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Thermal postbuckling of FGM cylindrical panels resting on elastic foundations

机译:FGM圆柱板在弹性基础上的热后屈曲

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Thermal postbuckling analysis is presented for FGM cylindrical panels resting on elastic foundations. Heat conduction and temperature-dependent material properties are both taken into account. Material properties of functionally graded materials (FGMs) are assumed to be graded in the thickness direction based on Mori-Tanaka micromechanics model. The formulations are based on a higher order shear deformation theory and von Karman strain displacement relationships. The panel-foundation interaction and thermal effects are also included. The governing equations are first deduced to a boundary layer type that includes nonlinear prebuckling deformation and initial geometric imperfection of the panel. Thermal postbuckling equilibrium paths are determined by using a singular perturbation technique along with a two-step perturbation approach. The effects of volume fraction index, foundation stiffness, panel curvature ratio on the thermal postbuckling behavior of FGM cylindrical panels are discussed in detail. The results reveal that the thermal postbuckling equilibrium path of FGM cylindrical panels with immovable simply supported edge conditions is no longer the bifurcation type for both uniform and non-uniform temperature variations.
机译:提出了基于FGM圆柱板的弹性后屈曲热分析。导热和温度相关的材料特性都被考虑在内。基于Mori-Tanaka微力学模型,假定功能梯度材料(FGM)的材料特性在厚度方向上是梯度的。该公式基于高阶剪切变形理论和von Karman应变位移关系。还包括面板基础交互作用和热效应。首先将控制方程推导为边界层类型,该边界层类型包括非线性预屈曲变形和面板的初始几何缺陷。通过使用奇异摄动技术和两步摄动方法来确定后屈曲热平衡路径。详细讨论了体积分数指数,基础刚度,面板曲率比对FGM圆柱面板的热屈曲行为的影响。结果表明,对于均匀和不均匀的温度变化,具有不可移动的简单支撑边缘条件的FGM圆柱形面板的热后屈曲平衡路径不再是分叉类型。

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