Multi-Material Topology Optimization for Spatial-Varying Porous Structures

This paper aims to propose a topology optimization method on generating porous structures comprising multiple materials. The mathematical formulation is established under the constraints of individual volume fraction constituent phase or total mass, as well local all phases. original problem with numerous converted into box-constrained by incorporating augmented Lagrangian function, avoiding parameter dependence in conventional aggregation process. Furthermore, percentage can be precisely satisfied. effects including global mass bound, influence radius and final designs are exploited through numerical examples. results also reveal that keep balance between bulk design periodic terms resulting compliance. All results, those for irregular constraints, demonstrate proposed provide an efficient solution material infill structures.