Design of composite structures with programmable elastic responses under finite deformations

We systematically design composite metastructures using multi-material topology optimization to precisely achieve tunable elastic responses under finite deformations. formulate an inverse problem where the errors between actual (numerical) and prescribed force–displacement curves are minimized. The framework harnesses multiple hyperelastic materials with distinct constitutive relations, which enlarges space of programmable structures compared single-material setting. A stress constraint for is proposed control levels deformation in optimized limits. Through several numerical scenarios, we that a variety programmed load–displacement curves, some physically unattainable single materials. exhibit unconventional geometries distributions reveal mechanisms, such as converting modes from flexure-dominated stretch-dominated. Multiple designs achieving same target response identified, demonstrating effectiveness methodology explore various responses.