Crack analysis of circular bars reinforced by a piezoelectric layer under torsional transient loading

摘要

In this article, the transient response of a cylinder, with a piezoelectric coating, weakened by multiple radial cracks is investigated. The problem is under torsional transient loading. First, the solution of the problem, weakened by a Volterra-type screw dislocation, is achieved by using Laplace and the finite Fourier sine transform. The solution is obtained for displacement and stress fields in the bar with a piezoelectric layer. At the next step, the dislocation solution is used to derive a set of Cauchy singular integral equations for analysis of bars with a circular cross section containing some radial cracks. The solution of the singular integral equations is used to determine the torsional rigidity of the cross section and also the stress intensity factors of the crack tips. In addition, several examples are presented to show the effect of the piezoelectric coating and torsional transient loading on the stress intensity factors and torsional rigidity of the system.