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- 2019
基于热弹性耦合理论的功能梯度材料薄壁旋转碟片力学性能
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Abstract:
基于热弹性耦合理论，对处于热载荷下的Al-Al2O3功能梯度材料（FGM）薄壁旋转碟片进行研究。根据FGM构造理论结合碟片轴对称特性，得到其力学特性全场分布。分别采用函数构造方法和热耦合传导方程推导得到模型所处温度场，并加以分析对比。建立了统一温度场的热耦合本构方程，并根据平面应力情况下热弹性材料力学特性基本原理，拟合确定其物性系数。通过微分求积方法（DQM）求解不同温度场下不同FGM构造形式模型的位移控制方程。结果表明：常温下，热耦合本构方程可以退化到胡克定律；经典热弹性理论与热弹性耦合理论下的碟片径向位移误差可达41.7%；热弹性耦合理论的结果随温度非线性变化，这种变化趋势也体现在大量科学实验中；碟片外表面温度变化、转速和所处的温度场显著地影响其热弹性场。 Functionally graded material (FGM) disk subjected to thermal load was investigated based on thermally coupled theory. According to the theory of FGM construction and the axisymmetric characteristic of the disk, the full field distribution of its mechanical properties was obtained. The temperature distribution of the disk was deduced and analyzed by the functionally constructed method and the thermally coupled conduction equation, respectively. Thermally coupled constitutive relations combined with the temperature distribution were established, and their material constants were determined due to the principle of mechanical properties of thermoelastic materials under the two dimensional condition. The displacement governing equations of different FGM structural form disk in different temperature distribution were solved using the differential quadrature method(DQM). The results reveal that thermally coupled constitutive relations can be degenerated to Hooke's laws at room temperature. The error of radial displacement of the disk under classical thermoelastic theory and thermally coupled theory can reach 41.7%. The results of thermally coupled theory change with temperature nonlinearly, and this change trend is also reflected in a large number of scientific experiments. The thermoelastic field in a disk is significantly influenced by temperature change of the outer surface in a disk, angular speed, and temperature distribution
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