Numerical simulation of bimaterial interface cracks using extended finite element method postprint

Abstract:
The extended finite element method(XFEM)has a great advantage over the finite element method(FEM)in dealing with strong and weak discontinuities by introducing enrichment function into discontinuities.In this paper,bimaterial interface craks have been simulated using extended finite element method(XFEM).The displacement approximation equation of bimaterial interface crack is given.The integral method of the interaction integral and the integral strategy of element stiffness matrix are presented.Material discontinuity has been modeled by modified extended finite element method,and the crack penetration is simulated by Heaviside function,the crack tip is simulated by two different asymptotic crack tip enrichment functions,and the corresponding propagation extended finite element program is compiled by Matlab.Good agreement between the numerical results and the reference solutions for bimaterial interface cracks problems is realized.