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首页> 外文期刊>Journal of thermal stresses >Effects of nonlinear hygrothermomechanical loading on bending of FGM rectangular plates resting on two-parameter elastic foundation using four-unknown plate theory
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Effects of nonlinear hygrothermomechanical loading on bending of FGM rectangular plates resting on two-parameter elastic foundation using four-unknown plate theory

机译：基于四未知板理论的非线性湿热机械载荷对基于两参数弹性地基的FGM矩形板弯曲的影响

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摘要

In the present study, a simple four-unknown exponential shear deformation theory is developed for the bending of functionally graded material (FGM) rectangular plates resting on two-parameter elastic foundation and subjected to nonlinear hygrothermomechanical loading. The elastic properties, coefficient of thermal expansion, and coefficient of moisture expansion of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of volume fractions of material constituents. Unlike first-order and other higher-order plate theories, the present theory has four independent unknowns. The in-plane displacement field of the present theory uses exponential functions in terms of thickness co-ordinate for calculating out-of-plane shearing strains. The transverse displacement includes bending and shear components. The principle of virtual displacement is employed to derive the governing equations and associated boundary conditions. A Navier solution technique is employed to obtained an analytical solutions. The elastic foundation is modelled as twoparameter Winkler-Pasternak foundation. The numerical results obtained are compared with previously published results wherever possible to prove the efficacy and accuracy of the present theory. The effects of stiffness and gradient index of the foundation on the hygrothermomechanical responses of the plates are discussed.
机译：在本研究中，为搁置在两参数弹性基础上并承受非线性湿热机械载荷的功能梯度材料（FGM）矩形板的弯曲，开发了一种简单的四未知指数剪切变形理论。假定板的弹性，热膨胀系数和湿膨胀系数根据材料成分的体积分数，根据简单的幂律分布在厚度方向上分级。与一阶和其他高阶板块理论不同，本理论有四个独立的未知数。本理论的面内位移场根据厚度坐标使用指数函数来计算面外剪切应变。横向位移包括弯曲和剪切分量。虚拟位移原理被用于导出控制方程和相关的边界条件。 Navier解决方案技术用于获得分析解决方案。弹性基础建模为两个参数的Winkler-Pasternak基础。将获得的数值结果与以前发表的结果进行比较，以证明本理论的有效性和准确性。讨论了基础的刚度和梯度指数对板的湿热力学响应的影响。

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