Abstract In this article, by means of nonlocal elasticity theory with using a higher order shear deformation theory (HSDT), the size-dependent wave propagation in functionally graded (FG) doubly-curved shells is investigated. In this HSDT, an exponential function along with a trigonometric formula represents the displacements and the implementation of Hamilton’s principle resulted in obtaining the governing equations. Shells are considered to be made of three different types of material properties: 1. FG carbon nanotubes-reinforced composite (FG-CNTRC), 2. FG graphene nanoplatelets-reinforced composite (FG-GNPRC), 3. FG porous ceramic-metal (FG-PCM). The properties for FG-CNTRC are estimated by the rule of mixture, for FG-GNPRC are evaluated by Halpin-Tsai model and for FG-PCM are modeled by a power law function combined with a cosine formula. The accuracy of proposed models are verified with open literatures’ results. The effects of CNTs’ percentage, GNPs’ weight fraction, intensity of porosity, distribution patterns of CNTs as well as GNPs and porosities, wave numbers, nonlocal parameter and thickness of shells on the results of FG doubly-curved shells are also presented.

中文翻译：

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高阶剪切变形理论分析不同材料的功能梯度双曲面壳

摘要 本文通过非局域弹性理论和高阶剪切变形理论（HSDT），研究了功能梯度（FG）双曲面壳中尺寸相关的波传播。在这个 HSDT 中，一个指数函数和一个三角公式表示位移，并且实现哈密顿原理导致获得控制方程。壳被认为由三种不同类型的材料特性制成：1. FG 碳纳米管增强复合材料 (FG-CNTRC)，2. FG 石墨烯纳米片增强复合材料 (FG-GNPRC)，3. FG 多孔陶瓷-金属（ FG-PCM）。FG-CNTRC 的性质由混合规则估计，FG-GNPRC 由 Halpin-Tsai 模型评估，FG-PCM 由幂律函数结合余弦公式建模。公开文献的结果验证了所提出模型的准确性。还介绍了碳纳米管的百分比、GNP 的重量分数、孔隙度强度、碳纳米管的分布模式以及 GNP 和孔隙率、波数、非局部参数和壳厚度对 FG 双曲面壳结果的影响。