Effect of anisotropy on thermoelastic contact problem  被引量:2

Effect of anisotropy on thermoelastic contact problem

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作  者:Sakti Pada Barik M.Kanoria P.K.Chaudhuri 

机构地区:[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

出  处:《Applied Mathematics and Mechanics(English Edition)》2008年第4期501-510,共10页应用数学和力学(英文版)

摘  要: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.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.

关 键 词:transversely isotropic medium Fourier transform frictional heating PUNCH heat radiation singular integral equation Fredholm integral equation 

分 类 号:O343.6[理学—固体力学]

 

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