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Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations

机译：弹性基础上高阶剪切可变形功能梯度板的机械和热后屈曲

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摘要

This paper presents an analytical investigation on the buckling and postbuckling behaviors of thick functionally graded plates resting on elastic foundations and subjected to in-plane compressive, thermal and thermomechanical loads. Material properties are assumed to be temperature independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. The formulations are based on higher order shear deformation plate theory taking into account Von Karman nonlinearity, initial geometrical imperfection and Pasternak type elastic foundation. By applying Galerkin method, closed-form relations of buckling loads and postbuckling equilibrium paths for simply supported plates are determined. Analysis is carried out to show the effects of material and geometrical properties, in-plane boundary restraint, foundation stiffness and imperfection on the buckling and postbuckling loading capacity of the plates.
机译：本文提出了对厚功能梯度板的屈曲和后屈曲行为的分析研究，该功能梯度板位于弹性基础上并承受面内压缩，热和热机械载荷。假定材料特性与温度无关，并且根据成分的体积分数，根据简单的幂律分布在厚度方向上进行分级。该公式基于高阶剪切变形板理论，并考虑了冯卡曼（Von Karman）非线性，初始几何缺陷和Pasternak型弹性基础。通过应用Galerkin方法，确定了简单支撑板的屈曲载荷与屈曲后平衡路径的闭合形式关系。分析表明材料和几何特性，平面内边界约束，基础刚度和缺陷对板屈曲和屈曲后承载能力的影响。

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