Nonlinear thermal stress analysis in a functionally graded hollow thick cylinders and spheres under the effect of high temperatures and temperature differences is considered by taking into account the material properties of the body both temperature dependent and radially graded, except Poisson’s ratio which is taken to be constant for simplicity. These conditions result in nonlinear governing differential equation that is adopted to solve numerically. The effect of the temperature-dependent material properties on the temperature distribution, radial displacement, and thermal stresses is presented in a graphical form. The importance of the effect of temperature on the material is shown in functionally graded materials manufactured to be exposed to high temperature and temperature difference. Benchmark solutions available in the literature are used to validate the results and to emphasize the convergence of the numerical solutions.

中文翻译：

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功能梯度厚圆柱和球体的非线性热应力分析

在高温和温差的影响下，功能梯度中空厚圆柱体和球体中的非线性热应力分析是通过考虑温度相关和径向梯度的主体材料特性来考虑的，但泊松比被认为是恒定的为简单起见。这些条件导致用于数值求解的非线性控制微分方程。与温度相关的材料属性对温度分布、径向位移和热应力的影响以图形形式呈现。温度对材料影响的重要性体现在为暴露于高温和温差而制造的功能梯度材料中。