Scattering of SH Guided Waves by a Semicircular Depression and a Linear Crack in a Strip Piezoelectric Medium

Abstract

The scattering problem of the steady-state 0-order SH guided wave with a semicircular dip at the boundary of a zoning piezoelectric field and a linear crack in the inner plate is investigated using the complex variable function method, multiple coordinate method, and Green’s function. The guided wave expansion method is utilized in the construction of the SH guided wave, and the multiple mirror method is utilized to fulfill the requirements of stress freedom and electrical insulation. Under the time harmonic load with a semicircular depression in the zonal piezoelectric field, Green’s function represents the fundamental solution. By using the crack cutting method, it is possible to calculate the dynamic stress concentration factor and dynamic stress intensity factor values of the crack tip when both the crack and semicircle sag engage in joint action. The DSCF of a semicircular concave edge and the DSIF of a linear crack are studied in terms of the influence of various piezoelectric parameters, including wave number, crack length, and band domain thickness. The results indicate that it is important to study low frequency, make reasonable selections for piezoelectric parameters, and consider the length of a linear crack when dealing with the interaction between zonal piezoelectric materials with a semicircular sag and a linear crack.