Analysis of multiple axisymmetric annular cracks

Abstract

The solution of axisymmetric Volterra climb and glide dislocations in an infinite domain is obtained by means of the Hankel transforms. The distributed dislocation technique is used to construct integral equations for a system of coaxial annular cracks where the domain is under axisymmetric tensile load. These equations are solved numerically to obtain the dislocation density on the surfaces of the cracks. The dislocation densities are employed to determine stress intensity factors for annular and penny-shaped cracks.