The diffraction of time harmonic SH-wave by an elliptic inclusion near vertical interface in a bi-material half-space is considered by using complex function and Green's function methods. Firstly, conformal mapping method is used to map the outer boundary of elliptic inclusion into a unit circle in order to construct the expression of scattering wave. With the rid of image method, the Green's function in 1/4 space is constructed. Secondly, the interface "conjunction" technique is utilized to obtain a series of Fredholm integral equations of first kind containing unknown forces at the interface. The integral equations are reduced to a system of algebraic equations and solved numerically by using the effective truncation. Finally, numerical results demonstrate that verticlal interface, incident angle, incident wave number, medium parameters under consideration are indeed capable of effecting the DSCF of the inclusion.
Key words
SH-wave /
vertical interface /
elliptic inclusion /
conformal mapping /
dynamic stress concentration factor (DSCF)
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Footnotes
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