• 文献标题:   Thermal effects on the stability of circular graphene sheets via nonlocal continuum mechanics
  • 文献类型:   Article
  • 作  者:   ASEMI SR, FARAJPOUR A, BORGHEI M, HASSANI AH
  • 作者关键词:   buckling, nonlocal plate model, thermal elasticity, circular graphene sheet, decoupling
  • 出版物名称:   LATIN AMERICAN JOURNAL OF SOLIDS STRUCTURES
  • ISSN:   1679-7825
  • 通讯作者地址:   Islamic Azad Univ
  • 被引频次:   24
  • DOI:   10.1590/S1679-78252014000400009
  • 出版年:   2014

▎ 摘  要

Recently, graphene sheets have shown significant potential for environmental engineering applications such as wastewater treatment. Different non-classical theories have been used for modeling of such nano-sized systems to take account of the effect of small length scale. Among all size-dependent theories, the nonlocal elasticity theory has been commonly used to examine the stability of nano-sized structures. Some research works have been reported about the mechanical behavior of rectangular nanoplates with the consideration of thermal effects. However, in comparison with the rectangular graphene sheets, research works about the nanoplates of circular shape are very limited, especially for the buckling properties with thermal effects. Hence, in this paper, an axisymmetric buckling analysis of circular single-layered graphene sheets (SLGS) is presented by decoupling the nonlocal equations of Eringen theory. Constitutive relations are modified to describe the nonlocal effects. The governing equations are derived using equilibrium equations of the circular plate in polar coordinates. Numerical solutions for buckling loads are computed using Galerkin method. It is shown that nonlocal effects play an important role in the buckling of circular nanoplates. The effects of the small scale on the buckling loads considering various parameters such as the radius of the plate, radius-to-thickness ratio, temperature change and mode numbers are investigated.