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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：非线性湿热机械加载对FGM矩形板弯曲的影响，采用四个未知板理论

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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，开发了一种简单的四个未知指数剪切变形理论，用于弯曲在双参数弹性基础上的功能渐变材料（FGM）矩形板的弯曲并进行非线性湿热机电载荷。假设根据材料成分的体积分数的简单的动力法分布，假设板的弹性性质，热膨胀系数和板的水分膨胀系数在厚度方向上被分级。与一阶和其他高阶板理论不同，本理论有四个独立的未知数。本理论的面内位移场利用指数函数在坐标坐标坐标坐标纵坐标方面的指数函数。横向位移包括弯曲和剪切部件。虚拟位移原理用于导出控制方程和相关边界条件。采用Navier解决方案技术获得分析解决方案。弹性基础被建模为Twoparameter Winkler-Pasternak基金会。将获得的数值结果与先前公布的结果进行了比较，尽可能证明本理论的功效和准确性。讨论了刚度和梯度指数对板湿热响应的效果。

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