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On the Analysis of The Displacements in a Finite Isotropic Cracked Wedge Under Anti Plane Shear Deformation

Adimoha, B.A., Nnadi, J.N., Emenogu,G.N.& Osu,B.O.

Abstract

Afiniteisotropiccrackedwedgeunderantiplanesheardeformationwithacrackalong?= 0, 0 ? ??? and a concentrated tractionloadalongitsradialedgesisanalyzedwithparticularconsiderationgiventothedisplacemen tfieldseverywhereinthewedge.TheproblemisformulatedusingtheFiniteMellintransformofthesec ondkind,andthesolutionaccompaniedbyemployingtheWiener- Hopftechniquetoobtainaclosedformsolution.Itisfoundthatattheregioncontainingthecrack,there isnocontinuityofthedisplacementfields,whilecontinuityofthedisplacementfieldsexistsinotherreg ionsofthewedgematerial.

Keywords

FiniteMellintransform;Wiener-Holftechnique;Antiplaneshear;Isotrope.

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