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arXiv · 2107.04123

Efficient topology optimization using compatibility projection in micromechanical homogenization

Indre Jödicke·Richard J. Leute·Till Junge·Lars Pastewka
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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.

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Indre Jödicke, Richard J. Leute, Till Junge, Lars Pastewka. 2021-07-07. Efficient topology optimization using compatibility projection in micromechanical homogenization. https://arxiv.org/abs/2107.04123

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