Phasor noise for dehomogenisation in 2D multiscale topology optimisation
Abstract
This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline of phasor noise. The proposed methodology offers an improvement of existing methods, where high-quality single-scale designs can be obtained efficiently without the utilisation of any least-squares problem or pre-trained models. By utilising a continuous and periodic representation of the translation at each intermediate step, appropriate length-scale and thicknesses can be obtained. Numerical tests verifies the performance of the proposed methodology compared to state-of-the-art alternatives, and the dehomogenised designs achieve structural performance within a few percentages of the optimised homogenised solution. The nature of the phasor-based dehomogenisation is inherently mesh-independent and highly parallelisable, allowing for further efficient implementations and future extensions to 3D problems on unstructured meshes.
- Publication:
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Computer Methods in Applied Mechanics and Engineering
- Pub Date:
- January 2024
- DOI:
- 10.1016/j.cma.2023.116551
- arXiv:
- arXiv:2310.04881
- Bibcode:
- 2024CMAME.418k6551W
- Keywords:
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- Computer Science - Computational Engineering;
- Finance;
- and Science;
- Computer Science - Graphics
- E-Print:
- In proceedings for publication in Computer Methods in Applied Mechanics and Engineering