Viscoelastic wave propagation analysis of axially motivated double-layered graphene sheets via nonlocal strain gradient theory

ABSTRACT

This paper contains a nonlocal strain gradient-based theory to survey viscoelastic wave dispersion characteristics of axially loaded double-layered graphene sheets (DLGSs) resting on the viscoelastic substrate. Actually, a comprehensive size-dependent analysis is performed in which both amplifying and minimizing effects are covered. Also, the kinematic relations have been derived by the means of a one-variable classical plate theory. Besides, the final nonlocal governing equations can be developed using the Hamilton’s principle. These equations will be finally solved utilizing an analytical solution to obtain wave frequency, phase velocity and escape frequency of DLGSs. Last section is allocated to study the effects of various terms including wave number, nonlocal parameter, length scale parameter, structural damping coefficient, Winkler coefficient, Pasternak coefficient, damping coefficient and axial load on the wave propagation behaviors of DLGSs.

KEYWORDS:

• Wave propagation
• double-layered graphene sheet (DLGS)
• Nonlocal strain gradient theory (NSGT)
• visco-Pasternak foundation

Additional information

Notes on contributors

Farzad Ebrahimi

Farzad Ebrahimi is an associate Professor in the Department of Mechanical Engineering, Imam Khomeini International University, Qazvin, Iran. His research interests include mechanics of nano-structures, smart materials and structures, viscoelasticity, functionally graded materials (FGMs) and continuum plate and shell theories. He has published more than 250 international research papers. He is also the author of 2 books about smart materials and has edited 3 books for international publishers.

Ali Dabbagh

Ali Dabbagh is studying his MSc in the School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran. His research interests include solid mechanics, smart materials, composites, functionally graded materials (FGMs) and nano-structures. He has published 18 international papers in his research area.