Advances in nano research

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In-plane varying bending force effects on wave dispersion characteristics of single-layered graphene sheets

  • Cao, Yan (School of Mechatronic Engineering, Xi'an Technological University) ;
  • Selmi, Abdellatif (Department of Civil Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University) ;
  • Tohfenamarvar, Rasoul (Department of Civil Engineering, Tabriz Branch, Islamic Azad University) ;
  • Zandi, Yousef (Department of Civil Engineering, Tabriz Branch, Islamic Azad University) ;
  • Kasehchi, Ehsan (Department of Civil Engineering, Roudehen Branch, Islamic Azad University) ;
  • Assilzahed, Hamid (Institute of Research and Development, Duy Tan University)
  • Received : 2019.07.02
  • Accepted : 2020.10.15
  • Published : 2021.02.25
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Abstract

An analytical investigation has been performed on the mechanical performance of waves propagated in a Single-Layered Graphene Sheet (SLGS) when an In-plane Varying Bending (IVB) load is interacted. It has been supposed that the Graphene Sheet (GS) is located on an elastic medium. Employing a two-parameter elastic foundation, the effects of elastic substrate on the GS behavior are modeled. Besides, the kinematic equations are derived by the means of a trigonometric two-variable refined plate theory. Moreover, in order to indicate the size-dependency of the SLGS, a Nonlocal Strain Gradient Theory (NSGT) was considered. The nonlocal governing differential equations are achieved in the framework of Hamilton's Principle (HP). Also, an analytical approach was used to detect the unknowns of the final eigenvalue equation. Finally, the effects of each parameters using some dispersion charts were determined.

Keywords

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