Efficient topology optimization using compatibility projection in micromechanical homogenization
Computational Engineering, Finance, and Science
2022-06-20 v2
Abstract
The adjoint method allows efficient calculation of the gradient with respect to the design variables of a topology optimization problem. This method is almost exclusively used in combination with traditional Finite-Element-Analysis, whereas Fourier-based solvers have recently shown large efficiency gains for homogenization problems. In this paper, we derive the discrete adjoint method for Fourier-based solvers that employ compatibility projection. We demonstrate the method on the optimization of composite materials and auxetic metamaterials, where void regions are modelled with zero stiffness.
Cite
@article{arxiv.2107.04123,
title = {Efficient topology optimization using compatibility projection in micromechanical homogenization},
author = {Indre Jödicke and Richard J. Leute and Till Junge and Lars Pastewka},
journal= {arXiv preprint arXiv:2107.04123},
year = {2022}
}
Comments
17 pages, 5 figures