2018 Volume 2018 Pages 20180015
The present study proposes topology optimization of microstructure considering elastoplastic deformation based on a decoupling multi-scale analysis. Energy absorption capacity of macrostructure is maximized under a prescribed material volume of microstructure. It is assumed that microstructure consists of a two-phase material based on elastoplastic von Mises model and that macrostructure is modeled with anisotropic Hill’s elastoplasticity. In this study, we extend the analytical sensitivity method used for mono-scale analysis to the decoupling multi-scale analysis and propose a framework of new multi-scale topology optimization, which can reduce the computational costs with keeping sensitivities highly accurate. It is verified by a series of numerical examples that the proposed method provides reliable optimization results and has a great potential for advanced material design.
