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Date of Publication:2015-01-01

Journal:工程力学

Volume:32

Issue:3

Page Number:15-21

ISSN No.:1000-4750

Abstract:The extended finite element method (XFEM) without remeshing has to adopt
   complex interpolation function based on analytic solution in the crack
   tip. Besides, the computational accuracy is affected by mesh density and
   interpolation function. The scale boundary finite element method (SBFEM)
   has great advantage in solving problems characterized by stress
   singularity and infinite domain. Because both methods are combined into
   the finite element theory, a fracture numerical coupling model with the
   advantages of the two methods can be established. Based on the principle
   of virtual work, a new fracture numerical method called X-SBFEM is
   proposed by taking advantage of the displacement coordination and the
   force balance mechanism. In this method, the crack body is simulated by
   XFEM and the crack tip is simulated by SBFEM. During the numerical
   evaluation, this algorithm is validated by calculating the stress
   intensity factors of cracks, which is compared with the theoretical
   solution.

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