HIGH-RESOLUTION MULTI-SCALE TOPOLOGY OPTIMIZATION USING FFT-BASED HOMOGENIZATION

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. To design optimal microstructures, multi-scale topology optimization has been paid attention to in many engineering fields. 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 stiffness maximization analyses with linear elastic materials, we demonstrate the validity and efficiency of the proposed method.