A general mass lumping technique for X-FEM explicit dynamics simulations.Application to 2D and 3D dynamic crack growth.

摘要

We present a framework based on the X-FEM and explicit dynamics for the simulation of dynamic crack growth. A new mass lumping technique is proposed for arbitrary enrichment functions, and critical time step estimates are proposed. An element-by-element explicit time integrator is proposed. For non enriched elements, the central difference explicit time integrator is used and for enriched elements we use an explicit unconditionally stable time integrator. The stability of the method is demonstrated by the energy method. This allows us to maximize the critical time step and therefore to reduce the numerical cost and improve efficiency. 2D and 3D example illustrate the performance of the method.