Nonlinear vibration analysis of graphene sheets resting on Winkler-Pasternak elastic foundation using an atomistic-continuum multiscale model

DOI10.1007/s00707-019-02490-zzbMath1431.74052OpenAlexW2967327226WikidataQ127367070 ScholiaQ127367070MaRDI QIDQ2302094

Yanyan Li

Publication date: 25 February 2020

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-019-02490-z

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (1)

A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures: a two-point formulation in Cartesian coordinates

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical validation of a concurrent atomistic-continuum multiscale method and its application to the buckling analysis of carbon nanotubes
• An atomistic-based finite deformation membrane for single layer crystalline films
• A review on the application of modified continuum models in modeling and simulation of nanostructures
• A continuum theory of elastic material surfaces
• Surface stress in solids
• Nonlinear dynamic response of single layer graphene sheets using multiscale modelling
• The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials.
• Variational differential quadrature: a technique to simplify numerical analysis of structures
• Mechanical properties of single-walled carbon nanotubes based on higher order Cauchy-Born rule
• Nonlinear forced vibration analysis of postbuckled beams
• Nonlocal polar elastic continua
• On nonlocal elasticity
• Analytical treatment of the nonlinear free vibration of cylindrical nanoshells based on a first-order shear deformable continuum model including surface influences
• The buckling of single-walled carbon nanotubes upon bending: the higher-order gradient continuum and mesh-free method
• Application of the higher-order Cauchy-Born rule in mesh-free continuum and multiscale simulation of carbon nanotubes

This page was built for publication: Nonlinear vibration analysis of graphene sheets resting on Winkler-Pasternak elastic foundation using an atomistic-continuum multiscale model