Abstract

In this article, a first attempt has been made to address the nonlinear deflection problem of magneto-electro-elastic shells reinforced with carbon nanotubes subjected to multiphysics loads like mechanical, electric and magnetic loads. In this regard, a mathematical model based on higher-order shell theory, von-Karman’s nonlinearity is derived using finite element platform. The true flexural behavior of the functionally graded carbon nanotube reinforced magneto-electro-elastic shell under the action of individual/combined multiphysics loading is captured through higher-order nonlinear terms. Meanwhile, the results of this article emphasize on understanding the influence of coupling fields in conjunction with material and geometrical parameters on the deflection of functionally graded carbon nanotube reinforced magneto-electro-elastic shells. In addition, the study provides an intensive and meticulous insight into the deflection of curved shells with respect to different shell geometry, carbon nanotube distributions, carbon nanotube volume fractions, aspect ratio, thickness ratio, shallowness ratio, and electro-magnetic loads. The study is believed to pave way for extensive further studies on these classes of materials which can prove to be instrumental in various avenues of aerospace research and development.

摘要

在本文中，我们首次尝试解决碳纳米管增强的磁电弹性壳在机械、电和磁等多物理场载荷下的非线性偏转问题。对此，基于高阶壳理论的数学模型，von-Karman非线性是利用有限元平台推导出来的。通过高阶非线性项捕获功能梯度碳纳米管增强磁电弹性壳在单独/组合多物理场载荷作用下的真实弯曲行为。同时，本文的研究结果强调了解耦合场以及材料和几何参数对功能梯度碳纳米管增强磁电弹性壳挠度的影响。此外，该研究深入细致地了解了弯曲壳在不同壳几何形状、碳纳米管分布、碳纳米管体积分数、纵横比、厚度比、浅度比和电磁载荷方面的偏转。该研究被认为为进一步研究这些类别的材料铺平了道路，这些材料可以证明对航空航天研究和开发的各种途径都有帮助。