Sofiyev Abdullah H, Fantuzzi Nicholas
Department of Mathematics, Istanbul Ticaret University, Beyoglu, Istanbul 34445, Türkiye.
Scientific Research Centers for Composition Materials, UNEC Azerbaijan State Economic University, Baku 1001, Azerbaijan.
Materials (Basel). 2023 Jul 7;16(13):4887. doi: 10.3390/ma16134887.
In this study, the stability of inhomogeneous nanocomposite cylindrical shells (INCCSs) under hydrostatic pressure in a thermal environment is presented. The effective material properties of the inhomogeneous nanocomposite cylindrical shell are modeled on the basis of the extended mixture rule. Based on the effective material properties, the fundamental relations and stability equations are derived for thermal environments. In this process, the first-order shear deformation theory (FSDT) for the homogeneous orthotropic shell is generalized to the inhomogeneous shell theory. This is accomplished using the modified Donnell-type shell theory. The analytical expressions are obtained for hydrostatic buckling pressure of INCCSs in the framework of FSDT and classical shell theory (CST) by obtaining a solution based on Galerkin's procedure. The numerical examples presented include both comparisons and original results. The last section shows the influences of carbon nanotube (CNT) models, volume fraction, and shell characteristics on the hydrostatic buckling pressure in the thermal environment.
在本研究中，给出了非均匀纳米复合圆柱壳（INCCSs）在热环境下静水压力作用下的稳定性。基于扩展混合法则对非均匀纳米复合圆柱壳的有效材料特性进行建模。基于有效材料特性，推导了热环境下的基本关系和稳定性方程。在此过程中，将均匀正交各向异性壳的一阶剪切变形理论（FSDT）推广到非均匀壳理论。这是通过修正的Donnell型壳理论来实现的。通过基于伽辽金法获得解，在FSDT和经典壳理论（CST）框架下得到了INCCSs静水屈曲压力的解析表达式。给出的数值例子包括比较结果和原始结果。最后一部分展示了碳纳米管（CNT）模型、体积分数和壳特性对热环境下静水屈曲压力的影响。
