Gai Bing-zheng. Diffraction of Elastic Waves in the Plane Multiply-Connected Region and Dynamic Stress Concentration[J]. Applied Mathematics and Mechanics, 1986, 7(1): 25-36.
 Citation: Gai Bing-zheng. Diffraction of Elastic Waves in the Plane Multiply-Connected Region and Dynamic Stress Concentration[J]. Applied Mathematics and Mechanics, 1986, 7(1): 25-36.

# Diffraction of Elastic Waves in the Plane Multiply-Connected Region and Dynamic Stress Concentration

• Received Date: 1984-07-16
• Publish Date: 1986-01-15
• 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 ofp 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.
•  [1] Pao. Y. H. and C. C Mow, Diffraction of Elastic Waves and Dynamic Stress Concentrations, Crane,Russak, New York (1973). [2] 刘殷魁,盖秉政,陶贵源,论孔附近的动应力集中,力学学报特刊,(1981). [3] Гузб Л.Н,В.Д.Кубенко и М.А.Черевко,Дифракпия упругих золн,Наукова Думка,Киев,(1978) [4] Мусхелишвили Н.И,《数学弹性力学的几个基本问题》,赵惠元译,科学出版社,(1958).

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沈阳化工大学材料科学与工程学院 沈阳 110142

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