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

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