Analysis of Stress Intensity Factors in Hollow Cylinders Reinforced by an Effective Coating Containing Multiple Cracks

In this paper, the solution of an isotropic hollow cylinder, with an isotropic coating, weakened by multiple radial cracks is studied. The hollow cylinder and its coating are under SaintVenant torsional loading. The series solution is then derived for displacement and stress fields in the cross section of the cylinder containing a Volterra-type screw dislocation. The dislocation solution is employed to derive a set of Cauchy singular integral equations for the analysis of multiple curved cracks. The solution to these equations is used to determine the torsional rigidity of the domain and the stress intensity factors (SIFs) for the tips of the cracks. Finally, several examples are presented to show the effect of the coating on the reduction of the mechanical stress intensity factor in the hollow cylinder.