Hierarchical RVE-based multiscale modelling of non-linear heterogeneous materials using the finite volume method

This paper describes the development of a hierarchical multiscale procedure within finite volume (FL) OpenFOAM framework for modeling mechanical response nonlinear heterogeneous solid materials. is first model mechanics using FL discretization method. In this computational procedure, information passed between macro- and microscales representative elements (RVEs), allowing general, nonperiodic microstructures to be considered. An RVE with prescribed microstructural features assigned each point. The overall macro accounts effects through coupling microscales, i.e., deformation gradient and, in turn, homogenized micro stress-strain back macroscale. incremental total Lagrangian formulation used represent equilibrium state domain at both scales, its integral equation discretized cell-centered (colocated) FV method OpenFOAM. verification demonstrated two- three-dimensional simulations perforated elastic-plastic plates subjected tensile loading.