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首页> 外文期刊>Aerospace science and technology >Nonlinear bending analysis of FGM circular plates based on physical neutral surface and higher-order shear deformation theory
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Nonlinear bending analysis of FGM circular plates based on physical neutral surface and higher-order shear deformation theory

机译：基于物理中性面和高阶剪切变形理论的FGM圆板非线性弯曲分析

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In this paper, a model of the FGM circular plates is successfully established by physical neutral surface and higher-order shear deformation theory. The primary material properties are assumed to be temperature-dependent and vary along the thickness, while Poisson's ratio depends weakly on temperature change and position and is assumed to be a constant. It is worth noting that the displacements have special forms, there are no stretching-bending couplings in constitutive equations, and governing equations have the simple forms, so the solution procedure is similar to that of the homogeneous isotropic plate. The validity of this new model is confirmed by comparison with related researchers' results. Multi-term Ritz method is novel for nonlinear bending analysis of FGM circular plates, and influences played by different supported boundaries, thermal environmental conditions and volume fraction index are discussed in detail.
机译：本文通过物理中性面和高阶剪切变形理论成功建立了FGM圆板模型。假定主要材料特性与温度有关，并且随厚度变化，而泊松比在很大程度上取决于温度变化和位置，并且假定为常数。值得注意的是，位移具有特殊形式，本构方程中没有拉伸-弯曲耦合，控制方程具有简单形式，因此求解过程与均质各向同性板相似。通过与相关研究人员的结果进行比较，证实了该新模型的有效性。多项Ritz方法是一种新颖的FGM圆板非线性弯曲分析方法，并详细讨论了不同支撑边界，热环境条件和体积分数指数的影响。

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