BEM FOR NUMERICAL SIMULATION OF FAILURE PROCESS IN HETROGENEOUS MATERIALS

In this paper, the lattice model and statistical distributions are used to represent the initial heterogeneous distribution of material properties. Equations of the reduplicate multi-sub-region (RMSR) boundary element method are established for the lattice model of 2-D heterogeneous materials. Each row of sub-regions in the lattice are integrated into a super-sub-region and the transfer matrix of sub-region method (TMSRM) is employed to solve the super-sub-region placed in chain. Since the memory demand of the TMSRM is only a little more than that of solving one super-sub-region and the coefficient matrices are only generated just once in RMSR, the capacity and efficiency can be increased significantly. As an example of application of the above-proposed methods, the failure process of 2-D heterogeneous materials is numerically simulated. With the RMSR and TMSRM, the continuous distribution of stress with high accuracy is expected, which provides a good foundation for further research on the initiation, propagation of crack and failure process in heterogeneous materials.