Authors: Karličić, Danilo 
Cajić, Milan 
Kozić, Predrag
Pavlović, Ivan
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Temperature effects on the vibration and stability behavior of multi-layered graphene sheets embedded in an elastic medium
Journal: Composite Structures
Volume: 131
First page: 672
Last page: 681
Issue Date: 1-Nov-2015
Rank: M21a
ISSN: 0263-8223
DOI: 10.1016/j.compstruct.2015.05.058
Abstract: 
This communication presents the thermal vibration and stability analysis of the multi-layered graphene sheets (MLGS) modeled as multi-nanoplate system (MNPS) embedded in an elastic medium. Nonlocal elasticity and Kirchhoff-Love plate theories are used for nanoplates, which are considered as orthotropic. Elastic medium is represented by the Winkler's spring model, which couples adjacent nanoplates in MNPS. Governing equations are derived and exact closed form solutions for nonlocal frequencies, critical buckling loads and critical buckling temperature are obtained by using the Navier's and trigonometric methods. The analytical results are validated with the corresponding results in the literature, results obtained via molecular dynamics simulation and numerical method of solution of the system of algebraic equations. To consider the thermal effects on the vibration and stability behavior of MNPS we adopted the coefficient of thermal expansion (CTE) obtained from the experimental results found in the literature. In the parametric study, effects of temperature change, nonlocal parameter, number of nanoplates and change of mediums stiffness on dimensionless nonlocal frequencies, critical buckling load and critical buckling temperature are investigated.
Keywords: Critical buckling load | Critical buckling temperature | Multi-layered graphene sheets | Natural frequency | Thermal effects
Publisher: Elsevier
Project: Dynamic stability and instability of mechanical systems subjected to stochastic excitations 
Dynamics of hybrid systems with complex structures. Mechanics of materials. 

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