Two-Scale Elastic Shape Optimization for Additive Manufacturing

In this paper, a two-scale approach for elastic shape optimization of fine-scale structures in additive manufacturing is investigated. To end, free material performed on the macro-scale using elasticity tensors set microscopically realizable tensors. A database these and their cost values obtained with topology microscopic cells, working within fixed samples. This takes into account manufacturability constraints via predefined bridges to neighboring cells at faces fundamental cell. For actual chosen fine-scale, piecewise constant tensor ansatz grid macroscopic mesh applied. The an efficient online phase, whereas associated cellwise optimal patterns are retrieved from that was computed offline. that, admissible parametrized product cubic B-splines over unit square matching precomputed representation then efficiently used interior point method macro-scale.