Torsion analysis of cracked circular bars actuated by a piezoelectric coating

Abstract

This study presents a formulation for a bar with circular cross-section, coated by a piezoelectric layer and subjected to Saint-Venant torsion loading. The bar is weakened by a Volterra-type screw dislocation. First, with aid of the finite Fourier transform, the stress fields in the circular bar and the piezoelectric layer are obtained. The problem is then reduced to a set of singular integral equations with a Cauchy-type singularity. Unknown dislocation density is achieved by numerical solution of these integral equations. Numerical results are discussed, to reveal the effect of the piezoelectric layer on the reduction of the mechanical stress intensity factor in the bar.

Saint-Venant torsion of orthotropic piezoelectric elliptical bar

“…It must be mentioned that in [26] the solution of the Saint-Venant problem for a general anisotropic homogeneous cylinder with circular cross section has been derived in closed form. Hassani and Fae [27] dealt with a circular bar which is coated by a piezoelectric layer and subjected to Saint-Venant torsional loading. The considered circular bar is weakened by a Volterra-type screw dislocation.…”