Scattering of SH-wave by a circular lining and a semi-circular canyon near vertical interface crack in the bi-material half space

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (20) : 137-145.

Zhangxi-meng,Qi hui,Xiang-meng,Dingxiao-hao

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Abstract

The scattering problem of SH-wave by a circular lining and a semi-circular canyon in the bi-material half space is analyzed by the Green function method, mirror method and multi - level coordinate method to obtain the steady state response. The analytical expression of wave function which satisfies the stress free on the horizontal boundaries, displacement and stress continuity on the vertical boundaries is obtained by the image method. According to the continuity condition on the vertical boundary, the first kind of Fredholm integral equation is set up to obtain analytical expression of dynamic stress concentration factor around the edge of circular lining and dynamic stress intensity factor at crack tip by “the conjunction method” and “the crack-division method”. The influence of the incident wave number, the ground depth of circular lining and the size of semi-circular canyon and the length of crack on the dynamic stress concentration factor, the dynamic stress intensity factor and the displacement along horizontal surface is analyzed and compared with the existed literature through a numerical example.

Key words

half space / circular lining / semi-circular canyon / Green function / dynamic stress concentration factor (DSCF) / dynamic stress intensity factor(DSIF)

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Zhangxi-meng,Qi hui,Xiang-meng,Dingxiao-hao. Scattering of SH-wave by a circular lining and a semi-circular canyon near vertical interface crack in the bi-material half space[J]. Journal of Vibration and Shock, 2017, 36(20): 137-145

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