Abstract：The representative volume element (RVE) established on the mesoscopic scale, by which the analysis can reflect the microstructure of materials and macroscopic statistical mechanical properties, is an effective method to predict the mechanical properties. In this paper, the method of simulating a normal hexahedron RVE under arbitrary stress state with arbitrary stress path to calculate the macroscopic stress and strain is theoretically analyzed. The numerical calculation process is realized by applying the FEM software ABAQUS. The multi-scale analysis of the special positions of notched round bar under cyclic loading is carried out. The results show that: (1) This method can accurately control and realize the loading of RVE in arbitrary stress state and stress state path; (2) The simulation associated with RVE can obtain the microstructure evolution when the macrostructure under complex loading.
2017, Vol. 38 
