An analytical solution for hollow cylinders under temporary torsional strain that includes several fractures and an orthotropic coating

Abstract

In this study, an analytical solution is used to strengthen a hollow cylinder bar with an orthotropic coating and is subjected to short-term torsional loading. First, the Fourier transform is used to find the stress field of a hollow circular bar with an orthotropic coating and a Volterra-type screw dislocation. Next, using the distributed dislocation approach, the issue is reduced to a set of integral equations with a Cauchy singularity in the domain. By analyzing the integral equations, the elements influencing stress intensity at the solitary fracture points and torsional rigidity are found. Lastly, a number of examples are provided to show how the orthotropic coating affects the domain under consideration's torsional rigidity and dynamic stress intensity characteristics.