Paper Info
Title
Transient analysis of single-layered graphene sheet using the kp-Ritz method and nonlocal elasticity theory
Abstract
In this paper, an investigation on the transient analysis of single-layered graphene sheets (SLGSs) is performed using the element-free kp-Ritz method. The classical plate theory is used to describe the dynamic behavior of SLGSs. Nonlocal elasticity theory, in which nonlocal parameter is introduced, is incorporated to reflect the small effect. Newmark's method is employed to solve the discretized dynamic equations. Several numerical examples are presented to examine the effect of boundary conditions, aspect ratio, side length load distribution type and load variation type on the transient behavior of SLGSs. The present work can serve as the foundation for further investigation of the transient response of multi-layered graphene sheets.
Year
DOI
Venue
2015
10.1016/j.amc.2015.02.023
Applied Mathematics and Computation
Keywords
Field
DocType
kp-ritz method,single-layered graphene sheets,transient analysis
Transient response,Boundary value problem,Discretization,Mathematical optimization,Graphene,Mathematical analysis,Elasticity (physics),Ritz method,Transient analysis,Plate theory,Mathematics
Journal
Volume
Issue
ISSN
258
C
0096-3003
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Yang Zhang100.34
L. W. Zhang2154.40
K. M. Liew321419.27
J. L. Yu400.34