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《Journal of Vibration and Shock》 2017-11
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Scattering of SH-wave caused by an elliptical inclusion and a beeline crack in bi-material half space

DING Xiaohao;QI Hui;ZHAO Yuanbo;College of Aerospace and Civil Engineering,Harbin Engineering University;  
The scattering problem of SH-wave caused by an elliptical inclusion and a beeline crack in bi-material half space was investigated using Green's function,the complex function method and the conformal mapping method,its analytical solution was derived. Firstly,the conformal mapping method was used to map the outside region of the elliptical inclusion into the outside region of a unit circle. The principle of image superposition was employed to construct the scattering wave displacement field satisfying two stress free line-boundary conditions of a right angle domain. Secondly,with the aid of the crack-division technique,a beeline crack was constructed. When there were both the crack and elliptical inclusion,displacement and stress fields in the right angle domain were deduced with the elastic superposition principle. Finally,the interface conjunction method was employed to add an unknown force system on the interface to satisfy continuity conditions of displacement and stress. The governing integral equation to solve the unknown force system was established according to the continuity conditions and solved with the finite truncated terms method. Distributions of dynamic stress concentration factor( DSCF) on the edge of the elliptical inclusion under different parameters were revealed in some examples. The results showed that the crack has an obvious effect on distributions of DSCF.
【Fund】: 黑龙江省自然科学基金(A201404)
【CateGory Index】: O347.41
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Chinese Journal Full-text Database 7 Hits
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【Co-citations】
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1 ZHANG Ximeng;QI Hui;XIANG Meng;DING Xiaohao;College of Aerospace and Civil Engineering,Harbin Engineering University;;Scattering of SH-wave by a circular lining and a semi-circular canyon near vertical interface crack in the bi-material half space[J];振动与冲击;2017-20
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