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Nonlinear thermal buckling of axially functionally graded micro and nanobeams

机译：轴向功能梯度微束和纳米束的非线性热屈曲

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In this study, the nonlinear thermal buckling of axially functionally graded (AFG) Euler-Bernoulli microanobeams is analyzed. The Eringen's nonlocal elasticity theory is used to develop the governing equations of nanobeam and the modified couple stress theory is used to study the microbeam. The micro and nanobeams are made of pure metal, pure ceramic and axially functionally graded material which is the composition of metal and ceramic. Boundary conditions are considered as clamped (CC) and simply supported (SS). The generalized differential quadrature method (GDQM) is used along with the iteration technique to solve the nonlinear equations. The parametric studies are served to examine the effects of the small scale parameters, length to height ratio (L/h), nonlinear amplitude and AFG power index on the buckling temperature of the micro- and nanobeams. (C) 2017 Elsevier Ltd. All rights reserved.
机译：在这项研究中，分析了轴向功能梯度（AFG）的Euler-Bernoulli微米/纳米纤维的非线性热屈曲。用Eringen的非局部弹性理论来开发纳米束的控制方程，并使用改进的耦合应力理论来研究微束。微束和纳米束由纯金属，纯陶瓷和轴向功能渐变的材料制成，该材料是金属和陶瓷的组成。边界条件被认为是受约束的（CC），仅受支持（SS）。广义微分正交方法（GDQM）与迭代技术一起用于求解非线性方程。参数研究用于检验小尺寸参数，长高比（L / h），非线性幅度和AFG功率指数对微束和纳米束屈曲温度的影响。 （C）2017 Elsevier Ltd.保留所有权利。

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