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Singular integral equations and boundary element method of cracks in thermally stressed planar solids

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Abstract

Using the method of the boundary integral equation, a set of singular integral equations of the heat transfer problems and the thermo-elastic problems of a crack embedded in a two-dimensional finite body is derived, and then its numerical method is proposed by the numerical method of the singular integral equations combined with boundary element method. Moreover, the singular nature of temperature gradient field near the crack front is proved by the main-part analysis method of the singular integral equation, and the singular temperature gradients are exactly obtained. Finally, several typical examples are calculated.

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Authors and Affiliations

  1. Department of Basic Sciences, China Agricultural University, 100083, Beijing, P R China

    Xu Chunhui Lecturer, Master of Science, Qin Taiyan & Hua Yunlong

Authors
  1. Xu Chunhui Lecturer, Master of Science
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  2. Qin Taiyan
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  3. Hua Yunlong
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Additional information

Communicated by Wang Yinbang

Foundation item: the National Natural Science Foundation of China (19672010)

Biography: Xu Chunhui (1971-)

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Chunhui, X., Taiyan, Q. & Yunlong, H. Singular integral equations and boundary element method of cracks in thermally stressed planar solids. Appl Math Mech 21, 399–406 (2000). https://doi.org/10.1007/BF02463761

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  • DOI: https://doi.org/10.1007/BF02463761

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