Torsion analysis of a hollow cylinder with an orthotropic coating weakened by multiple cracks

This paper presents an analytical solution for an infinite hollow cylinder with an orthotropic coating containing multiple cracks under Saint-Venant torsion by means of the distribution dislocation technique. First, the solution of a hollow cylinder with an orthotropic coating weakened by a Volterra-type screw dislocation is achieved with the aid of the finite Fourier sine transform. Next, the problem is reduced to a set of singular integral equations with a Cauchy type kernel in the hollow cylinder by using distribution dislocation technique. The singular integral equations are then solved numerically and the stress intensity factors of the crack tips and torsional rigidity in the whole domain are also obtained. Finally, several examples are presented to show the accuracy and efficiency of the dislocation technique in Saint-Venant torsion problems.