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Analysis of multiple interfacial cracks in three-dimensional bimaterials using hypersingular integro-differential equation method

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Abstract

By using the concept of finite-part integral, a set of hypersingular integro-differential equations for multiple interfacial cracks in a three-dimensional infinite bimaterial subjected to arbitrary loads is derived. In the numerical analysis, unknown displacement discontinuities are approximated with the products of the fundamental density functions and power series. The fundamental functions are chosen to express a two-dimensional interface crack rigorously. As illustrative examples, the stress intensity factors for two rectangular interface cracks are calculated for various spacing, crack shape and elastic constants. It is shown that the stress intensity factors decrease with the crack spacing.

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Authors and Affiliations

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

    Chun-hui Xu  (徐春晖), Tai-yan Qin  (秦太验) & Li Yuan  (袁丽)

  2. Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu, 804-8550, Japan

    Nao-Aki Noda  (野田尚昭)

Authors
  1. Chun-hui Xu  (徐春晖)
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  2. Tai-yan Qin  (秦太验)
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  3. Li Yuan  (袁丽)
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  4. Nao-Aki Noda  (野田尚昭)
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Corresponding author

Correspondence to Chun-hui Xu  (徐春晖).

Additional information

(Communicated by Xing-ming GUO)

Project supported by the National Natural Science Foundation of China (No. 10872213)

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Xu, Ch., Qin, Ty., Yuan, L. et al. Analysis of multiple interfacial cracks in three-dimensional bimaterials using hypersingular integro-differential equation method. Appl. Math. Mech.-Engl. Ed. 30, 293–301 (2009). https://doi.org/10.1007/s10483-009-0303-z

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  • DOI: https://doi.org/10.1007/s10483-009-0303-z

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Chinese Library Classification

2000 Mathematics Subject Classification

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