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

Yan Cao , Abdellatif Selmi , Rasoul Tohfenamarvar , Yousef Zandi , Ehsan Kasehchi , Hamid Assilzahed

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.

Key Words

wave propagation; single-layered graphene sheet (SLGS); nonlocal strain gradient theory (NSGT); Winkler-Pasternak foundation; varying bending force

Address

(1) Yan Cao — School of Mechatronic Engineering, Xian Technological University, Xian, 710021 China
(2) Abdellatif Selmi — Department of Civil Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
(3) Abdellatif Selmi — Ecole Nationale dIngenieurs deTunis (ENIT), Civil Engineering Laboratory, B.P. 37, Le belvedere1002, Tunis, Tunisia
(4) Rasoul Tohfenamarvar and Yousef Zandi — Department of Civil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran
(5) Ehsan Kasehchi — Department of Civil Engineering, Roudehen Branch, Islamic Azad University, Roudehen, Iran
(6) Hamid Assilzahed — Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam

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