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Scattering of SH-wave by cracks originating at an elliptic hole and dynamic stress intensity factor

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Abstract

The method of complex function and the method of Green's function are used to investigate the problem of SH-wave scattering by radial cracks of any limited length along the radius originating at the boundary of an elliptical hole, and the solution of dynamic stress intensity factor at the crack tip was given. A Green's function was constructed for the problem, which is a basic solution of displacement field for an elastic half space containing a half elliptical gap impacted by anti-plane harmonic linear source force at any point of its horizontal boundary. With division of a crack technique, a series of integral equations can be established on the conditions of continuity and the solution of dynamic stress intensity factor can be obtained. The influence of an elliptical hole on the dynamic stress intensity factor at the crack tip was discussed.

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Author information

Authors and Affiliations

  1. School of Civil Engineering, Harbin Engineering University, 150001, Harbin, P. R. China

    Liu Dian-kui Professor

  2. Department of Civil Engineering, Jinan University Guangzhou, 510632, P. R. China

    Chen Zhi-gang

Authors
  1. Liu Dian-kui Professor
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  2. Chen Zhi-gang
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Corresponding author

Correspondence to Chen Zhi-gang.

Additional information

Communicated by TANG LI-min, Orginal Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China (59578003)

Biographies: LIU Dian-kui (1937~); CHEN Zhi-gang

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Dian-kui, L., Zhi-gang, C. Scattering of SH-wave by cracks originating at an elliptic hole and dynamic stress intensity factor. Appl Math Mech 25, 1047–1056 (2004). https://doi.org/10.1007/BF02438354

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  • DOI: https://doi.org/10.1007/BF02438354

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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