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Generalized stress-strain recovery formulation applied to functionally graded spherical shells and panels under static loading

机译:广义应力应变恢复公式,适用于静态载荷下功能梯度球壳和面板

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摘要

The present investigation concludes the triad of papers by the first three authors concerning the 2D-unconstrained third order shear deformation theory for shell-like structures. Here, the static behavior of functionally graded spherical shells and panels subjected to uniform loadings at the extreme surfaces is studied. The material properties are graded in the thickness direction according to a four parameter power law. The structural model involves the a posteriori stress and strain recovery procedure. The obtained governing equations are solved by means of the GDQ numerical technique. An extensive numerical investigation is carried out to characterize the effect of material parameters on the stress, strain and displacement profiles along the thickness direction. The second order equilibrium operators, of the fundamental system of equations for functionally graded spherical shells and panels, are reported in the extended form. (C) 2015 Elsevier Ltd. All rights reserved.
机译:本研究总结了前三位作者关于壳状结构的二维无约束三阶剪切变形理论的三篇论文。在此,研究功能梯度球壳和面板在极端表面上受到均匀载荷的静态行为。根据四参数幂定律,在厚度方向上对材料特性进行分级。结构模型涉及后验应力和应变恢复程序。借助GDQ数值技术求解获得的控制方程。进行了广泛的数值研究,以表征材料参数对沿厚度方向的应力,应变和位移轮廓的影响。以扩展形式报告了功能梯度球壳和面板的基本方程组的二阶平衡算子。 (C)2015 Elsevier Ltd.保留所有权利。

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