• 文献标题:   Transient analysis of single-layered graphene sheet using the kp-Ritz method and nonlocal elasticity theory
  • 文献类型:   Article
  • 作  者:   ZHANG Y, ZHANG LW, LIEW KM, YU JL
  • 作者关键词:   singlelayered graphene sheet, transient analysi, kpritz method
  • 出版物名称:   APPLIED MATHEMATICS COMPUTATION
  • ISSN:   0096-3003 EI 1873-5649
  • 通讯作者地址:   Shanghai Ocean Univ
  • 被引频次:   26
  • DOI:   10.1016/j.amc.2015.02.023
  • 出版年:   2015

▎ 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.