IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND MATHEMATICAL THEORY (IJCSMT )

E-ISSN 2545-5699
P-ISSN 2695-1924
VOL. 10 NO. 6 2024
DOI: 10.56201/ijcsmt.v10.no6.2024.pg59.72

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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.

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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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