Structured material substrates for flexible, stretchable electronics

A method of forming a flexible and stretchable substrate comprising:

• providing a strain-permitting material;
• forming a patterned conformation on the strain-permitting material including a plurality of geometrically-structured and shaped strain relief features contiguously bridging large low strain domains that allows the flexible and stretchable patterned substrate to experience continuous local strain or local strain domains lower than the macroscopic strain of the flexible and stretchable patterned substrate, said geometrically-structured strain relief features are patterned and tailored to withstand a plurality of loading conditions while simultaneously maintaining continuous low strain domains throughout said substrate, wherein the geometrically-structured and shaped strain relief features between said large low strain domains bend and deform to accommodate the macroscopic strain such that a continuous region of low strain is maintained in the geometrically-structured strain relief features and such that said large low strain domains undergo relative translations and rotations ensuring low strain magnitude in the low strain domains and a continuous low strain region in the contiguous geometrically-structured strain-relief features, wherein a hinge structure that connects two adjacent low strain regions where one end of the hinge structure is coupled to a first low strain region and the other end of the hinge structure is coupled to an opposite end of a second low strain region, wherein the hinge structure includes an elongated structure having curve ends.