Applied Mathematics and Mechanics

, Volume 7, Issue 1, pp 25–37 | Cite as

Diffraction of elastic waves in the plane multiply-connected region and dynamic stress concentration

  • Gai Bing-zheng


This paper deals with the problem of diffraction of elastic waves in the plane multiply-connected regions by the theory of complex functions. The complete function series which approach the solution of the problem and general expressions for boundary conditions are given. Then the problem is reduced to the solution to infinite series of algebraic equations and the solution can be directly obtained by using electronic computer. In particular for the case of weak interaction, an asymptotic method is presented here, by which the problem of p waves diffracted by a circular cavities is discussed in detail. Based on the solution of the diffracted wave field the general formulas for calculating dynamic stress concentration factor for a cavity of arbitrary shape in multiply-connected region are given.


Algebraic Equation Weak Interaction Elastic Wave Wave Field Complex Function 
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  1. [1]
    Pao, Y. H and C. C. Mow,Diffraction of Elastic Waves and Dynamic Stress Concentrations, Crane, Russak, New York, 1973.Google Scholar
  2. [2]
    Liu Diankui, Gai Bingzheng and Tao Guiyuan, On dynamic stress concentration in the neighbourhood of a cavity,ACTA Mechanica Sinica (Special Issue) (1981). (in Chinese)Google Scholar
  3. [3]
    Guge, L. N., B. D. Kubenko and M. A. Cailebko, Diffraction of elastic wave,Naukoba Dumka, Kief (1978). (in Russian).Google Scholar
  4. [4]
    Muskhelishvili, N. I.,Some Basic Problems of the Mathematical Theory of Elasticity, Press of Science and Technique, Beijing (1958). (Chinese version by H. Y. Zhao)Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1986

Authors and Affiliations

  • Gai Bing-zheng
    • 1
  1. 1.Harbin Institute of TechnologyHaerbing

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