In this research, we study the thermal buckling performance of multi-scale hybrid laminated nanocomposite (MHLC) disk (MHLCD) subjected hygro-mechanical loading. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macro-scale, respectively. The disk is modeled based on higher order shear deformation theory. We present a modified Halpin–Tsai model to predict the effective properties of the MHLCD. The minimum total potential energy principle is employed to establish the governing equations of the system, which is finally solved by the generalized differential quadrature method. To validate the approach, numerical results are compared with available results from the literature. Subsequently, a comprehensive parameter study is carried out to quantify the influence of different parameters such as stiffness of the substrate, patterns of temperature increase, moisture coefficient, stacking sequence of the CFs, weight fraction and distribution patterns of CNTs, outer radius to inner radius ratio and inner radius to thickness ratio on the response of the plate. Some new results related to critical buckling of an MHLCD are also presented, which can serve as benchmark solutions for future investigations.

中文翻译：

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GDQM 辅助下均匀侧压下聚合物-CNT-纤维层压纳米复合材料盘的湿热屈曲分析

在这项研究中，我们研究了多尺度混合层压纳米复合材料 (MHLC) 圆盘 (MHLCD) 在湿机械载荷作用下的热屈曲性能。基体材料分别在纳米或宏观尺度上用碳纳米管 (CNT) 或碳纤维 (CF) 增强。圆盘是基于高阶剪切变形理论建模的。我们提出了一个改进的 Halpin-Tsai 模型来预测 MHLCD 的有效特性。利用最小总势能原理建立系统的控制方程，最后用广义微分求积法求解。为了验证该方法，将数值结果与文献中的可用结果进行比较。随后，进行了全面的参数研究以量化不同参数的影响，例如基材的刚度、升温模式、水分系数、CF 的堆叠顺序、CNT 的重量分数和分布模式、外半径与内半径之比和板响应的内半径与厚度比。还介绍了一些与 MHLCD 临界屈曲相关的新结果，可作为未来研究的基准解决方案。