Contact problem for bonded nonhomogeneous materials under shear loading

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2003-01-01
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Abstract
The present paper examines the contact problem related to shearpunch through a rigid strip bonded to a nonhomogeneous medium.The nonhomogeneous medium is bonded to another nonhomogeneousmedium. The strip is perpendicular to the y-axis and parallelto the x-axis. It is assumed that there is perfect bonding atthe common plane surface of two nonhomogeneous media. UsingFourier cosine transforms, the solution of the problem is reducedto dual integral equations involving trigonometric cosinefunctions. Later on, the solution of the dual integral equationsis transformed into the solution of a system of two simultaneousFredholm integral equations of the second kind. Solvingnumerically the Fredholm integral equations of the second kind,the numerical results of resultant contact shear are obtained andgraphically displayed to demonstrate the effect of nonhomogeneityof the elastic material.
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B. M. Singh, J. Rokne, R. S. Dhaliwal, and J. Vrbik, “Contact problem for bonded nonhomogeneous materials under shear loading,” International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 29, pp. 1821-1832, 2003. doi:10.1155/S0161171203211480