Shear wave scattering from a partially debonded piezoelectric cylindrical inclusion

The scattering of SH wave by a cylindrical piezoelectric inclusion partially debonded from its surrounding piezoelectric material is investigated using the wave function expansion method and singular integral equation technique. The debonding regions are modeled as multiple arc-shaped interface cracks with non-contacting faces. By expressing the scattered fields as wave function expansions with unknown coefficients, the mixed boundary value problem is firstly reduced to a set of simultaneous dual series equations. Then dislocation density functions are introduced as unknowns to transform these dual series equations into Cauchy singular integral equations of the first type, which can be numerically solved easily. The solution is valid for axbitrary number and size of the debonds. Finally, numerical results of the dynamic stress intensity factors axe presented for the cases of one debond and two debonds. The effects of incidence direction, crack configuration and various material parameters on the dynamic stress intensity factors are respectively discussed. The solution of this problem is expected to find applications in the investigation of dynamic fracture properties of piezoelectric materials with cracks.