On the Analysis of The Displacements in a Finite Isotropic Cracked Wedge Under Anti Plane Shear Deformation
Abstract
Afiniteisotropiccrackedwedgeunderantiplanesheardeformationwithacrackalong?= 0, 0 ? ??? and a concentrated tractionloadalongitsradialedgesisanalyzedwithparticularconsiderationgiventothedisplacemen tfieldseverywhereinthewedge.TheproblemisformulatedusingtheFiniteMellintransformofthesec ondkind,andthesolutionaccompaniedbyemployingtheWiener- Hopftechniquetoobtainaclosedformsolution.Itisfoundthatattheregioncontainingthecrack,there isnocontinuityofthedisplacementfields,whilecontinuityofthedisplacementfieldsexistsinotherreg ionsofthewedgematerial.
Keywords
FiniteMellintransform;Wiener-Holftechnique;Antiplaneshear;Isotrope.
References
Choi,S.RandEarmme,Y.Y.(1990).AnalysisOfAKinkedCrackedIn Anti-PlaneShear,MechanicsOf Materials,9,195-204. Erdogan,F.andGupta,G.D.(1972).StressNearAFlatInclusionIn BondedDissilmilarMaterials,Int’l. J.OfSolidStructures,8,533-547. Gradshyten,andI.M.Ryzhik.(1nd965).TablesOfIntegrals,SeriesAnd Products,AcademicPress,NewYork. Karganovin,M.H.(2000).AnalysisOfADissimilarFiniteWedgeUnder Anti-PlaneDeformation,Mechanics ResearchCommunication,27(1),109-116. Karganovin,M.H,Shahani,A.R,andFariborz,S.J.(1997).AnalysisOfAn IsotropicFiniteWedgeUnderAnti-PlaneDeformation,Intl’.J.Of SolidStructures,34,113-128. Korn,G.AandKorn,T.M.(1968).MathematicalHandbookForScientists AndEngineers,DoverPublications,Inc.Mineola,NewYork. Ma,C.CandHour,B.(1990).AnalysisOfDissimilarAnisotropicWedges SubjectedToAnti-PlaneDeformation,Int’l.J.OfSolidStructures 25,1295-1309. Noble,B.(1958).MethodsBasesOnTheWiener-HopfTechniqueForThe SolutionsOfDifferentialEquations,PergamonPress,London. Oucheterlony,F.(1980).SymmetricCrackingOfAWedgeByTransverse Displacement,J.Elasticity,10,109-116. Shahani,A.R.(2007).OntheAnti-PlaneShearDeformationOfFinite Wedges,AppliedMathsModel,31,141-151. Shahani,A.RandAdibnazari,S.(2000).AnalysisOfBondedFiniteWedges WithAnInterfacialCrackUnderAnti-PlaneShearLoading,J.Of Maths.EngineeringScience,223,2213-2222. Spiegel,M.R.(2009).ComplexVariable,SchaumSeries,NewYork,174- Tranter,C.J.(1956).IntegralTransformsInMathematicalPhysics,Willey, NewYork.
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