An 808 Line Phasor-Based Dehomogenisation Matlab Code For Multi-Scale Topology Optimisation
<|reference_start|>An 808 Line Phasor-Based Dehomogenisation Matlab Code For Multi-Scale Topology Optimisation: 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.<|reference_end|>
@article{woldseth2024an,
    title={An 808 Line Phasor-Based Dehomogenisation Matlab Code For Multi-Scale
  Topology Optimisation},
    author={Rebekka Varum Woldseth, Ole Sigmund, Peter D{o}rffler Ladegaard
  Jensen},
    journal={arXiv preprint arXiv:2405.14321},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.14321},
    primaryClass={cs.MS cs.NA math.NA math.OC}
}