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 . The multi-scale formulation utilises homogenisation of optimal microstructures to facilitate efficient coarse-scale optimisation. Dehomogenisation allows f...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization Vol. 67; no. 12; p. 205
Main Authors: Woldseth, Rebekka Varum, Sigmund, Ole, Jensen, Peter Dørffler Ladegaard
Format: Journal Article
Language:English
Published: Heidelberg Springer Nature B.V 01.12.2024
Subjects:
Composite materials
Computer graphics
Heuristic
Homogenization
Load
Matlab
Microstructure
Phasors
Topology optimization
ISSN:1615-147X, 1615-1488
Online Access:Get full text
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Summary:This work presents an 808-line Matlab educational code for combined multi-scale topology optimisation and phasor-based dehomogenisation titled . 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 Github .
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ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-024-03880-1