Abstract：The scattering of elastic waves is an important
method in researching the defects and parameter of
materials.Many applications in industry utilize a piezoelectric
layered composite plate with a crack.
In this paper, the scattering of SH wave by a finite crack in a
piezoelectric strip is considered(shown in Figure$1$). The
piezoelectric layer is bonded between two half plate of
functionally grated materials(FGMs). The shear modulus and the
mass density of FGMs are assumed to be of exponential form, and
the crack is vertical to the interfaces. Based on the Fourier
integral transform and the boundary conditions, the solution is
obtained in terms of a
Cauchy singular integral equation. The Cauchy singular integral equation
can be solved by the approximation of Chebyshev polynomials. Numerical results for
the normalized dynamic stress intensive factors (NDSIF) are carried out for an example. The effects of
geometric parameters and frequency of SH wave on the NDSIF
are plotted out and discussed.
2010, Vol. 31 
