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Buckling analysis of functionally graded circular plates made of saturated porous materials based on higher order shear deformation theory

机译:基于高阶剪切变形理论的饱和多孔材料功能梯度圆板的屈曲分析

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This study presents the buckling analysis of radially loaded solid circular plate made of porous material. Properties of the porous plate, where pores are assumed to be saturated with fluid, vary across its thickness. The boundary condition of the plate is assumed to be clamped and the plate is assumed to be geometrically perfect. The higher order shear deformation plate theory (HSDT) is employed to derive the governing equations. The equilibrium and stability equations, derived through the variational formulation and based on the Sanders non-linear strain-displacement relation, are used to determine the pre buckling forces and critical buckling loads. The results are compared with the buckling loads of circular plates made of porous material and reported in the literature based on the classical plate theory (CPT) and the first order shear deformation plate theory (FSDT). (C) 2015 Elsevier Ltd. All rights reserved.
机译:这项研究提出了由多孔材料制成的径向加载的实心圆板的屈曲分析。多孔板的属性(假设孔被流体浸透)在其整个厚度上会发生变化。假定板的边界条件被夹紧,并且假定板在几何上是完美的。采用高阶剪切变形板理论(HSDT)推导控制方程。通过变分公式并基于Sanders非线性应变-位移关系式导出的平衡和稳定性方程式,可用于确定预屈曲力和临界屈曲载荷。将结果与多孔材料制成的圆形板的屈曲载荷进行比较,并基于经典板理论(CPT)和一阶剪切变形板理论(FSDT)在文献中进行了报道。 (C)2015 Elsevier Ltd.保留所有权利。

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