材料各向异性对热弹性接触问题的影响

Effect of Anisotropy on Thermoelastic Contact Problem

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Fouri-er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.

The stationary plane contact of an inflated rigid punch and a haft-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.