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Non-polynomial framework for static analysis of functionally graded carbon nano-tube reinforced plates

机译：功能梯度碳纳米管增强板静态分析的非多项式框架

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摘要

The reinforcement in the form of carbon nano-tubes (CNTs) enhances the bending response of the structures. The bending characteristics are altered due to functionally graded distributions of CNTs. The bending behaviour of functionally graded CNTs reinforced plates is carried out in the present work. The carbon nano-tubes are supposed to be distributed uniformly and graded functionally. The reinforced plates are modelled for the first time in the framework of inverse hyperbolic shear deformation theory. The governing equations of the plate are obtained using the principle of virtual work under the assumptions of linear kinematics and generalised Hooke's law. These governing equations are solved in the closed form using Navier solution for specific boundary conditions i.e. simply supported. The static response of these plates are obtained under the effect of sinusoidal load, uniform load, hydrostatic load, and central point load. The computed results are compared with some of the existing results for a few cases to ensure the validity. Further, the effects of parameters such as CNT volume fraction, orientation of reinforcement, span-thickness ratio, loading conditions, etc. on the static response characteristics are examined in details and various conclusions are observed.
机译：碳纳米管（CNT）形式的增强增强了结构的弯曲响应。由于CNT的功能梯度分布而改变弯曲特性。在目前的工作中进行了功能梯度CNT加强板的弯曲行为。应该均匀地分布碳纳米管并在功能上分布。增强板是在反双曲剪切变形理论的框架中进行建模的。板材的控制方程是利用线性运动学和广义胡克法律的假设下的虚拟工作原理获得的。这些控制方程在使用Navier解决方案中以封闭形式解决，用于特定边界条件即简单地支持。这些板的静态响应是在正弦载荷，均匀载荷，静水载荷和中心点负荷的影响下获得的。计算结果与一些现有结果进行比较，以确保有效性。此外，在细节中检查了诸如CNT体积分数，增强件，跨度比，负载条件等的参数的效果，并观察到各种结论。

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