In this study, a problem of a ring shaped-crack contained in a infinitely l
ong solid cylinder of elastic perfectly-plastic material is considered.The
problem is formulated for a tranversely isotropic matrial by using integral
transform technique under uniform load. Due to the geometry of the configu
ration, 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 various for discrete points. The plastic zone widths are
obtained by using the plastic strip model. They are plotted for various ri
ng-shaped crack sizes and transversely isotropic matrials. It is found that
the width of the plastic zone at the inner tip of the crack is greater tha
n the outer one.