Multi-scale topology optimization for hyperelastic composites applying a decoupling multi-scale analysis

Abstract

The present study proposes multi-scale topology optimization for a two-phase composite considering hyperelasticity to minimize the end compliance of a macrostructure based on a decoupling multi-scale analysis. Much attention is paid to multi-scale topology optimization for its effectiveness in the field of the advanced material design dealing with a highly complex material behavior. However, most of the researches dealing with multi-scale topology optimization assume linear elasticity to avoid its complicated mathematical formulation and huge computational costs. The present study challenges to develop multi-scale topology optimization considering hyperelastic composite materials. In this context, we propose a two-scale adjoint sensitivity analysis utilizing a localization process.