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This paper presents an alternative approach to dehomogenisation of elasticRank-N laminate structures based on the computer graphics discipline of phasornoise. The proposed methodology offers an improvement of existing methods,where high-quality single-scale designs can be obtained efficiently without theutilisation of any least-squares problem or pre-trained models. By utilising acontinuous and periodic representation of the translation at each intermediatestep, appropriate length-scale and thicknesses can be obtained. Numerical testsverifies the performance of the proposed methodology compared tostate-of-the-art alternatives, and the dehomogenised designs achieve structuralperformance within a few percentages of the optimised homogenised solution. Thenature of the phasor-based dehomogenisation is inherently mesh-independent andhighly parallelisable, allowing for further efficient implementations andfuture extensions to 3D problems on unstructured meshes.

Phasor Noise for Dehomogenisation in 2D Multiscale Topology Optimisation