Abstract
Dynamic incident anti-plane shearing (SH-guided wave) is considered to calculate dynamic stress in an infinite strip region with an elliptic inclusion. By the means of the conformal mapping method, the field of an ellipse can be transformed into a unit circle. With the aid of series expansion method, the expression of SH-guided wave is established, which satisfies the stress free condition on the upper and lower horizontal boundaries of the strip. The expression of scattering wave is conducted based on repeated image superpositions. Boundary conditions are solved by applying the orthogonal function expansion technique. Results clarified the influence on the dynamic stress concentration factor under proper conditions. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article.
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