3 years ago

Modal analysis of graphene-based structures for large deformations, contact and material nonlinearities.

Roger A. Sauer, Reza Ghaffari

The nonlinear frequencies of pre-stressed graphene based structures are calculated. These structures are modeled with a nonlinear hyperelastic shell model. The model is calibrated with quantum mechanics data and is valid for high strains. Analytical solutions of the natural frequencies are obtained for the Canham bending model by assuming infinitesimal strains. These solutions are used for verification of the numerical simulation. The performance of the model is illustrated by means of several examples. The modal analysis is performed for a square plate under pure dilatation or uniaxial stretch, a circular plate under pure dilatation or under the effects of an adhesive substrate, and carbon nanotubes under uniaxial compression or stretch. The adhesive substrate is modeled with van der Waals interaction (based on the Lennard-Jones potential) and a coarse grained contact model. It is shown that the analytical natural frequencies underestimate the real ones, and this should be considered in the design of devices based on graphene structures.

Publisher URL: http://arxiv.org/abs/1801.00290

DOI: arXiv:1801.00290v1

You might also like
Never Miss Important Research

Researcher is an app designed by academics, for academics. Create a personalised feed in two minutes.
Choose from over 15,000 academics journals covering ten research areas then let Researcher deliver you papers tailored to your interests each day.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.