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Nonlinear thermal bending of FGM cylindrical panels resting on elastic foundations under heat conduction

机译：FGM圆柱板在热导作用下弹性基础上的非线性热弯曲

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摘要

Nonlinear thermal bending analysis is presented for a simply supported functionally graded cylindrical panel resting on an elastic foundation. Material properties of functionally graded materials (FGMs) are assumed to be temperature-dependent, and graded in the thickness direction based on Mori-Tanaka micromechanics model. The formulations are based on a higher order shear deformation shell theory with a von Karman-type of kinematic nonlinearity and include shell panel-foundation interaction and the thermal effects. A two-step perturbation technique is employed to determine the thermal load-deflection and thermal load-bending moment curves induced by heat conduction. The numerical illustrations concern nonlinear thermal bending response of FGM cylindrical panels with two constituent materials resting on Pasternak elastic foundations from which results for Winkler elastic foundations are obtained as a limiting case. The effects of the volume fraction index, foundation stiffness, the panel geometric parameters as well as the character of in-plane boundary conditions are also examined.
机译：针对放置在弹性基础上的简单支撑的功能渐变圆柱面板，进行了非线性热弯曲分析。假定功能梯度材料（FGM）的材料属性与温度有关，并基于Mori-Tanaka微力学模型在厚度方向上进行梯度分级。这些公式基于具有von Karman型运动非线性的高阶剪切变形壳理论，并包括壳面板-基础相互作用和热效应。采用两步扰动技术来确定由热传导引起的热负荷-挠度和热负荷-弯矩曲线。数值说明涉及FGM圆柱形面板的非线性热弯曲响应，其中两种组成材料搁置在Pasternak弹性地基上，从中获得Winkler弹性地基的结果作为极限情况。还检查了体积分数指数，地基刚度，面板几何参数以及平面内边界条件特征的影响。

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