Stress intensity factors of a radial crack in a compound disk subjected to concentrated forces

Abstract

A compound disk or compound cylinder containing a radial crack, subjected to general concentrated forces, is studied and the stress intensity factors of the crack are calculated. In the approach, the uncracked compound disk solution is sought first using Muskhelishvili's complex variable method, and then by superposition with the uncracked geometry solution, the crack problem may be reduced to a perturbation case. By integrating the corresponding dislocation solution, the stress intensity factors of the crack can be formulated in terms of the solution of a singular integral equation, and evaluated accurately by virtue of a collocation technique. Extensive results are given in tabular form. For crack tip contact cases, the contact lengths are also calculated.