材料各向异性对热弹性接触问题的影响

S·P·马瑞克; M·卡诺瑞; P·K·乔德辉

材料各向异性对热弹性接触问题的影响

1.
戈巴丹格欣达学院数学系,西孟加拉邦,印度;2.加尔各答大学应用数学系,加尔各答_700009,印度

详细信息

中图分类号: O343.3；O343.6
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出版历程
- 收稿日期: 2007-10-15
- 修回日期: 2007-12-31
- 刊出日期: 2008-04-15

Effect of Anisotropy on Thermoelastic Contact Problem

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

摘要

摘要: 研究一个绝热刚性冲头和各向异性弹性传热半空间之间的稳态平面接触问题．由于冲头在半空间表面上的滑移，在接触区域内摩擦生热，并且热辐射到接触区域之外的区域．利用Fourier积分变换，将问题简化为两个奇异积分方程构成的方程组．利用Gauss-Jacobi梯形求积公式，数值地求解该方程组．给出了各向异性和热效应的图例．
- 横观各向同性介质 /
- Fourier变换 /
- 摩擦热 /
- 冲头 /
- 热辐射 /
- 奇异积分方程 /
- Fredholm积分方程
Abstract: The stationary plane contact of an insulated rigid punch and a half-space which is elastically anisotropic but thermally conducting are concerned with.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 was reduced to a system of two singular integral equations.The equations were solved numerically by using Gauss-Jacobi and trapezoidal-rule quadratures.The effects of anisotropy and thermal effects were shown graphically.
- transversely isotropic medium /
- Fourier transform /
- frictional heating /
- punch /
- heat radiation /
- singular integral equation /
- Fredholm integral equation

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参考文献(37)

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