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Interface crack between different orthotropic media under uniform heat flow

机译:均匀热流作用下不同正交各向异性介质之间的界面裂纹

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摘要

In this paper, plane thermo-elastic solutions are presented for the problem of a crack in two bonded homogeneous orthotropic media with a graded interfacial zone. The graded interfacial zone is treated as a nonhomogeneous interlayer having spatially varying thermo-elastic moduli between dissimilar, homogeneous orthotropic half-planes, which is assumed to vary exponentially in the direction perpendicular to the crack surface. Using singular integral equation method, the mixed boundary value conditions with respect to the temperature field and those with respect to the stress field are reduced to a system of singular integral equations and solved numerically. Numerical results are obtained to show the influence of non-homogeneity parameters of the material thermo-elastic properties, the orthotropy parameters and the dimensionless thermal resistance on the temperature distribution and the thermal stress intensity factors.
机译:在本文中,提出了平面热弹性解决方案,以解决两个具有梯度界面区域的均质正交各向异性介质中的裂纹问题。渐变的界面区域被视为非均匀的中间层,在不同的均匀正交各向异性半平面之间具有空间变化的热弹性模量,假定该平面在垂直于裂纹表面的方向上呈指数变化。使用奇异积分方程方法,将温度场和应力场的混合边界值条件简化为奇异积分方程组,并进行数值求解。数值结果表明,材料非均匀性参数的热弹性,正交各向异性参数和无量纲热阻对温度分布和热应力强度因子的影响。

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