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The study of quadruple integral equations involving inverse Mellin transforms and its application to a contact problem for a wedge shaped elastic solid in antiplane shear distribution
Authors:B M Singh  J Rokne  R S Dhaliwal
Institution:(1) Department of Computer Science, The University of Calgary, Calgary, AB, T2N-1N4, Canada;(2) Department of Mathematics, The University of Calgary, Calgary, AB, T2N-1N4, Canada
Abstract:Closed form solution of quadruple integral equations involving inverse Mellin transforms has been obtained. The solution of quadruple integral equations is used in solving a two dimensional four-part mixed boundary value contact problem for an elastic wedge-shaped region as an application. Closed form expression for shear stress has been obtained. Finally, numerical results for shear stress are obtained and shown graphically.
Keywords:Triple integral equations  Fredholm integral equation  Elastic problem
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