The scattering problem of SH-wave by an elliptical inclusion in bi-material half space with beeline crack was investigated by using Green’s function and complex function method with conformal mapping method and the analytical solution was given. Firstly. the conformal mapping method, which was used to map the outside region of elliptical inclusion into circular region, and image method are employed here to construct the scattering wave function, which satisfies the condition of stress free on the straight boundaries. Secondly, with the aid of crack-division technique, the beeline crack was constructed and expression of displacement and stress field were given while both crack and elliptical inclusion exist. Finally, interface conjunction method was employed by adding unknown force system on the conjunction section to satisfy the continuity of displacement and stress. The integral equation to determine the unknown the force system was establish according to the continuity condition and solved by truncation method. The distribution of dynamic stress concentration factor(DSCF) on the edge of the elliptical inclusion were presented by some examples and results show that the crack was able to effect the distribution of DSCF.
Key words
bi-material half space /
elliptical inclusion /
beeline crack /
conformal mapping /
dynamic stress concentration factor(DSCF)
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