2012•Advanced materials researchOpen access

Study of Numerical Problem Based on the Extended Finite Element Method

Di Zhang, Feng Wang, Hui Xu

Abstract

The extended finite element method (XFEM) provides an effective tool for analyzing crack problems.The control equations and the weak form can be established through balance equations ,boundary condition, geometry equations,etc.After the establishment of stiffness matrix,the crack problems can be solved by XFEM conveniently.

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Key concepts: Extended finite element method, Stiffness matrix, Finite element method, Mixed finite element method, Boundary value problem, Mathematics, Stiffness, Matrix (chemical analysis)