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Effect of anisotropy on thermoelastic contact problem
Authors:Sakti Pada Barik  M Kanoria  P K Chaudhuri
Institution:Departmemt of Mathematics, Gobardanga Hindu College, Khantura, 24-Parganas (N), West Bengal, India;Department of Applied Mathematics, University of Calcutta, 92, A. P. C. Road, Kolkata-700009, India
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.
Keywords:transversely isotropic medium  Fourier transform  frictional heating  punch  heat radiation  singular integral equation  Fredholm integral equation
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