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Thermal Buckling of Functionally Graded Plates Based on Higher Order Theory

机译:基于高阶理论的功能梯度板的热屈曲

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摘要

Equilibrium and stability equations of a rectangular plate made of functionally graded material(FGM) under thermal loads are derived, based on the higher order shear deformation plate theory. Assuming that the material properties vary as a power form of the thickness coordinate variable z and using the variational method, the system of fundamental partial differential equations is established. The derived equilibrium and stability equations for functionally graded plates(FGPs) are identical to the equations for laminated composite plates. A buckling analysis of a functionally graded plate under four types of thermal loads is carried out and results in closed-form solutions.
机译:基于高阶剪切变形板理论,推导了功能梯度材料(FGM)制成的矩形板在热载荷下的平衡方程和稳定性方程。假设材料特性作为厚度坐标变量z的幂形式变化,并使用变分方法,则建立了基本偏微分方程组。功能梯度板(FGP)的导出平衡和稳定性方程与层压复合板的方程相同。对四种温度载荷下的功能梯度板进行屈曲分析,得出封闭形式的解。

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