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首页> 外文期刊>Journal of thermal stresses >TRANSIENT RESPONSE OF TEMPERATURE AND THERMAL STRESSES IN A FUNCTIONALLY GRADED HOLLOW CYLINDER
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TRANSIENT RESPONSE OF TEMPERATURE AND THERMAL STRESSES IN A FUNCTIONALLY GRADED HOLLOW CYLINDER

机译：功能梯度圆柱体的温度和温度应力瞬态响应

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摘要

Thermoelastic problems in a functionally graded hollow circular cylinder are analyzed. The material properties of the cylinder are assumed to vary arbitrarily along the radial direction. A new, effective and simple method is presented for gaining the response of the temperature and thermal stresses. Using the Laplace transform, we convert the heat conduction equation as well as the thermal stress problem into Fredholm integral equations. By numerically solving the resulting equations and performing numerical inversion of the Laplace transform, the temperature change and thermal stress response in physical domain can he obtained. The effectiveness of the presented method is confirmed by comparing numerical results with the exact solutions in the steady-state for power-law gradient. Finally, for a cylindrical functionally graded vessel made of aluminum and zirconia as two constituent phases, whose properties obey a special radial nonhomogeneity, the response history of temperature change and thermal stresses are presented graphically to show the influence of the gradient parameter at different stages.
机译：分析了功能梯度空心圆柱体中的热弹性问题。假定圆柱体的材料特性沿径向任意变化。提出了一种新的，有效且简单的方法来获得温度和热应力的响应。使用拉普拉斯变换，我们将热传导方程和热应力问题转换为弗雷德霍尔姆积分方程。通过数值求解所得方程并执行拉普拉斯变换的数值反演，可以获得物理域中的温度变化和热应力响应。通过将数值结果与幂律梯度稳态下的精确解进行比较，证实了所提出方法的有效性。最后，对于由铝和氧化锆作为两个组成相的圆柱状功能梯度容器，其性能遵循特殊的径向非均匀性，以图形方式显示了温度变化和热应力的响应历史，以显示梯度参数在不同阶段的影响。

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