ZHAO Ming-hao, LI Dong-xia, SHEN Ya-peng. Interfacial Crack Analysis in Three-Dimensional Transversely Isotropic Bi-Materials by Boundary Integral Equation Method[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1394-1400.
Citation: ZHAO Ming-hao, LI Dong-xia, SHEN Ya-peng. Interfacial Crack Analysis in Three-Dimensional Transversely Isotropic Bi-Materials by Boundary Integral Equation Method[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1394-1400.

Interfacial Crack Analysis in Three-Dimensional Transversely Isotropic Bi-Materials by Boundary Integral Equation Method

  • Received Date: 2004-05-17
  • Rev Recd Date: 2005-08-17
  • Publish Date: 2005-12-15
  • The integr al-differential equations for three-dimensional planar interfacial cracks of arbitrary shape in transversely isotropic bimaterials were derived by virtue of the Somigliana identity and the fundamental solutions,in which the displacement discontinuities across the crack faces are the unknowns to be determined.The interface is parallel to both the planes of isotropy.The singular behaviors of displacement and stress near the crack border were analyzed and the stress singularity indexes were obtained by integral equation method.The stress intensity factors were expressed in terms of the displaceme nt discontinuities.In the non-oscillatory case,the hyper-singular bo undary integral-differential equations werere duced to hyper-singular boundary integral equations similar to those of homogeneously isotropic materials.
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