Multiscale finite element based trans-scale calculation method for polycrystalline materials

In the present paper a multiscale finite element based trans-scale calculation method for polycrystalline materials is proposed to investigate the interaction between mechanical properties at macro and meso scale. The model analyzes the interaction between macro-scale factors such as structure and loads, and meso-scale factors such as geometry, distribution and orientation of polycrystal. Multiscale finite element was created by user subroutines of the ABAQUS. Also Voronoi diagram based polycrystalline finite element was realized by MATLAB. The polycrystalline finite element and the conventional finite element were connected using the multiscale finite element. The mesh independency and convergence of the model were investigated with perforated plate, and the correctness and feasibility of the model were verified with a laser repaired compact tensile specimen. The number of degrees of freedom of multiscale finite element based trans-scale calculation model for polycrystalline materials is much smaller than that of the model with the fine-scale elements, but the reduction in calculation accuracy is negligible. The model can be used to study the mechanical behavior of heterogenous materials simultaneously by combining meso-scale and macro-scale with a smaller amount of computation.