Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis

摘要

A numerical implementation of the eXtended Finite Element Method (X-FEM) to analyzeudcrack propagation in a structure under dynamic loading is presented in this paper. The arbitraryudcrack is treated by the X-FEM method without re-meshing but using an enrichmentudof the classical displacement-based finite element approximation in the framework of theudpartition of unity method. Several algorithms have been implemented, within an OrientedudObject framework in C++, in the home made explicit FEM code. The new module, calledudDynaCrack, included in the dynamic FEM code DynELA, evaluates the crack geometry,udthe propagation of the crack and allow the post-processing of the numerical results. Theudmodule solves the system of discrete equations using an explicit integration scheme. Someudnumerical examples illustrating the main features and the computational efficiency of theudDynaCrack module for dynamic crack propagation are presented in the last section of theudpaper.