Topology optimization of microstructures for hyperelastic composites based on a decoupling multi-scale analysis

Abstract

The present study proposes topology optimization for microstructure of two-phase composite considering hyperelasticity to minimize the end compliance of the macrostructure based on a multi-scale analysis. In general the structural behavior of macrostructure depends on the geometric properties of the microstructure. In other words, optimizing microstructure is an effectual way to improve the macroscopic structural performance applying a multi-scale analysis. However, it needs unrealistic computational costs when structural optimization with nonlinear structural response based on the conventional micro-macro coupling multi-scale analysis is considered. The present study challenges to make it possible to solve the problem by introducing a so-called decoupling multi-scale analysis assuming hyperelasticity.