• 文献标题:   A membrane theory for circular graphene sheets, based on a hyperelastic material model for large deformations
  • 文献类型:   Article, Early Access
  • 作  者:   HOLLER R, LIBISCH F, HELLMICH C
  • 作者关键词:   graphene, membrane theory, hyperelasticity, principle of virtual power, axisymmetric load, bending problem
  • 出版物名称:   MECHANICS OF ADVANCED MATERIALS STRUCTURES
  • ISSN:   1537-6494 EI 1537-6532
  • 通讯作者地址:   TU Wien Vienna Univ Technol
  • 被引频次:   0
  • DOI:   10.1080/15376494.2020.1785598 EA JUL 2020
  • 出版年:  

▎ 摘  要

Large deflections relevant for suspended circular graphene sheets with simply supported boundaries are computed by a theory for 2D membranes subjected to several types of vertical axisymmetric forces, based on the principle of virtual power (PVP). Corresponding stress-strain relations are provided in the form of a nonlinear hyperelastic material model for graphene. When approximating the deflections through Fourier series, the PVP yields a nonlinear algebraic system of equations, which is solved by the iterative Newton-Raphson procedure. The new computational efficient method is validated through comparison of the numerical results it provides, with predictions obtained from experimental nanoindentaion measurements.