Analytical solution to the SH wave scattering problem caused by a circular cavity in a half space with inhomogeneous modulus

被引:7
作者
Bian, Jinlai [1 ]
Yang, Zailin [1 ,2 ]
Jiang, Guanxixi [1 ]
Yang, Yong [1 ,2 ]
Sun, Menghan [1 ,2 ]
机构
[1] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China
[2] Harbin Engn Univ, Minist Ind & Informat Technol, Key Lab Adv Mat Ship & Mech, Harbin, Peoples R China
基金
中国国家自然科学基金; 国家重点研发计划;
关键词
SH wave; Inhomogeneous shear modulus; Complex function; Conformal mapping technique; Stress concentration;
D O I
10.1007/s11012-021-01313-7
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this work, the scattering problem of SH wave caused by circular cavity in half space with inhomogeneous shear modulus is solved. The shear modulus is assumed to vary in two dimensions. Based on the complex function theory and conformal mapping technique, the analytical expressions of the displacement field and stress field in half space are obtained. The unknown coefficient is determined according to the boundary condition. The numerical results show that the inhomogeneous parameters, the reference wave number, and the buried depth of the cavity have obvious effects on the displacement amplitude of the horizontal surface and the stress concentration around the circular cavity.
引用
收藏
页码:705 / 709
页数:5
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