• 文献标题:   Hygrothermal wave propagation in viscoelastic graphene under in-plane magnetic field based on nonlocal strain gradient theory
  • 文献类型:   Article
  • 作  者:   KARAMI B, SHAHSAVARI D, LI L
  • 作者关键词:   viscoelastic nanoplate, environmental magnetically effect, nonlocal strain gradient theory, graphene sheet
  • 出版物名称:   PHYSICA ELOWDIMENSIONAL SYSTEMS NANOSTRUCTURES
  • ISSN:   1386-9477 EI 1873-1759
  • 通讯作者地址:   Islamic Azad Univ
  • 被引频次:   52
  • DOI:   10.1016/j.physe.2017.11.020
  • 出版年:   2018

▎ 摘  要

A size-dependent model is developed for the hygrothermal wave propagation analysis of an embedded viscoelastic single layer graphene sheet (SLGS) under the influence of in-plane magnetic field. The bi-Helmholtz nonlocal strain gradient theory involving three small scale parameters is introduced to account for the size-dependent effects. The size-dependent model is deduced based on Hamilton's principle. The closed-form solution of eigen-frequency relation between wave number and phase velocity is achieved. By studying the size-dependent effects on the flexural wave of SLGS, the dispersion relation predicted by the developed size-dependent model can show a good match with experimental data. The influence of in-plane magnetic field, temperature and moisture of environs, structural damping, damped substrate, lower and higher order nonlocal parameters and the material characteristic parameter on the phase velocity of SLGS is explored.