Evaluating the stress intensity factors of anisotropic bimaterials using boundary element method

Chao Shi Chen, Chien Chung Ke, Chia Huei Tu

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


This paper presents a boundary element method (BEM) procedure for a linear elastic fracture mechanics analysis in two-dimensional anisotropic bimaterials. In this formulation, a displacement integral equation is only collocated on the uncracked boundary, and a traction integral equation is only collocated on one side of the crack surface. A fundamental solution (Green's function) for anisotropic bimaterials is also derived and implemented into the boundary integral formulation so that except for the interfacial crack part, the discretization along the interface can be avoided. A special crack-tip element is introduced to capture the exact crack-tip behavior. A computer program using FORTRAN has been developed to effectively calculate the stress intensity factors of an anisotropic bimaterial. This BEM program has been verified to have a good accuracy with previous studies. In addition, a central cracked bimaterial Brazilian specimen constituting cement and gypsum is prepared to conduct the Brazilian test under diametral loading. The result shows that the numerical analysis can predict relatively well the direction of crack initiation and the path of crack propagation.

Original languageEnglish
Pages (from-to)1341-1364
Number of pages24
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number11
Publication statusPublished - 2008 Aug 15

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Materials Science(all)
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials


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