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Date of Publication:2011-01-01

Journal:土木工程学报

Volume:44

Issue:4

Page Number:16-22

ISSN No.:1000-131X

Abstract:The fracture energy of mixed mode cracks(GF) serves as one of the
   criterion for crack extension. The J integral is often used for the
   determination of the direction of crack propagation. Most of the
   previous studies on the calculation of fracture energy through J
   integral dealt either with the mode I crack or mode II crack only, and
   the crack is usually assumed to be in the horizontal direction, which
   causes some inconvenience in the numerical analysis. In this paper, the
   relationship between the value of J integral and the stress intensity
   factors(SIF) K for mixed mode inclinde cracks in the elastic material
   are determined. The scaled boundary finite element method(SBFEM) is put
   forward for the J integral calculation. Numerical examples are provided
   to verify the proposed formulae. Results are compared with those
   obtained by finite element method(FEM).It is revealed that the SBFEM
   approach is effective and efficient, and higher accuracy can be
   achieved. In addition, factors that affect the accuracy of the results
   such as the selection of the size of outer boundary of the calculated
   domain, the size of the discretized element and the position of integral
   path are examined

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