Phasor noise for dehomogenisation in 2D multiscale topology optimisation

• DOI: 10.1016/j.cma.2023.116551
• Publication Date: 2023-10-28T21:12:30Z
• Authors: Rebekka V. Woldseth; J. Andreas Bærentzen; Ole Sigmund
• Keywords: Representation; Implementation; Rank (graph theory)

This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline phasor noise. The proposed methodology offers improvement existing methods, where high-quality single-scale designs can be obtained efficiently without utilisation any least-squares problem or pre-trained models. By utilising a continuous and periodic representation translation at each intermediate step, appropriate length-scale thicknesses obtained. Numerical tests verifies performance compared state-of-the-art alternatives, dehomogenised achieve structural within few percentages optimised homogenised solution. nature phasor-based is inherently mesh-independent highly parallelisable, allowing for further efficient implementations future extensions 3D problems unstructured meshes.