Scattering of SH wave by multiple semi-cylindrical depressions in an elastic strip

QI Hui; YANG Runjie; GUO Jing; QU Enxiang

doi:10.11883/bzycj-2019-0398

Volume 40 Issue 10

Oct. 2020

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QI Hui, YANG Runjie, GUO Jing, QU Enxiang. Scattering of SH wave by multiple semi-cylindrical depressions in an elastic strip[J]. Explosion And Shock Waves, 2020, 40(10): 102201. doi: 10.11883/bzycj-2019-0398

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QI Hui, YANG Runjie, GUO Jing, QU Enxiang. Scattering of SH wave by multiple semi-cylindrical depressions in an elastic strip[J]. Explosion And Shock Waves, 2020, 40(10): 102201. doi: 10.11883/bzycj-2019-0398

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Scattering of SH wave by multiple semi-cylindrical depressions in an elastic strip

doi: 10.11883/bzycj-2019-0398

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

Received Date: 2019-10-17
Rev Recd Date: 2020-07-02
Publish Date: 2020-10-05

Abstract

Abstract

The scattering of steady-state shear horizontal (SH) guided waves from the elastic strip media with multiple semi-cylindrical depressions on the surface was studied and the analytical solution was given. Firstly, the guided wave expansion method was used to construct SH guided waves. Then, the scattered waves satisfying the zero-stress boundary conditions of the upper and lower surfaces in the strip were constructed by employing the repeated image method. Finally, according to the condition that the shear stress of the edge of the depression is zero, the definite solution equation was derived. The accuracy of repeated image method, the dynamic stress concentration around a depression and the displacement amplitude at the upper and lower boundaries were analyzed by examples. The numerical results show that when there is only one depression, the incident waves with middle and high frequency and the strip with small thickness cause higher dynamic stress concentration around the depression, and the maximum displacement amplitude of the upper boundary occurs near the incident surface of the depression. When there are two depressions, in most cases, the second depression amplifies the dynamic stress concentration around the first depression. And in the ideal elastic strip, even if the two depressions are infinitely far apart, the influence between them still exists.
- SH wave,
- elastic strip,
- semi-cylindrical depression,
- dynamic stress concentration,
- displacement amplitude

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References(17)

References

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