Numerical Simulation of Elastic Behavior and Failure Processes in Heterogeneous Material

摘要

A general numerical approach is developed to model the elastic behaviours and failure processes of heterogeneous materials. The heterogeneous material body is assumed composed of a large number of convex polygon lattices with different phases. These phases are locally isotropic and elastic-brittle with the different lattices displaying variable material parameters. When the effective strain exceeds a local fracture criterion, the full lattice exhibits failure uniformly, and this is modeled by assuming a very small Young modulus value. An auto-select loading method is employed to model the failure process. The proposed hybrid approach is applied to plan stress problems with fracture patterns and effective load-displacement curves presented to illustrate the full failure process.