Han Mengna, Li Zichan, Huang Zhicheng, Wang Xingguo, Gao Wenjie
College of Mechanical and Electronic Engineering, Jingdezhen Ceramic University, Jingdezhen 333001, China.
Materials (Basel). 2023 Jun 28;16(13):4683. doi: 10.3390/ma16134683.
This paper investigates the thermal mechanical bending response of symmetric functionally graded material (FGM) plates. This article proposes a thermodynamic analysis model of both the FGM plate and FGM sandwich plate, and the model only involves four control equations and four unknown variables. The control equation is based on the refined shear deformation theory and the principle of minimum potential energy. The Navier method is used to solve the control equation. According to the method, numerical examples are provided for the thermo-mechanical bending of the symmetric FGM plate and FGM sandwich plate under a simply supported boundary condition, and the accuracy of the model is verified. Finally, parameter analysis is conducted to investigate the effects of the volume fraction index, side-to-thickness ratio, thermal load, and changes in core thickness on the thermal mechanical bending behavior of the symmetric FGM plate and FGM sandwich plate in detail. It was found that the deflection of the FGM plate is greater than that of the FGM sandwich plate, while the normal stress of the FGM plate is smaller than that of the FGM sandwich plate. Moreover, the FGM plate and FGM sandwich plate are sensitive to nonlinear temperature changes.
本文研究了对称功能梯度材料（FGM）板的热机械弯曲响应。本文提出了FGM板和FGM夹层板的热力学分析模型，该模型仅涉及四个控制方程和四个未知变量。控制方程基于精细剪切变形理论和最小势能原理。采用纳维方法求解控制方程。根据该方法，给出了简支边界条件下对称FGM板和FGM夹层板热机械弯曲的数值算例，并验证了模型的准确性。最后，进行参数分析，详细研究了体积分数指数、边厚比、热载荷和芯层厚度变化对对称FGM板和FGM夹层板热机械弯曲行为的影响。结果发现，FGM板的挠度大于FGM夹层板，而FGM板的正应力小于FGM夹层板。此外，FGM板和FGM夹层板对非线性温度变化敏感。
