An analytical and numerical analysis of dynamic failure based on the multi-physics involved

To simulate dynamic failure evolution, we use a partitioned-modeling approach based on the transition between the types of governing differential equations (GDE's) for different material domains. An analytic and numerical analysis was performed in order to obtain a useful approach to simulate the dynamic failure evolution process.; In the analytical analysis, one-dimensional analytical solutions with both linear and non-linear local damage models for dynamic localization have been derived, by using the partitioned approach for different GDE domains. A similarity method was applied to solve the moving boundary problem. The solutions display the essential features of the localized damage evolution.; In the numerical analysis, a mesh-independent numerical solution scheme has been designed for dynamic failure analysis with the failure evolution governed by a diffusion process. The numerical procedure has been implemented into both a 2-D FEM code and MPM code. The model predictions were in good agreement with the test data, and reveal the essential feature of the failure wave propagation.; With a proposed sliding algorithm to guide material particles slide on the interface, the MPM was modified and applied to a penetration problem. It appears that the proposed numerical procedure can simulate the penetration and perforation problems.