Solving Stress and Compliance Constrained Volume Minimization using Anisotropic Mesh Adaptation, the Method of Moving Asymptotes and a Global p-norm

摘要

The p-norm often used in stress constrained topology optimisation supposedlymimics a delta function and it is thus characterised by a small length scaleand ideally one would also prefer to have the solid-void transition occur overa small length scale, since the material in this transition does not have aclear physical interpretation. We propose to resolve these small length scalesusing anisotropic mesh adaptation. We use the method of moving asymptotes withinterpolation of sensitivities, asymptotes and design variables betweeniterations. We demonstrate this combination for the portal and L-bracketproblems with p=10, and we are able to investigate mesh dependence. Finally, wesuggest relaxing the L-bracket problem statement by introducing a roundedcorner.