Application of bi-Helmholtz nonlocal elasticity and molecular simulations to the dynamical response of carbon nanotubes

C.Chr. Koutsoumaris, G. Vogiatzis, D.N. Theodorou, G.J. Tsamasphyros

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

18 Citations (Scopus)
1 Downloads (Pure)

Abstract

The nonlocal theory of elasticity is employed for the study of the free vibrations of carbon nanotubes (CNT). For the first time, a bi-Helmholtz operator has been used instead of the standard Helmholtz operator in a nonlocal beam model. Alongside the continuum formulation and its numerical solution, atomistic Molecular Dynamics (MD) simulations have been conducted in order to directly evaluate the eigenfrequencies of vibrating CNTs with a minimum of adjustable parameters. Our results show that the bi-Helmholtz operator is the most appropriate one to fit MD simulation results. However, the estimation of vibration eigenfrequencies from molecular simulations still remains an open (albeit well-posed) problem.

Original languageEnglish
Title of host publicationInternational Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015
EditorsT.E. Simos, Z. Kalogiratou, T. Monovasilis
Place of PublicationMelville
PublisherAmerican Institute of Physics
Pages1-5
Volume1702
ISBN (Electronic)978-0-7354-1349-8
DOIs
Publication statusPublished - 31 Dec 2015
EventInternational Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015 - Athens, Greece
Duration: 20 Mar 201523 Mar 2015

Conference

ConferenceInternational Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015
Abbreviated titleICCMSE 2015
CountryGreece
CityAthens
Period20/03/1523/03/15

Keywords

  • Carbon Nanotubes
  • Eigenfrequencies
  • Molecular Dynamics
  • Nonlocal Mechanics

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