Abstract
The present work deals with the study of the stress field in an infinite homogeneous and isotropic medium containing a cylindrical cavity and an exterior crack (i.e. a crack occupying the region outside a circle) subject to internal pressure. The problem, considered within the framework of the infinitesimal theory of elasticity, is formulated in terms of a pair of dual integral equations involving Bessel functions of the first kind and the second kind. Similar equations have been discussed by the authors, Srivastav [1, 2] and Narain [3]. The techniques of these papers are suitably modified to reduce the dual equations to a single Fredholm's integral equation of the second kind. The integral equation of the Fredholm type is then solved numerically and the result is used to compare the crack energy corresponding to different crack sizes for a special type of internal pressure inside the crack.
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