Three-dimensional Multi-scale Stress Analysis of Heterogeneous Media by Finite Element Mesh Superposition Method and Homogenization Method

摘要

In the analysis of heterogeneous materials and components, it is essential to consider not only the microstructures but also the fracture origin such as crack, interface etc. Considering the dimensions of the microstructures, fracture origin and components, a novel multi-scale computational method is proposed that employs the enhanced mesh superposition method and the homogenization method. Emphasis is put on the microscopic stress analysis near crack tip with high gradient of macroscopic stress, and the 3D large-scale analysis using renumbering by RCM method and out-of-core skyline equation solver.