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Reddy型高阶理论已被广泛用于功能梯度材料(FGM)结构分析,然而此理论忽略了横法向应变,难于准确分析功能梯度梁的热力行为。为提高Reddy理论分析热力响应的精度,提出了一种考虑横法向热应变的三参数Reddy型高阶功能梯度梁理论。此模型考虑了横法向热应变,但不增加额外位移变量。应用构建的模型分析了功能梯度梁的热力响应,并研究了不同体积分数对面内应力和位移的影响。数值结果表明,所提出的模型能准确分析功能梯度梁的热力响应,而忽略横法向应变的模型计算结果精度较低。
The Reddy-type high-order theory has been widely used in the structural analysis of FGM. However, this theory ignores the transverse normal strain and it is difficult to accurately analyze the thermal behavior of FGM. In order to improve the accuracy of Reddy theory to analyze the thermodynamic response, a three-parameter Reddy-type high-order functionally graded beam with horizontal thermal strain is proposed. This model considers transverse normal thermal strain without adding additional displacement variables. The thermal response of FGM was analyzed by using the constructed model, and the influence of different volume fraction on in-plane stress and displacement was studied. The numerical results show that the proposed model can accurately analyze the thermal response of FGM, while the accuracy of the model with transverse normal strain is negligible.