Dynamic anti-plane analysis for an elliptic inclusion in an infinite piezoelectric strip

Abstract

Dynamic incident anti-plane shearing (SH guided wave) is considered to calculate dynamic stress and electric intensity in an infinite piezoelectric strip that contains 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 and electric insulation conditions on the upper and lower horizontal boundaries of the strip. The expression of scattering waves is conducted based on repeated image superposition. Boundary conditions are solved by applying the orthogonal function expansion technique. Results clarified the influence on the dynamic stress concentration factor and electric field intensity concentration factor under proper conditions.