首页|Inverse design of mechanical metamaterial achieving a prescribed constitutive curve
Inverse design of mechanical metamaterial achieving a prescribed constitutive curve
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Besides exhibiting excellent capabilities such as energy absorption,phase-transforming metamaterials offer a vast design space for achieving nonlinear constitutive relations.This is facilitated by switching between different pat-terns under deformation.However,the related inverse design problem is quite challenging,due to the lack of appropriate mathematical formulation and the convergence issue in the post-buckling analysis of intermediate designs.In this work,periodic unit cells are explicitly described by the moving morphable voids method and effectively analyzed by eliminating the degrees of freedom in void regions.Furthermore,by exploring the Pareto frontiers between error and cost,an inverse design formulation is proposed for unit cells.This formulation aims to achieve a prescribed constitutive curve and is validated through numerical examples and experimental re-sults.The design approach presented here can be extended to the inverse design of other types of mechanical metamaterials with prescribed nonlinear effective properties.
State Key Laboratory of Structural Analysis,Optimization and CAE Software for Industrial Equipment Department of Engineering Mechanics,Dalian University of Technology,Dalian 116023,China
Ningbo Institute of Dalian University of Technology,Ningbo 315016,China
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