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Problem of an infinite solid containing a flat annular crack under torsion

โœ Scribed by H.T. Danyluk; B.M. Singh

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
311 KB
Volume
24
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

An analytic method is developed to find the axisymmetric stress distribution in an infinite elastic solid containing a flat annular crack under axial torsion. By use of Hankel transforms, the solution to the problem is reduced to triple-integral equations involving Bessel functions of order 1. Modifying the method discussed by Cooke[Quavr. J. Mech. Appl. Math. 16, 193-203 (1963).], the solution of the triple-integral equations is reduced to a pair of Fredholm integral equations of the second kind. Finally, the approximate expressions for the stress intensity factors are obtained by finding the iterative solution of the pair of Fredholm integral equations.

๐Ÿ“œ SIMILAR VOLUMES

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The problem of singular stresses in an infinite elastic solid containing a spherical cavity and a flat annular crack subjected to axial tension is considered. By application of an integral transform method and the theory of triple integral equations the problem is reduced to that of solving a singul

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The paper deals with the problem of finding the stress distribution near an annular crack located at the interface of two bonded dissimilar elastic solids. The crack is opened by the interaction of a torsional wave incident normally on the annular crack. The problem is reduced to the solution of thr