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Analysis of functionally graded doubly-curved shells with different materials via higher order shear deformation theory

机译：通过高阶剪切变形理论分析不同材料的功能渐变双弯曲壳

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摘要

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.
机译：在本文中，通过使用更高阶剪切变形理论（HSDT）的非识别弹性理论，研究了在功能梯度（FG）双弯壳中的尺寸相关波传播。在该HSDT中，指数函数以及三角式公式表示位移，并且汉密尔顿原则的实施导致获取控制方程。壳体被认为是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石墨烯纳米克隆增强复合材料（FG-GNPRC），3. FG多孔陶瓷 - 金属（ FG-PCM）。 FG-CNTRC的性质由混合物规则估计，对于FG-GNPRC，通过Halpin-Tsai模型评估，并且FG-PCM由电力法函数与余弦配方组合使用。建议模型的准确性通过开放文献的结果进行了验证。还介绍了CNTs'百分比，GNPS重量分数，CNTs的分布图以及GNPS和孔隙率，波数，非函数和壳体上的壳体的效果，对FG双弯曲的壳体的结果进行了壳体。

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