Abstract
AbstractWe present a micro‐macro approach for the structural optimization of graded microlattices that contain unit cells with a triply periodic structure. These individual unit cells are based on minimal surface problems such as the the Schwarz Primitive surface or the Gyroid and exhibit a porous structure that allows for a macroscopic grading of the material fraction of the cells. Both the macro‐scale and the micro‐scale are optimized by means of a Cahn‐Hilliard phase‐field model that is coupled with an elastic problem. The optimization on the macro‐scale is performed with the finite element method (FEM) while the micro‐scale optimization makes use of a spectral method that solves the periodic problem in a fast manner by means of fast Fourier transforms (FFT).
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