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Periodical interfacial cracks in anisotropic elastoplastic media

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Abstract

By using Fourier transformation the boundary problem of periodical interfacial cracks in anisotropic elastoplastic bimaterial was transformed into a set of dual integral equations and then it was further reduced by means of definite integral transformation into a group of singular equations. Closed form of its solution was obtained and three corresponding problems of isotropic bimaterial, of a single anisotropic material and of a bimaterial of isotropy-anisotropy were treated as the specific cases. The plastic zone length of the crack tip and crack openning displacement (COD) decline as the smaller yield limit of the two bonded materials rises, and they were also determined by crack length and the space between two neighboring cracks. In addition, COD also relates it with moduli of the materials.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Human University, 410082, Changsha, P. R. China

    Xiao Wan-shen Associate Professor

  2. College of Astronautics and Material Engineering, National University of Defense Technology, 410073, Changsha, P. R. China

    Xiao Wan-shen Associate Professor, Zhou Jian-ping & Tang Guo-jin

Authors
  1. Xiao Wan-shen Associate Professor
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  2. Zhou Jian-ping
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  3. Tang Guo-jin
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Additional information

Communicated by Wang Yin-bang

Foundation items: the National Natural Science Foundation of China (19872076); the Postdoctoral Science Foundation of China (00-2001); the National Natural Science Foundation of China for Outsanding Young Scienctists (19925209)

Biography: Xiao Wan-shen (1959≈)

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Wan-shen, X., Jian-ping, Z. & Guo-jin, T. Periodical interfacial cracks in anisotropic elastoplastic media. Appl Math Mech 24, 1342–1347 (2003). https://doi.org/10.1007/BF02439658

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  • DOI: https://doi.org/10.1007/BF02439658

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2000 Mathematics Subject Classification

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