A Review of FE-FFT-Based Two-Scale Methods for Computational Modeling of Microstructure Evolution and Macroscopic Material Behavior

Abstract The overall, macroscopic constitutive behavior of most materials technological importance such as fiber-reinforced composites or polycrystals is very much influenced by the underlying microstructure. latter usually complex and heterogeneous in nature, where each phase constituent governed non-linear relations. In order to capture micro-structural characteristics, numerical two-scale methods are often used. purpose current work provide an overview state-of-the-art finite element (FE) FFT-based computational modeling microstructure evolution material behavior. Spahn et al. (Comput Methods Appl Mech Eng 268:871–883, 2014) were first introduce this kind FE-FFT-based methodology, which has emerged efficient accurate tool model across scales recent years.