Plastic zones in an infinitely long transversely isotropic solid cylinder containing a ring-shaped crack

ABSTRACT In this study, a problem of an infinitely long solid cylinder containing a ring shaped-crack is considered. The ring-shaped crack is embedded in the mid-plane of the infinite cylinder. The problem is formulated for a transversely isotropic material by using integral transform technique and solved under the effect of uniform load. Due to the geometry of the configuration, Hankel and Fourier integral transform techniques are chosen and the problem is reduced to a singular integral equation. This integral equation is solved numerically by using Gaussian Quadrature Formulae and the values are evaluated for discrete points. The plastic zone widths are obtained by using the plastic strip model. They are plotted for various ring-shaped crack sizes and transversely isotropic materials. Keywords: Transversely isotropic material, ring-shaped crack, singular integral equations, plastic zone. W