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Thermal post-buckling behavior of functionally graded plates with nonlinear temperature distribution

机译:具有非线性温度分布的功能梯度板的热后屈曲行为

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Post-buckling behaviors of ceramic-metal FGM plates are studied in different thermal field to understand the effects of asymmetric material and temperature distributions on the thermo-mechanical characteristics of FGM structures. The simple power law material distribution through the plate thickness is adopted. The effective properties of FGM is determined by the rule of mixture. The temperature field is considered to vary with the thickness direction only and determined by nonlinear Fourier equations of heat conduction. The geometric nonlinearity arises from the large deflection is introduced by von-Karman strain-displacement relations. The finite element equations are established using the three-node triangular Mindlin plate elements. The post-buckling equilibrium deflections are calculated by a reduced-order model, and the evolution of the equilibriums with the variation of the temperature is investigated. The post-buckling equilibriums are found asymmetric about the initial position of the plate, and the transverse deflection occurs no matter how small the temperature rise. Numerical results show that the FGM plate buckles to the metal-rich side if it is heated uniformly, while the FGM plate buckles to the ceramic-rich side (high temperature side) if it is heated non-uniformly. The effect of thermal gradient on the post-buckling deflection of FGM plate decreases with the increase of the material gradient index.
机译:研究了陶瓷-金属FGM板在不同热场下的后屈曲行为,以了解不对称材料和温度分布对FGM结构热机械特性的影响。采用通过板厚度的简单幂律材料分布。 FGM的有效特性取决于混合规则。认为温度场仅随厚度方向变化,并且由非线性导热傅里叶方程确定。几何非线性是由von-Karman应变位移关系引入的大挠度引起的。使用三节点三角Mindlin板单元建立有限元方程。通过降阶模型计算屈曲后的平衡挠度,并研究随温度变化的平衡演化。发现屈曲后的平衡关于板的初始位置是不对称的,并且无论温度升高多小,都会发生横向挠曲。数值结果表明,如果加热不均匀,FGM板会弯曲到富金属侧,而如果加热不均匀,FGM板会弯曲到富陶瓷侧(高温侧)。随着材料梯度指数的增加,热梯度对FGM板屈曲后挠度的影响减小。

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