›› 2012, Vol. 33 ›› Issue (3): 899-905.

• Numerical Analysis • Previous Articles     Next Articles

Dynamic stress concentration around shallow cylindrical cavity by SH wave in anisotropically elastic half-space

CHEN Zhi-gang1, 2   

  1. 1. Department of Mechanics and Civil Engineering, Jinan University, Guangzhou 510632, China； 2. Key Laboratory of Disaster Forecast and Control in Engineering, Ministry of Education, Jinan University, Guangzhou 510632, China
  • Received:2010-10-18 Online:2012-03-10 Published:2012-03-12

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Abstract: The problem of dynamic stress concentration around a shallow cylindrical cavity incident by steady-state shear horizontal SH wave in an anisotropically elastic half-space ware solved; and the rules that anisotropy of the medium influenced dynamic stress concentration around the cavity were investigated. By using the function of complex variable and multi-polar coordinate system, we constructed scattering wave function of the cylindrical cavity, which automatically satisfied the zero-stress boundary condition on the horizontal surface in elastic half-space and the Sommerfeld radiation condition at infinity. According to zero-stress boundary condition of the cylindrical cavity, we solved coefficients of the scattering wave function by least square method. Finally, the effects of different media characteristics, wave numbers, and embedded depth on dynamic stress concentration factors around the cylindrical cavity were analyzed, when SH wave incident with different angles. Numerical results show that: the dynamic stress concentration factor around cylindrical cavity increases obviously in anisotropically elastic half-space in contrast with isotropic one.

Key words: anisotropy, SH wave scattering, shallow cylindrical cavity, dynamic stress concentration factor, dynamic response

CLC Number: 

  • O347.3
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