Dynamic crack propagation analysis by the extended finite element method

摘要

The extended finite element method (XFEM) of dynamic crack propagation is presented.The mortar method (segment-to-segment contact approach) in combination with the augmentedLagrange's method is adopted to establfish the contact conditions between crack faces,thus thecontact is modeled precisely,and it is convenient to solve the control equations.The generalizednodal shape functions are used in a cluster of nodes around the cracks,a ramp function is usedto avoid the blending element problem,and these techniques can effectively improve the accuracyof stresses in the vicinity of crack.