or process should not be limited to the particular sequence of steps described. As one of ordinary skill in the art would appreciate, other sequences of steps may be possible. Therefore, the particular order of the steps set forth in the specification should not be construed as limitations on the claims. In addition, the claims directed to the method and/or process of the present invention should not be limited to the performance of their steps in the order written, and one skilled in the art can readily appreciate that the sequences may be varied and still remain within the spirit and the scope of the present invention.