Multi-scale Topology Optimization Using FFT-based Homogenization with Elasto-plastic Material

Abstract

Thanks to the development of additive manufacturing technology, it is becoming possible to produce materials with desired mechanical properties defined by their periodic microstructures. Multi-scale topology optimization has been paid attention to in many engineering fields to design optimal microstructures. However, its high computational cost prevents practical use, such as high-resolution 3D analysis for precision modeling and non-linear analysis assuming actual materials. In this study, to solve this problem, we focus on the homogenization approach using fast Fourier transform and develop a new optimization method with fast computing speed and low memory requirement. By performing sample analyses, we demonstrate the validity and efficiency of the proposed method.