Three dimensional multi-scale topology optimization of composites

Abstract

The present study applies so-called multi-scale topology optimization for minimization of compliance of three dimensional structural problems. Multi-scale topology optimization is a strategy to optimize topology of microstructures applying a decoupling multi-scale analysis based on a homogenization method. The stiffness of the macrostructure is maximized with a prescribed material volume of constituents under linear elastic regime. A gradient-based optimization strategy is applied and a semi-analytical sensitivity approach is introduced. It was verified from a series of numerical examples that the proposed method has great possibility for microscopic advanced material designs.