Buckling and postbuckling behavior of carbon nanotube (CNT) reinforced thick composite plates resting on elastic foundations and subjected to thermomechanical loads are investigated in this paper. The plates are subjected to uniform uniaxial compression in a thermal environment or the combined action of nondestabilizing preexisting uniaxial compression and uniform temperature rise. CNTs are reinforced into matrix through functionally graded distributions. The properties of constitutive materials are assumed to be temperature dependent and effective properties of CNT-reinforced composite are determined according to an extended rule of mixture. Governing equations are based on a higher order shear deformation theory taking von Kárman nonlinearity, initial geometrical imperfection, elasticity of tangential restraints of unloaded edges and plate-foundation interaction into consideration. Analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain nonlinear load-deflection relations. Numerical analyses are carried out to show the effects of CNT distribution patterns, preexisting loads, initial imperfection, degree of in-plane constraint, and elastic foundations on the nonlinear thermomechanical stability of CNT-reinforced composite plates.

本文研究了放置在弹性基础上并受到热机械载荷的碳纳米管 (CNT) 增强厚复合板的屈曲和后屈曲行为。板在热环境中受到均匀的单轴压缩，或者在预先存在的非不稳定单轴压缩和均匀温升的联合作用下进行。碳纳米管通过功能梯度分布增强为基体。假设本构材料的特性与温度有关，并且碳纳米管增强复合材料的有效特性是根据混合的扩展规则确定的。控制方程基于高阶剪切变形理论，采用 von Kárman 非线性、初始几何缺陷、考虑卸载边缘切向约束的弹性和板-地基相互作用。假设解析解满足简支边界条件，并应用伽辽金方法获得非线性载荷-挠度关系。进行数值分析以显示碳纳米管分布模式、预先存在的载荷、初始缺陷、面内约束程度和弹性基础对碳纳米管增强复合板的非线性热机械稳定性的影响。