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A domain-independent interaction integral method for evaluating the dynamic stress intensity factors of an interface crack in nonhomogeneous materials

Research paper by Kai Huang, Licheng Guo, Hongjun Yu, Pengfei Jia, Takayuki Kitamura

Indexed on: 11 Oct '16Published on: 23 Sep '16Published in: International Journal of Solids and Structures



Abstract

We propose a new domain-independent interaction integral (DII-integral), which can evaluate the dynamic stress intensity factors (DSIFs) of an interface crack in nonhomogeneous materials under dynamic loading conditions. The DII-integral is rigorously proved to be domain-independent of arbitrary interfaces emerged in the integral domain. Since no material property derivative is involved in the DII-integral formulation, it can be applied to the interface crack problems with both differentiable and non-differentiable material properties. By using the extended finite element method (XFEM) combined with the DII-integral, several benchmark problems are investigated to examine the validity of the proposed DII-integral and the influence of material nonhomogeneity on the DSIFs. The results show that the present DII-integral is effective and efficient to evaluate the DSIFs of an interface crack in nonhomogeneous materials.

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