Scattering of SH-wave by a circular cavity near the vertical boundary in the piezoelectric bi-material half-space

Zhang Ximeng; Qi Hui; Xiang Meng

doi:10.11883/1001-1455(2017)04-0591-09

Volume 37 Issue 4

May 2017

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Zhang Ximeng, Qi Hui, Xiang Meng. Scattering of SH-wave by a circular cavity near the vertical boundary in the piezoelectric bi-material half-space[J]. Explosion And Shock Waves, 2017, 37(4): 591-599. doi: 10.11883/1001-1455(2017)04-0591-09

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Zhang Ximeng, Qi Hui, Xiang Meng. Scattering of SH-wave by a circular cavity near the vertical boundary in the piezoelectric bi-material half-space[J]. Explosion And Shock Waves, 2017, 37(4): 591-599. doi: 10.11883/1001-1455(2017)04-0591-09

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Scattering of SH-wave by a circular cavity near the vertical boundary in the piezoelectric bi-material half-space

doi: 10.11883/1001-1455(2017)04-0591-09

College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China

Received Date: 2015-11-24
Rev Recd Date: 2016-06-27
Publish Date: 2017-07-25

Abstract

Abstract

The scattering of the SH-wave by a circular cavity near the vertical boundary in the piezoelectric bi-material half-space was analyzed using the Green function method and the mirror method to obtain the steady state response. The analytical expression of the wave function was obtained on the horizontal boundaries using the mirror method. This function was the stress-free and electric-displacement-free. According to the continuity condition on the vertical boundary, the first kind of Fredholm integral equations were established, thereby obtaining the analytical expression of the dynamic stress concentration factor and the electric field intensity concentration factor around the edge of the circular cavity by the conjunction method. The influence of the frequencies of the incident wave, the incident angle and the media parameter, etc., on the dynamic stress concentration factor and the electric field intensity concentration factor was examined and compared with existing literatures using calculating examples. The numerical results show that serious damage occurs when the high-frequency incident SH wave comes in vertically.
- half space,
- piezoelectric bi-material,
- circular cavity,
- SH wave,
- dynamic stress concentration factor,
- electric field intensity concentration factor

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