Limit state analysis of asymmetrical microstructures based on yield design computational homogenization approach

This paper presents a novel formulation for the computational homogenization analysis of materials at limit state. The polynomial interpolations are employed to impose periodic boundary conditions fluctuating term displacement field when using arbitrary finite element meshes. Second-order cone programming provides an efficient solution solve resulting optimization problems, and accurate load multipliers can be obtained with minimum cost. Several asymmetrical material models investigated perform efficiency proposed method. collapse mechanisms representative volume elements also presented.