Abstract
This article presents a formulation for a circular bar reinforced by an orthotropic coating containing multiple arbitrarily oriented cracks and cavities subjected to Saint-Venant torsional loading. First, the stress field of a circular bar with an orthotropic coating containing a Volterra-type screw dislocation is found via Fourier transform. At the next step, the problem is reduced to a set of integral equations with Cauchy singularity in the domain via distributed dislocation method. The integral equations are evaluated via a numerical approach to find the stress intensity factors of the singular crack tips, hoop stresses on cavities, and torsional rigidity of the cracked bar with its coating. In addition, von Mises yield criterion is used to find the boundary of the plastic zone via the stress filed around crack tips. Finally, there are multiple examples to indicate the efficiency and correctness of the current approach in torsion problems of cracked circular bars with an orthotropic coating.
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