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Effect of anisotropy on thermoelastic contact problem

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Abstract

This paper is concerned with the stationary plane contact of an insulated rigid punch and a half-space which is elastically anisotropic but thermally conducting. The frictional heat generation inside the contact region due to the sliding of the punch over the half-space surface and the heat radiation outside the contact region are taken into account. With the help of Fourier integral transform, the problem is reduced to a system of two singular integral equations. The equations are solved numerically by using Gauss-Jacobi and trapezoidal-rule quadratures. The effects of anisotropy and thermal effects are shown graphically.

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Authors and Affiliations

  1. Departmemt of Mathematics, Gobardanga Hindu College, Khantura, 24-Parganas (N), West Bengal, India

    Sakti Pada Barik

  2. Department of Applied Mathematics, University of Calcutta, 92, A. P. C. Road, Kolkata, 700009, India

    M. Kanoria & P. K. Chaudhuri

Authors
  1. Sakti Pada Barik
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  2. M. Kanoria
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  3. P. K. Chaudhuri
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Corresponding author

Correspondence to P. K. Chaudhuri.

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Communicated by GUO Xing-ming

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Barik, S.P., Kanoria, M. & Chaudhuri, P.K. Effect of anisotropy on thermoelastic contact problem. Appl. Math. Mech.-Engl. Ed. 29, 501–510 (2008). https://doi.org/10.1007/s10483-008-0408-z

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  • DOI: https://doi.org/10.1007/s10483-008-0408-z

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2000 Mathematics Subject Classification

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