正交异性材料
石墨烯
材料科学
振动
边值问题
机械
伽辽金法
磁场
温度梯度
长度刻度
平面应力
板块理论
经典力学
数学分析
物理
有限元法
数学
声学
热力学
纳米技术
量子力学
作者
Farzad Ebrahimi,Mohammad Reza Barati
标识
DOI:10.1177/0954406217720232
摘要
This paper develops a nonlocal strain gradient plate model for vibration analysis of the graphene sheets under in-plane magnetic field and hygro-thermal environments. For more accurate analysis of the graphene sheets, the proposed theory contains two-scale parameters related to the nonlocal and strain gradient effects. The graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as moisture concentration rise, temperature rise, nonlocal parameter, length scale parameter, elastic foundation, and magnetic field on vibration characteristics of the graphene sheets are examined.
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