对流换热边界下变物性梯度功能材料板瞬态温度场有限元分析

用有限元法和有限差分法相结合的方法,分析了由 ZrO₂和Ti-6Al-4V组成的变物性梯度功能材料板在对流换热边界条件下的非线性瞬态热传导问题,检验了方法的正确性,给出了对流换热边界下的瞬态温度场分布,并与不考虑变物性时的结果进行了比较。结果表明:在精确计算瞬态温度场分布时,变物性是影响梯度功能材料板瞬态温度场的最重要因素之一。此外,材料组分的分布形状系数、环境介质温度和对流换热系数的变化对变物性梯度功能材料板的瞬态温度场分布均有明显的影响。此结果为材料设计和进一步的热应力分析提供了准确的计算依据。

TRANSIENT TEMPERATURE FIELD ANALYSIS OF FUNCTIONALLY GRADIENT MATERIAL PLATE WITH TEMPERATURE-DEPENDENT MATERIAL PROPERTIES UNDER CONVECTIVE HEAT TRANSFER BOUNDARY BY FINITE ELEMENT METHOD

Taking into account the effect of temperature dependency of material properties,the transient temperature fields in the plate made of a functionally gradient material that consists of ZrO2 and Ti-6Al-4V under convective heat transfer boundary are analyzed by the finite element method(FEM)and the finite difference method (FDM). At the same time,the accuracy of this method is examined.Finally, the transient temperature field distributions under the convective heat transfer boundary are obtained and compared with the results of temperature-independent properties. From the numerical results it can be seen that the temperature dependency of the material properties is one of the most important factors in the accurate evaluation of the temperature. In addition, the temperature distribu-tions are substantially changed with the change of the temperature of the surrounding and the parameter M and the convective heat transfer coefficients.The results of this paper provide the foundations of calculation for material design and further thermal stress analysis.