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The problem of an external circular crack under asymmetric loadings

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Abstract

Using the boundary integral equation method, the problem of an external circular crack in a three-dimensional infinite elastic body under asymmetric loadings is investigated. The two-dimensional singular boundary integral equations of the problem were reduced to a system of Abel integral equations by means of Fourier series and hypergeometric functions. The exact solutions of stress intensity factors are obtained for the problem of an external circular crack under asymmetric loadings, which are even more universal than the results obtained by the use of Hankel transform method. The results demonstrate that the boundary integral equation method has great protential as a new analytic method.

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Authors and Affiliations

  1. Department of Mechanics, Lanzhou University, 730000, Lanzhou, P R China

    Wang Yin-bang

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  1. Wang Yin-bang
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Paper from WANG Yin-bang, Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China ((98) 19810760157); the West Foundation of Ministry Education of China ([1997]959)

Biography: WANG Yin-bang (1956-), Professor, Doctor, Doctor Director

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Yin-bang, W. The problem of an external circular crack under asymmetric loadings. Appl Math Mech 22, 10–16 (2001). https://doi.org/10.1007/BF02437940

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  • DOI: https://doi.org/10.1007/BF02437940

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