Macro-micro uncoupled analysis procedure for nonlinear structural mechanics of composites - RVE approach to microstructural geometrically nonlinear problem

The purpose of this study is to develop a practical analysis procedure for nonlinear structural mechanics of composites. Especially, to solve such a nonlinear mechanical problem arising from the microstructural nonlinear behavior, the new homogenization procedure named macro-micro uncoupled method is proposed. First, the homogenized macroscopic material properties are calculated by precise microscopic nonlinear analysis. Then, macroscopic analysis can be performed easily by only referring to the pre-calculated nonlinear material properties. In this paper, RVE approach is taken for the microscopic nonlinear analysis, and the proposed macro-micro uncoupled method is applied to a microstructural large deformation problem of porous media.