Mating electrodes for resistance spot welding of aluminum workpieces to steel workpieces
10766095 ยท 2020-09-08
Assignee
Inventors
- Hui-Ping Wang (Troy, MI, US)
- Blair E. Carlson (Ann Arbor, MI, US)
- David R. Sigler (Shelby Township, MI, US)
- Michael J. Karagoulis (Okemos, MI, US)
Cpc classification
B23K11/115
PERFORMING OPERATIONS; TRANSPORTING
B23K2103/20
PERFORMING OPERATIONS; TRANSPORTING
B23K2101/34
PERFORMING OPERATIONS; TRANSPORTING
International classification
B23K11/16
PERFORMING OPERATIONS; TRANSPORTING
B23K11/30
PERFORMING OPERATIONS; TRANSPORTING
Abstract
A spot weld may be formed between an aluminum workpiece and an adjacent overlapping steel workpiece with the use of opposed spot welding electrodes that have mating weld faces designed for engagement with the outer surfaces of the workpiece stack-up assembly. The electrode that engages the stack-up assembly proximate the aluminum workpiece includes a central ascending convex surface and the electrode that engages the stack-up assembly proximate the steel workpiece has an annular surface. The mating weld faces of the first and second spot welding electrodes distribute the passing electrical current along a radially outwardly expanding flow path to provide a more uniform temperature distribution over the intended spot weld interface and may also produce a deformed bonding interface within the formed weld joint. Each of these events can beneficially affect the strength of the weld joint.
Claims
1. A method comprising: providing a workpiece stack-up assembly that comprises a steel workpiece and adjacent aluminum workpiece that overlaps with the steel workpiece to establish a faying interface therebetween, the workpiece stack-up assembly having a first outer surface proximate the aluminum workpiece and an opposed second outer surface proximate the steel workpiece; pressing a first spot welding electrode against the first outer surface of the workpiece stack-up assembly, the first spot welding electrode comprising a weld face that includes a central ascending convex surface that rises above an annular surface that surrounds the central ascending convex surface, wherein, at least initially, the central ascending convex surface makes contact with the first outer surface of the workpiece stack-up assembly and the surrounding annular surface of the weld face of the first welding electrode does not; pressing a second spot welding electrode against the second outer surface of the workpiece stack-up assembly, the second spot welding electrode comprising a weld face that includes a central descending concave surface that drops below an annular surface that surrounds the descending concave surface, wherein, at least initially, the annular surface of the weld face of the second welding electrode makes contact with the second outer surface of the workpiece stack-up assembly and the descending concave surface does not; passing an electrical current between the weld faces of the first and second spot welding electrodes across the faying interface of the steel and aluminum workpieces to cause melting of the aluminum workpiece and the formation of a molten weld pool within the aluminum workpiece that wets an adjacent surface of the steel workpiece, the electrical current being distributed along a radially outwardly expanding flow path that extends from the ascending convex surface of the weld face of the first spot welding electrode to the annular surface of the weld face of the second spot welding electrode such that a density of the electrical current is higher in the aluminum workpiece at an interface with the central ascending convex surface of the weld face of the first spot welding electrode than in the steel workpiece at an interface with the annular surface of the weld face of the second spot welding electrode; and, thereafter, terminating passage of the electrical current between the weld faces of the first and second spot welding electrodes so that the molten weld pool solidifies into a weld joint that bonds the steel and aluminum workpieces together, and wherein the weld joint includes a bonding interface with the adjacent surface of the steel workpiece that is deformed toward the central descending concave surface of the weld face of the second spot welding electrode.
2. The method set forth in claim 1, wherein an outer workpiece surface of the aluminum workpiece provides the first outer surface of the workpiece stack-up assembly and an outer workpiece surface of the steel workpiece provides the second outer surface of the workpiece stack-up assembly, and wherein the first spot welding electrode is pressed against the outer workpiece surface of the aluminum workpiece and the second spot welding electrode is pressed against the outer workpiece surface of the steel workpiece.
3. The method set forth in claim 1, wherein the aluminum workpiece comprises an aluminum alloy substrate having a surface oxide layer thereon.
4. The method set forth in claim 1, wherein the central ascending convex surface of the weld face of the first welding electrode is a sectional portion of a sphere having a radius of curvature between 50 mm and 5 mm.
5. The method set forth in claim 1, wherein the central descending concave surface of the weld face of the second welding electrode is an intruding depression of a sectional portion of a sphere having a radius of curvature between 50 mm and 5 mm.
6. The method set forth in claim 1, wherein a constant gap equal to an overall thickness of the workpiece stack-up assembly is maintained between the central ascending convex surface and the central descending concave surface during passage of the electrical current between the first and second spot welding electrodes.
7. The method set forth in claim 1, wherein the annular surface of the weld face of the first welding electrode comes into contact with the first outer surface of the workpiece stack-up assembly during passage of the electrical current between the weld faces of the first and second spot welding electrodes, thereby causing the radially outwardly expanding flow path of the electrical current to cease to exist.
8. A method comprising: pressing a central ascending convex surface of a weld face of a first spot welding electrode against a first outer surface of a workpiece stack-up assembly that includes a steel workpiece and an adjacent aluminum workpiece that overlaps with the steel workpiece, the first outer surface of the workpiece stack-up assembly being proximate the aluminum workpiece; pressing an annular surface of a weld face of a second spot welding electrode against a second outer surface of the workpiece stack-up assembly that is opposed to the first outer surface, the annular surface of the weld face of the second spot welding electrode surrounding a central descending concave surface that extends below the annular surface of the weld face of the second spot welding electrode and is complimentary in shape to the central ascending convex surface of the weld face of the first spot welding electrode, the second outer surface of the workpiece stack-up assembly being proximate the steel workpiece, and wherein the weld face of the first spot welding electrode and the weld face of the second spot welding electrode are aligned with and centered on a common axis; forming a resistance spot weld that bonds together the steel and aluminum workpieces, wherein forming the resistance spot weld comprises passing an electrical current between the central ascending convex surface of the weld face of the first spot welding electrode and the annular surface of the weld face of the second spot welding electrode so that the electrical current passed between the weld face of the first spot welding electrode and the weld face of the second spot welding electrode is distributed along a radially outwardly expanding flow path that extends from the first spot welding electrode to the second spot welding electrode such that a density of the electrical current is higher in the aluminum workpiece at an interface with the central ascending convex surface of the weld face of the first spot welding electrode than in the steel workpiece at an interface with the annular surface of the weld face of the second spot welding electrode.
9. The method set forth in claim 8, wherein the spot weld is comprised of a weld joint contained entirely within the aluminum workpiece that includes a bonding interface with an adjacent surface of the steel workpiece that is deformed toward the second spot welding electrode.
10. The method set forth in claim 8, wherein the weld face of the first spot welding electrode further includes an annular surface that surrounds the central ascending convex surface.
11. The method set forth in claim 10, wherein the central ascending convex surface of the weld face of the first welding electrode is a sectional portion of a sphere having a radius of curvature between 50 mm and 5 mm.
12. The method set forth in claim 8, wherein the central descending concave surface of the weld face of the second welding electrode is an intruding depression of a sectional portion of a sphere having a radius of curvature between 50 mm and 5 mm.
13. The method set forth in claim 8, wherein an outer workpiece surface of the aluminum workpiece provides the first outer surface of the workpiece stack-up assembly and an outer workpiece surface of the steel workpiece provides the second outer surface of the workpiece stack-up assembly, and wherein the first spot welding electrode is pressed against the outer workpiece surface of the aluminum workpiece and the second spot welding electrode is pressed against the outer workpiece surface of the steel workpiece.
14. The method set forth in claim 8, wherein the weld face of the first spot welding electrode comprises a annular surface that surrounds the central ascending convex surface such that the central ascending convex surface rises above the annular surface of the weld face of the first spot welding electrode, and wherein the annular surface of the weld face of the second spot welding electrode is flat and oriented perpendicular to a common axis upon which the weld face of the first spot welding electrode and the weld face of the second spot welding electrode are aligned.
15. The method set forth in claim 14, wherein the annular surface of the weld face of the first welding electrode comes into contact with the first outer surface during passage of the electrical current between the weld faces of the first and second spot welding electrodes, thereby causing the radially outwardly expanding flow path of the electrical current to cease to exist.
16. The method set forth in claim 8, wherein a constant gap equal to an overall thickness of the workpiece stack-up assembly is maintained between the central ascending convex surface and the central descending concave surface during passage of the electrical current between the first and second spot welding electrodes.
17. A method comprising: providing a workpiece stack-up assembly that comprises a steel workpiece an adjacent aluminum workpiece that overlaps with the steel workpiece to establish a faying interface therebetween, the workpiece stack-up assembly having a first outer surface proximate the aluminum workpiece and an opposed second outer surface proximate the steel workpiece; pressing a first spot welding electrode against the first outer surface of the workpiece stack-up assembly, the first spot welding electrode comprising a weld face that includes a central ascending convex surface that rises above an annular surface that surrounds the central ascending convex surface, wherein, at least initially, the central ascending convex surface makes contact with the first outer surface of the workpiece stack-up assembly and the surrounding annular surface of the weld face of the first welding electrode does not; pressing a second spot welding electrode against the second outer surface of the workpiece stack-up assembly, the second spot welding electrode comprising a weld face that includes a central descending concave surface that drops below an annular surface that surrounds the descending concave surface, the central descending concave surface of the weld face of the second spot welding electrode being complimentary in shape to the central ascending convex surface of the weld face of the first spot welding electrode, and wherein, at least initially, the annular surface of the weld face of the second welding electrode makes contact with the second outer surface of the workpiece stack-up assembly and the descending concave surface does not; passing an electrical current between the weld faces of the first and second spot welding electrodes across the faying interface of the steel and aluminum workpieces to form a molten weld pool within the aluminum workpiece that wets an adjacent surface of the steel workpiece, the electrical current initially being distributed along a radially outwardly expanding flow path that extends from the first spot welding electrode to the second spot welding electrode such that a density of the electrical current is higher in the aluminum workpiece at an interface with the central ascending convex surface of the weld face of the first spot welding electrode than in the steel workpiece at an interface with the annular surface of the weld face of the second spot welding electrode, the annular surface of the weld face of the first spot welding electrode eventually coming into contact with the first outer surface of the workpiece stack-up assembly during passage of the electrical current between the weld faces of the first and second spot welding electrodes to thereby cause the radially outwardly expanding flow path of the electrical current to cease to exist; and terminating passage of the electrical current between the weld faces of the first and second spot welding electrodes so that the molten weld pool solidifies into a weld joint that bonds the steel and aluminum workpieces together, and wherein the weld joint includes a bonding interface with the adjacent surface of the steel workpiece that is deformed toward the central descending concave surface of the weld face of the second spot welding electrode.
18. The method set forth in claim 17, wherein the central ascending convex surface of the weld face of the first welding electrode is a sectional portion of a sphere having a radius of curvature between 50 mm and 5 mm, and wherein the central descending concave surface of the weld face of the second welding electrode is an intruding depression of a sectional portion of a sphere having a radius of curvature between 50 mm and 5 mm.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
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(3)
(4)
DETAILED DESCRIPTION
(5) The present disclosure pertains to the design of opposing spot welding electrodes for use in forming resistance spot welds between an aluminum workpiece and a steel workpiece that are located adjacent to one another in a workpiece stack-up assembly. The spot welding electrodes used to form spot welds between an aluminum workpiece and a steel workpiece include mating weld faces. Specifically, one electrode has a weld face with a convex central portion for engagement with an outer surface of the stack-up assembly proximate the aluminum workpiece and the other, opposing electrode has a weld face with a complementarily shaped and sized concave central portion for engagement with the opposing outer surface of the stack-up assembly proximate the steel workpiece. The combination of the spot welding electrodes with their mating weld faces distributes the electrical current passing between the facing weld faces along a radially outwardly expanding flow path that extends from the electrode proximate the aluminum workpiece to the electrode in proximate the steel workpiece. The spot welds formed by the aforementioned spot welding electrodes are characterized by stronger, more peel- and cross-tension resistant weld joints that include deformed non-planar (out of surface plane) bonding interfaces (e.g., curved or angular) with their adjacent steel workpiece faying surfaces and thinner intermetallic layer at the spot weld location depending on the implemented mating geometries of the opposed weld faces.
(6) The mating weld faces of the opposed cooperating spot welding electrodes described herein have been modified specifically to accommodate the practice of resistance spot welding overlapping and adjacent steel and aluminum workpieces despite the confluence of complicating considerations that accompany the spot welding of dissimilar metal materials. As discussed above, the formation of good quality resistance spot welds on a consistent basis between an aluminum workpiece and a steel workpiece is not a simple task that can be resolved merely by adopting legacy spot welding techniques developed in the past for similarly-composed (e.g., steel-to-steel or aluminum-to-aluminum) workpieces. To be sure, the spot welding of an aluminum workpiece and a steel workpiece invokes a multitude of issues that must be dealt with including, for instance, the diverse compositions of aluminum and steel, the markedly different physical properties of aluminum and steel including their melting points and thermal and electrical conductivities, and the presence of a mechanically tough and electrically insulating surface oxide layer on the aluminum workpiece, or else the strength and other mechanical properties of the obtained weld joint that constitutes the spot weld may suffer.
(7) Referring now to
(8) The steel workpiece 10 includes a steel substrate from any of a wide variety of strengths and grades that is either coated or uncoated. The steel substrate may be hot-rolled or cold-rolled and may be composed of steel such as mild steel, interstitial-free steel, bake-hardenable steel, high-strength low-alloy (HSLA) steel, dual-phase (DP) steel, complex-phase (CP) steel, martensitic (MART) steel, transformation induced plasticity (TRIP) steel, twining induced plasticity (TWIP) steel, and boron steel such as when the steel workpiece 10 includes press-hardened steel (PHS). If coated, the steel substrate preferably includes a surface layer of zinc (galvanized), a zinc-iron alloy (galvanneal), a zinc-nickel alloy, nickel, aluminum, an aluminum-magnesium alloy, an aluminum-zinc alloy, or an aluminum-silicon alloy, any of which may have a thickness of up to 50 m and may be present on each side of the steel substrate. Taking into account the thickness of the steel substrate and any optional surface layer that may be present, the steel workpiece 10 may have a thickness that ranges from 0.3 mm and 6.0 mm, or more narrowly from 0.6 mm to 2.5 mm, at least at the spot weld location.
(9) The aluminum workpiece 12 includes an aluminum substrate that is either coated or uncoated. The aluminum substrate may be composed of unalloyed aluminum or an aluminum alloy that includes at least 85 wt % aluminum. Some notable aluminum alloys that may constitute the coated or uncoated aluminum substrate are an aluminum-magnesium alloy, an aluminum-silicon alloy, an aluminum-magnesium-silicon alloy, and an aluminum-zinc alloy. If coated, the aluminum substrate may include a surface layer of a refractory oxide material comprised of aluminum oxide compounds and possibly other oxide compounds as well, such as magnesium oxide compounds if the aluminum substrate is an aluminum-magnesium alloy. The aluminum substrate may also be coated with a layer of zinc, tin, or a metal oxide conversion coating comprised of oxides of titanium, zirconium, chromium, or silicon, as described in US Pat. Pub. No. 2014/0360986. The surface layer may have a thickness ranging from 1 nm to 10 m and may be present on each side of the aluminum substrate. Taking into account the thickness of the aluminum substrate and any optional surface layer that may be present, the aluminum workpiece 12 may have a thickness that ranges from 0.3 mm to about 6.0 mm, or more narrowly from 0.5 mm to 3.0 mm, at least at the spot weld location.
(10) The aluminum substrate of the aluminum workpiece 12 may be provided in wrought or cast form. For example, the aluminum substrate may be composed of a 4xxx, 5xxx, 6xxx, or 7xxx series wrought aluminum alloy sheet layer, extrusion, forging, or other worked article. Alternatively, the aluminum substrate may be composed of a 4xx.x, 5xx.x, 6xx.x, or 7xx.x series aluminum alloy casting. Some more specific kinds of aluminum alloys that may constitute the aluminum substrate include, but are not limited to, AA5754 and AA5182 aluminum-magnesium alloy, AA6111 and AA6022 aluminum-magnesium-silicon alloy, AA7003 and AA7055 aluminum-zinc alloy, and Al-10SiMg aluminum die casting alloy. The aluminum substrate may further be employed in a variety of tempers including annealed (O), strain hardened (H), and solution heat treated (T), if desired.
(11) The workpiece stack-up assembly 32 includes a first outer surface 36 proximate the aluminum workpiece 12 and a second outer surface 38 proximate the steel workpiece 10. The term proximate as used in this context means a surface of the actual aluminum or steel workpiece 10, 12 or the surface of a nearby workpiece of the same side of the stack-up assembly 32 as the aluminum or steel workpiece 10, 12. For instance, when only the steel and aluminum workpieces 10, 12 are present in the stack-up assembly 32 (e.g., a 2T stack-up), as shown here in
(12) The fact that the workpiece stack-up assembly 32 may include at least one other additional workpiece besides the adjacent steel and aluminum workpieces 10, 12 which overlap to form the faying interface 34 does not change the basic function of the mating welding electrodes or their effect on a spot weld formed between the adjacent steel and aluminum workpieces 10, 12. In either instance, as will be further explained below, a spot weld that comprises a weld joint contained within the aluminum workpiece 12 is formed by an electrical current delivered between the spot welding electrodes, and the resultant weld joint upon solidification bonds to the adjacent faying surface of the steel workpiece 10. Consequently, the generalized depictions of the workpiece stack-up assembly 32 shown in
(13) In
(14) The shapes of the first and second spot welding electrodes 14, 16 differ principally in the design of their weld faces 40, 42. For each of the first and second spot welding electrodes 14, 16, one of its ends is tapered from the outer diameter of the cylindrical body 44 in the shape of a truncated cone 22, or a truncated sphere, with an annular surface (surface 24 on the first welding electrode 14, and surface 26 on the second welding electrode 16) for accommodating a central weld face portion of the electrode 14, 16. In the first spot welding electrode 14, which engages the first outer surface 36 of the workpiece stack-up assembly 32, the weld face 40 has a central ascending convex surface 28 that rises above the annular surface 24 that surrounds and is contiguous with the convex surface 28. The central ascending convex surface 28 may be a sectional portion of a sphere having a radius of curvature between 50 mm and 5 mm and, more narrowly, between 25 mm and 8 mm. The annular surface 24 may be oriented perpendicular to the common axis 18, as shown, or it may be angled relative to the common axis 18. Moreover, the annular surface 26 may be nominally flat (which is a level of planarity that allows for random surface roughening via grit blasting and the like) or it may include more defined surface intrusions or protrusions such as upstanding radially spaced apart upstanding circular ridges. The diameter of the central ascending convex surface 28 at its widest dimension may range from 2 mm to 15 mm, or more narrowly from 3 mm to 10 mm, while the diameter of the entire first weld face 40 as defined by the periphery of the annular surface 24 may range from the 3 mm to 20 mm, or more narrowly from 4 mm to 12 mm.
(15) Conversely, in the second spot welding electrode 16, which engages the second outer surface 38 of the workpiece stack-up assembly 32, the weld face 42 has a central descending concave surface 30 that drops below the annular surface 26 that surrounds and is contiguous with the concave surface 30. The central descending concave surface 30 may be formed as an intruding depression of a sectional portion of a sphere having a radius of curvature that also lies between 50 mm and 5 mm, or more narrowly between 25 mm to 8 mm. The annular surface 26 may be oriented perpendicular to the common axis 18, as shown, or it may be angled relative to the common axis 18. Moreover, the annular surface 26 is preferably nominally flat. The diameter of the central descending concave surface 30 at its widest dimension may range from 2 mm to 15 mm, or more narrowly from 3 mm to 10 mm, while the diameter of the entire second weld face 42 as defined by the periphery of the annular surface 26 may range from 3 mm to 20 mm, or more narrowly from 4 mm to 12 mm. The central descending concave surface 30 of the second weld face 42 and the central ascending convex surface 28 of the first weld face 40 are sized and shaped to have a mating relationship even though the two weld faces 40, 42 do not actually engage each other during resistance spot welding.
(16) The mating relationship between the weld face 40 of the first spot welding electrode 14 and the weld face 42 of the second spot welding electrode 16 may be complimentary in that the central ascending convex surface 28 and the central descending concave surface 30 are matching counterparts such that the convex surface 28 would fit snugly within the concave surface 30 of the central portions of the weld faces 40, 42 were brought together. In another embodiment, the mating relationship between the weld face 40 of the first spot welding electrode 14 and the weld face 42 of the second spot welding electrode 16 may accommodate the overall thickness of the workpiece stack-up assembly 32; that is, the central ascending convex surface 28 and the central descending concave surface 30 are sized such that a constant gap equal to the overall thickness of the stack-up assembly 32 can be maintained between the surfaces 28, 30 during spot welding and, more particularly, during current flow. For example, if the central ascending convex surface 28 and the central descending concave surface 30 are spherically shaped, the difference in the radii of curvature of the two central weld face portions 40, 42 is preferably between 1 mm and 8 mm, but larger or smaller differences can be employed depending on the overall thickness of the stack-up assembly 32. Indeed, if a 1 mm aluminum workpiece is being welded to a 2 mm steel workpiece, thus producing an overall stack-up thickness of 3 mm, then the central ascending convex surface 28 of the weld face 40 of the first spot welding electrode 14 could have a 17 mm radius of curvature while the central descending concave surface 30 of the weld face 42 of the second spot welding electrode 16 could have a 20 mm radius of curvature.
(17) The first and second spot welding electrodes 14, 16 can be formed of any suitable electrically and thermally conductive material. For example, the spot welding electrodes 14, 16 may be constructed from a material having an electrical conductivity of at least 45% IACS and a thermal conductivity of at least 180 W/mK. Some material classes that fit this criterion include a copper alloy and a refractory-based material that includes at least 35 wt %, and preferably at least 50 wt %, of a refractory metal. Specific examples of suitable copper alloy include a C15000 copper-zirconium (CuZr) alloy, a C18200 copper-chromium (CuCr) alloy, and a C18150 copper-chromium-zirconium (CuCrZr) alloy, while the a suitable refractory-based material may include a molybdenum or tungsten particulate phase such as a tungsten-copper metal composite that contains between 50 wt % and 90 wt % of a tungsten particulate phase dispersed in copper matrix that constitutes the balance (between 50 wt % and 10 wt %) of the composite. Other materials not expressly listed here that meet the applicable electrical and thermal conductivity standards may, of course, also be used as well.
(18) Referring now to the cross-sectional views presented in
(19) The passing electrical current rapidly heats up the more electrically and thermally resistive steel workpiece 10 to a temperature above the melting point or range of the adjacent portion of the aluminum workpiece 12. Heat from the steel workpiece 10 is transferred into the adjacent portion of the aluminum workpiece 12 to create a molten weld pool within the aluminum workpiece 12 that wets the adjacent faying surface of the steel workpiece 10. Such wetting of the steel workpiece faying surface with molten aluminum tends to cause molten aluminum to react with or dissolve iron from the steel workpiece 10 while simultaneously growing a brittle intermetallic layer along the surface of the steel workpiece 10 that may include FeAl.sub.3 compounds, Fe.sub.2Al.sub.5 compounds, and possibly other FeAl intermetallic compounds as well. Upon termination of the electrical current flow between the weld faces 40, 42 of the first and second spot welding electrodes 14, 16, the molten weld pool created within the aluminum workpiece 12 solidifies into a spot weld 50 that includes a weld joint 52 (
(20) Referring back to
(21) The reduced current density within the steel workpieces 10 helps to decrease the thickness of the intermetallic layer across the whole bonding interface 54 of the weld joint 52, but is especially effective in doing so at the central region of the weld joint 52. Moreover, since heat concentration at the center of the molten weld pool is avoided, overheating and expulsion of liquid aluminum is less of a concern. The annular surface 24 surrounding the ascending convex surface 28 of the weld face 40 of the first spot welding electrode 14 may eventually make contact with the first outer surface 34 of the stack-up assembly 32 at high levels of sheet indentation. If such contact occurs, the radially outwardly expanding flow path 56 will begin to subside and may in fact cease to exist, particularly if the annular surface 24 of the weld face 40 of the first spot welding electrode 14 is flat to match the preferably flat annular surface of the weld face 42 of the second spot welding electrode 16, resulting in a more uniform cylindrical current flow path and the stoppage of further indentation of the weld face 40.
(22) Referring now to
(23) In the description above, one particular embodiment of the central ascending convex surface 28 of the weld face 40 of the first spot welding electrode 14 the central descending concave surface 30 of the weld face 42 of the second spot welding electrode 16 as been described in which each of those surfaces 28, 30 may be spherical. The shape of the central ascending convex surface 28 and the central ascending concave surface 30, however, are not limited only to mating spherical geometries, as other mating geometries can function in accordance with the principles and teachings set forth above. For instance, the central ascending convex surface 28 may rise above its surrounding annular surface 24 while being formed as a sectional portion of an ellipsoid, a sectional portion of a truncated sphere (i.e., a partial sphere with a flat top surface), a truncated cone, or some other geometrical shape. Likewise, the central descending concave surface 30 may be formed as an intruding depression of a sectional portion of an ellipsoid, a sectional portion of a truncated sphere, a truncated cone, or some other geometrical shape as needed to mate with the central ascending convex surface 28.
(24) The above description of preferred exemplary embodiments and specific examples are merely descriptive in nature; they are not intended to limit the scope of the claims that follow. Each of the terms used in the appended claims should be given its ordinary and customary meaning unless specifically and unambiguously stated otherwise in the specification.