Compliance–stress constrained mass minimization for topology optimization on anisotropic meshes

In this paper, we generalize the SIMPATY algorithm, which combines the SIMP method with anisotropic mesh adaptation to solve the minimum compliance problem with a mass constraint. In particular, the mass of the final layout is now minimized and both a maximum compliance and a maximum stress can be enforced as either mono- or multi-constraints. The new algorithm, named MSC-SIMPATY, is able to sharply detect the material–void interface, thanks to the anisotropic mesh adaptation. The presented test cases deal with three different scenarios, with a focus on the effect of the constraints on the final layouts and on the performance of the algorithm.