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arXiv · 2405.14321

An 808 Line Phasor-Based Dehomogenisation Matlab Code For Multi-Scale Topology Optimisation

Rebekka Varum Woldseth·Ole Sigmund·Peter Dørffler Ladegaard Jensen
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Abstract

This work presents an 808-line Matlab educational code for combined multi-scale topology optimisation and phasor-based dehomogenisation titled deHomTop808. The multi-scale formulation utilises homogenisation of optimal microstructures to facilitate efficient coarse-scale optimisation. Dehomogenisation allows for a high-resolution single-scale reconstruction of the optimised multi-scale structure, achieving minor losses in structural performance, at a fraction of the computational cost, compared to its large-scale topology optimisation counterpart. The presented code utilises stiffness optimal Rank-2 microstructures to minimise the compliance of a single-load case problem, subject to a volume fraction constraint. By exploiting the inherent efficiency benefits of the phasor-based dehomogenisation procedure, on-the-fly dehomogenisation to a single-scale structure is obtained. The presented code includes procedures for structural verification of the final dehomogenised structure by comparison to the multi-scale solution. The code is introduced in terms of the underlying theory and its major components, including examples and potential extensions, and can be downloaded from https://github.com/peterdorffler/deHomTop808.git.

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Rebekka Varum Woldseth, Ole Sigmund, Peter Dørffler Ladegaard Jensen. 2024-05-24. An 808 Line Phasor-Based Dehomogenisation Matlab Code For Multi-Scale Topology Optimisation. https://arxiv.org/abs/2405.14321

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