Stress intensity factors in a reinforced thick-walled cylinder

Abstract

In thispaperan elastic thick-walled cylinder containing a radial crack is considered. It is assumed that the cylinder is reinforcedby an elastic membrane on its inner surface. The model is intended to simulate pressure vessels with cladding. The formulationof the problem is reduced to a singular integral equation. Various special cases includingthat of a crack terminatingat the cylinder-reinforcement interface are investigated and numerical examples are given. Among the interestingresults found one may mention the following: In the case of the crack touching the interface the crack surface displacementderivativeis finite and consequentlythe stress state around the correspondingcrack tip is bounded, and generally,for realistic values of the stiffness parameter, the effect of the reinforcementis not very significant.