Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (4): 501-510 .doi: https://doi.org/10.1007/s10483-008-0408-z

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Effect of anisotropy on thermoelastic contact problem

Sakti Pada Barik, M. Kanoria, P. K. Chaudhuri   

    1. Departmemt of Mathematics, Gobardanga Hindu College, Khantura, 24-Parganas (N), West Bengal, India;
    2. Department of Applied Mathematics, University of Calcutta, 92, A. P. C. Road, Kolkata-700009, India
  • Received:2007-10-14 Revised:2007-12-31 Online:2008-04-18 Published:2008-04-18
  • Contact: P. K. Chaudhuri

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.

Key words: punch, heat radiation, singular integral equation, Fredholm integral equation, transversely isotropic medium, Fourier transform, frictional heating

2010 MSC Number: 

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