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An electrode supported electrolyte membrane includes an electrode layer 630 facing an electrolyte layer 620. The opposing side of the electrode layer 630 includes a backing layer 640 of a material with a thermal expansion coefficient approximately equal to the thermal expansion coefficient of the el

An electrode supported electrolyte membrane includes an electrode layer 630 facing an electrolyte layer 620. The opposing side of the electrode layer 630 includes a backing layer 640 of a material with a thermal expansion coefficient approximately equal to the thermal expansion coefficient of the electrolyte layer 620. The backing layer 640 is in a two dimensional pattern that covers only a portion of the electrolyte layer 630. An electrochemical cell such as a SOFC is formed by providing a cathode layer 610 on an opposing side of the electrolyte layer 620.

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What is claimed is: 1. An electrode supported electrolyte membrane for an electrochemical cell comprising: a substantially continuous layer of a ceramic ion conducting electrolyte supported on a conductive electrode substrate, wherein the conductive electrode substrate is planar and has a thickness

What is claimed is: 1. An electrode supported electrolyte membrane for an electrochemical cell comprising: a substantially continuous layer of a ceramic ion conducting electrolyte supported on a conductive electrode substrate, wherein the conductive electrode substrate is planar and has a thickness less than about 750 μm and includes an active electrode layer and a bulk electrode layer; a backing structure on a face of the bulk electrode layer opposite the electrolyte layer and composed of a material having a thermal expansion coefficient about equal to the terminal expansion coefficient of the ceramic ion conducting electrolyte; wherein the backing structure has a thickness cross-section, and includes at least one void extending completely through the thickness cross-section of the backing structures wherein the at least one void is arranged in a two-dimensional pattern such that the backing structure covers less than about 50% of the area of the face of the bulk electrode layer and is effective to prevent deflection of more than about 0.05 mm/cm of length of the bulk electrode layer upon a temperature change from 1000�� C. and 100�� C. and wherein the pattern includes elongated strips spanning substantially completely across the face of the substrate. 2. The electrode supported electrolyte membrane of claim 1 wherein the backing structure covers less than about 25% of the area of the face of the substrate. 3. The electrode supported electrolyte membrane of claim 1 wherein the electrode is an anode containing between about 30% to 70% Ni by volume and the electrolyte is YSZ. 4. The electrode supported electrolyte membrane of claim 3 in combination with a cathode layer to form a solid oxide fuel cell. 5. The electrode supported electrolyte membrane of claim 1 wherein the pattern includes a substantially continuous perimeter around at least a portion of the face of the substrate. 6. The electrode supported electrolyte membrane of claim 1 wherein the pattern includes intersecting thin strips. 7. The electrode supported electrolyte membrane of claim 1 wherein the membrane is generally rectangular in outer dimension and the pattern includes a plurality of elongated strips spanning between opposed sides of the rectangle. 8. The electrode supported electrolyte membrane of claim 7 wherein the strips span at least one diagonal of the rectangle. 9. A planar solid oxide fuel cell for electrochemically reacting a fuel gas with an oxidant gas to produce a DC output voltage, said solid oxide fuel cell comprising: (a) at least one fuel cell unit comprising: a layer of a ceramic ion conducting electrolyte defining first and second opposing surfaces; a conductive active anode layer defining first and second opposing surfaces, wherein the first surface of the active anode layer is facing the first surface of the electrolyte layer; a conductive bulk anode layer defining first and second opposing surfaces, wherein the first surface of the conductive bulk anode layer is facing the second surface of the active anode layer; a conductive cathode layer facing the second surface of the electrolyte layer; and a backing layer facing the second surface of the conductive bulk anode layer; wherein the backing layer is of a material having a thermal expansion coefficient about equal to the thermal expansion coefficient of the ceramic ion conducting electrolyte, wherein the backing layer has a thickness cross-section, and includes at least one void extending completely through the thickness cross-section of the backing layer wherein the at least one void is arranged in a two-dimensional pattern such that the backing layer covers less than about 50% of the area of the second surface of the conductive bulk anode layer and wherein the pattern includes elongated strips spanning substantially completely across the surface of the conductive bulk anode layer; and (b) at least one interconnect coupled to the fuel cell unit. 10. The fuel cell of claim 9 wherein the backing layer is formed in a two dimensional pattern that has at least one line of symmetry. 11. The fuel cell of claim 9 wherein the backing layer includes the ceramic ion conduction electrolyte. 12. The fuel cell of claim 11 wherein the ceramic ion conducting electrolyte is YSZ. 13. The fuel cell of claim 9 wherein the layer of electrolyte has a thickness less than about 15 μm. 14. The fuel cell of claim 9 wherein the combined thickness of the conductive active anode layer and the conductive bulk anode layer is less than about 750 μm. 15. The fuel cell of claim 14 wherein the combined thickness of the active anode layer, the bulk anode layer, the cathode layer, and the electrolyte layer is less than about 600 μm. 16. The fuel cell of claim 10 constructed by co-sintering the conductive active and bulk anode layers and the ceramic ion conducting electrolyte layer to form an anode-electrolyte bilayer and allowing the anode electrolyte bilayer to cool to a temperature below about 100�� C. before providing the conductive cathode layer facing the second surface of the electrolyte layer. 17. An anode supported electrolyte membrane which resists developing thermally induced camber comprising: a planar layer of a ceramic ion conducting electrolyte having a length greater than about 3 cm and a thickness less than about 15 μm supported by a planar anode layer having a thickness less than about 750 μm; and a backing structure on a back face of the anode layer opposite the electrolyte layer and composed of a material having a thermal expansion coefficient about equal to the thermal expansion coefficient of the ceramic ion conducting electrolyte, wherein the backing structure is not an interconnect, wherein the backing structure has a thickness cross-section, and includes at least one void extending completely through the thickness cross-section of the backing structure, wherein the at least one void is arranged in a two-dimensional pattern, and wherein the pattern includes elongated strips spanning substantially completely across the face of the anode layer. 18. The anode supported electrolyte membrane of claim 17 wherein the backing structure covers less than 60% of the back face of the anode layer. 19. The anode supported electrolyte membrane of claim 18 wherein the backing structure includes YSZ. 20. The anode supported electrolyte membrane of claim 19 constructed by initially covering substantially all of the back face of the anode layer with the backing structure and then removing portions of the backing structure to expose the back face of the anode layer. 21. The anode supported electrolyte membrane of claim 17 wherein the backing structure includes SiC. 22. The fuel cell of claim 9, wherein the fuel cell comprises more than one fuel cell unit, and the interconnect is disposed between adjacent fuel cell units. 23. The fuel cell of claim 9, wherein the backing layer has a thickness cross-section and includes at least one void extending completely through the thickness cross-section. 24. An electrode supported electrolyte membrane for an electrochemical cell comprising: a substantially continuous layer of a ceramic ion conducting electrolyte supported on a conductive electrode substrate, wherein the conductive electrode substrate is planar and has a thickness less than about 750 μm and includes an active electrode layer and a bulk electrode layer; a backing structure on a face of the bulk electrode layer opposite the electrolyte layer and composed of a material having a thermal expansion coefficient about equal to the terminal expansion coefficient of the ceramic ion conducting electrolyte; wherein the backing structure has a thickness cross-section, and includes at least one void extending completely through the thickness cross-section of the backing structure, wherein the at least one void is arranged in a two-dimensional pattern such that the backing structure covers less than about 50% of the area of the face of the bulk electrode layer and is effective to prevent deflection of more than about 0.05 mm/cm of length of the bulk electrode layer upon a temperature change from 1000�� C. and 100�� C., wherein the pattern includes intersecting thin strips. 25. An electrode supported electrolyte membrane for an electrochemical cell, wherein the membrane is generally rectangular in outer dimension, comprising: a substantially continuous layer of a ceramic ion conducting electrolyte supported on a conductive electrode substrate, wherein the conductive electrode substrate is planar and has a thickness less than about 750 μm and includes an active electrode layer and a bulk electrode layer; a backing structure on a face of the bulk electrode layer opposite the electrolyte layer and composed of a material having a thermal expansion coefficient about equal to the terminal expansion coefficient of the ceramic ion conducting electrolyte; wherein the backing structure has a thickness cross-section, and includes at least one void extending completely through the thickness cross-section of the backing structure, wherein the at least one void is arranged in a two-dimensional pattern such that the backing structure covers less than about 50% of the area of the face of the bulk electrode layer and is effective to prevent deflection of more than about 0.05 mm/cm of length of the bulk electrode layer upon a temperature change from 1000�� C. and 100�� C. and wherein the pattern includes a plurality of elongated strips spanning substantially between opposed edges of the rectangular membrane. 26. The electrode supported electrolyte membrane of claim 25 wherein the strips span at least one diagonal of the rectangular membrane.