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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 1047-1056.

• 论文 • 上一篇    下一篇

SCATTERING OF SH-WAVE BY CRACKS ORIGINATING AT AN ELLIPTIC HOLE AND DYNAMIC STRESS INTENSITY FACTOR

刘殿魁1, 陈志刚2   

  1. 1. School of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China;
    2. Department of Civil Engineering, Jinan University, Guangzhou 510632, P. R. China
  • 收稿日期:2002-05-20 修回日期:2004-04-24 出版日期:2004-09-18 发布日期:2004-09-18
  • 通讯作者: CHEN Zhi-gang(Corresponding author,Tel:+86-20-85222190,13929560236;Fax: +86-20-85220732;E-mail:tchzg@jnu.edu.cn) E-mail:tchzg@jnu.edu.cn
  • 基金资助:

    the National Natural Science Foundation of China(59578003)

SCATTERING OF SH-WAVE BY CRACKS ORIGINATING AT AN ELLIPTIC HOLE AND DYNAMIC STRESS INTENSITY FACTOR

LIU Dian-kui1, CHEN Zhi-gang2   

  1. 1. School of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China;
    2. Department of Civil Engineering, Jinan University, Guangzhou 510632, P. R. China
  • Received:2002-05-20 Revised:2004-04-24 Online:2004-09-18 Published:2004-09-18
  • Supported by:

    the National Natural Science Foundation of China(59578003)

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摘要： 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.

关键词: crack originating at elliptical hole, SH-wave scattering, (Green’s) function, dynamic stress intensity factor (DSIF), complex function, integral equation

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.

Key words: crack originating at elliptical hole, SH-wave scattering, (Green’s) function, dynamic stress intensity factor (DSIF), complex function, integral equation

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