Transient analysis of single-layered graphene sheet using the kp-Ritz method and nonlocal elasticity theory

被引：35

作者：

Zhang, Yang ^{[1
,2
]}

Zhang, L. W. ^{[3
]}

Liew, K. M. ^{[2
,4
]}

Yu, J. L. ^{[1
]}

机构：

[1] Univ Sci & Technol China, CAS Key Lab Mech Behav & Design Mat, Hefei 230026, Peoples R China

[2] City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Hong Kong, Peoples R China

[3] Shanghai Ocean Univ, Coll Informat Technol, Shanghai 201306, Peoples R China

[4] City Univ Hong Kong, Shenzhen Res Inst Bldg, Shenzhen, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 258卷

基金：

中国国家自然科学基金;

关键词：

Single-layered graphene sheets; Transient analysis; kp-Ritz method; REINFORCED COMPOSITE PLATES; FREE-VIBRATION ANALYSIS; BUCKLING ANALYSIS; CARBON NANOTUBES; BEAM THEORY; MODEL;

D O I：

10.1016/j.amc.2015.02.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：489 / 501

页数：13

共 50 条

[1] Nonlocal continuum model for vibration of single-layered graphene sheets based on the element-free kp-Ritz method
Zhang, Yang
Lei, Z. X.
Zhang, L. W.
Liew, K. M.
Yu, J. L.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 56 : 90 - 97
[2] Vibration analysis of a single-layered graphene sheet embedded in visco-Pasternak's medium using nonlocal elasticity theory
Zenkour, Ashraf M.
JOURNAL OF VIBROENGINEERING, 2016, 18 (04) : 2319 - 2330
[3] Nonlocal transient thermal analysis of a single-layered graphene sheet embedded in viscoelastic medium
Zenkour, Ashraf M.
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2016, 79 : 87 - 97
[4] Buckling analysis of graphene sheets embedded in an elastic medium based on the kp-Ritz method and non-local elasticity theory
Zhang, Yang
Zhang, L. W.
Liew, K. M.
Yu, J. L.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2016, 70 : 31 - 39
[5] Buckling Analysis of Single Layered Graphene Sheet Under Biaxial Compression Using Nonlocal Elasticity Theory and DQ Method
Pradhan, S. C.
Kumar, A.
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2011, 8 (07) : 1325 - 1334
[6] Transverse vibration analysis of single-layered graphene sheet under magneto-thermal environment based on nonlocal plate theory
Mandal, U.
Pradhan, S. C.
JOURNAL OF APPLIED PHYSICS, 2014, 116 (16)
[7] Nonlinear thermo-nonlocal vibration and instability analysis of an embedded single-layered graphene sheet conveying nanoflow using differential quadrature method
Arani, A. Ghorbanpour
Maboudi, M. J.
Haghighi, H.
Kolahchi, R.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2013, 227 (09) : 2104 - 2117
[8] CALIBRATION OF NONLOCAL SCALE EFFECT PARAMETER FOR BENDING SINGLE-LAYERED GRAPHENE SHEET UNDER MOLECULAR
Huang, L. Y.
Han, Q.
Liang, Y. J.
NANO, 2012, 7 (05)
[9] Small scale effect on the buckling analysis of single-layered graphene sheet embedded in an elastic medium based on nonlocal plate theory
Pradhan, S. C.
Murmu, T.
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2010, 42 (05) : 1293 - 1301
[10] Nonlocal dynamic response of embedded single-layered graphene sheet via analytical approach
Arani, A. Ghorbanpour
Jalaei, M. H.
JOURNAL OF ENGINEERING MATHEMATICS, 2016, 98 (01) : 129 - 144

← 1 2 3 4 5 →