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Contact problem for bonded nonhomogeneous materials under shear loading

Author

Listed:
  • B. M. Singh
  • J. Rokne
  • R. S. Dhaliwal
  • J. Vrbik

Abstract

The present paper examines the contact problem related to shear punch through a rigid strip bonded to a nonhomogeneous medium. The nonhomogeneous medium is bonded to another nonhomogeneous medium. The strip is perpendicular to the y -axis and parallel to the x -axis. It is assumed that there is perfect bonding at the common plane surface of two nonhomogeneous media. Using Fourier cosine transforms, the solution of the problem is reduced to dual integral equations involving trigonometric cosine functions. Later on, the solution of the dual integral equations is transformed into the solution of a system of two simultaneous Fredholm integral equations of the second kind. Solving numerically the Fredholm integral equations of the second kind, the numerical results of resultant contact shear are obtained and graphically displayed to demonstrate the effect of nonhomogeneity of the elastic material.

Suggested Citation

  • B. M. Singh & J. Rokne & R. S. Dhaliwal & J. Vrbik, 2003. "Contact problem for bonded nonhomogeneous materials under shear loading," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:695098
    DOI: 10.1155/S0161171203211480
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