Eur. Phys. J. Plus (2018) 133: 151
https://doi.org/10.1140/epjp/i2018-11956-5

Regular Article

Wave dispersion characteristics of embedded graphene platelets-reinforced composite microplates

¹ Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
² School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

^* e-mail: febrahimy@eng.ikiu.ac.ir

Received: 8 December 2017
Accepted: 26 February 2018
Published online: 16 April 2018

Abstract

The present paper includes an analytical approach to study the wave propagation answers of microplates reinforced with graphene platelets (GPLs). Here, a uniform distribution of GPLs is regarded. Moreover, the equivalent modulus of elasticity is calculated for a composite plate in the framework of Halpin-Tsai model. Also, the effective values of density and Poisson’s ratio are achieved applying relations of mixture rule. Kinematic equations are derived by employing the relations of classical plate theory (CPT). Then, by means of Hamilton’s principle, local equations of motion are developed. Furthermore, the obtained Euler-Lagrange equations are solved by using an analytical solution. Finally, the effect of all contributor parameters will be reviewed presenting some diagrams.