Dynamic Anti-plane Behavior On Two Dissimilar Piezoelectric Media With An Interfacial Non-circular Cavity

The scattering problems of SH-waves are studied in this paper by the non-circular cavity in the two-phase interface of piezoelectric originating diametrically at the cavity edge in the field of linearly elastic dynamic mechanics. The formulae are based on the method of complex variable and Green's function. The Green's function is an essential solution to displacement field and electricity potential field for piezoelectric half space with an arbitrary-shape-canyon impacted by anti-plane harmonic line source loading at horizontal surface. Then we consider the problem as a "conjunction" problem:According to the solutions for wave problem in interface between two conjunctive homogeneous piezoelectric half-spaces as well as the scattering problem of SH-waves by non-circular homogeneous material, we divide the piezoelectric space with an interface cavity into two parts along the interface, each is piezoelectric half space with non-circular cavity. And then dividing surfaces are loaded with undetermined anti-plane forces. A series of Fredholm integral equations of first kind of for determining the unknown forces can be set up through continuity and stress conditions that are expressed in terms of the Green's function. As an example of calculation, numerical calculations of the piezoelectric media with an elliptic cavity are made with different wave numbers and different piezoelectric characteristic parameters. The calculating results show that, dynamic analyses are very important to piezoelectric media with a hole at lower frequencies and large piezoelectric characteristic parameters.