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Variational principles for stability analysis of multi-walled carbon nanotubes based on a nonlocal elastic shell model

Asghari, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1115/ESDA2010-24473
  3. Publisher: 2010
  4. Abstract:
  5. The nonlocal continuum theories are capable to reflect the small length characteristic of nanostructures. In this work, variational principles are presented for the stability analysis of multi-walled carbon nanotubes under various mechanical loadings based on the nonlocal elastic Donnell's shell by the semi-inverse method. In this manner, a set of proper essential and natural boundary conditions for each layer of the multi-walled nanotube is derived
  6. Keywords:
  7. Carbon nanotubes ; Shell ; Small length scale ; Stability analysis ; Variational principles ; Continuum theory ; Elastic shell models ; Mechanical loading ; Multi-walled nanotubes ; Natural boundary condition ; Nonlocal ; Semi inverse methods ; Shell ; Continuum mechanics ; Inverse problems ; Systems analysis ; Variational techniques ; Multiwalled carbon nanotubes (MWCN)
  8. Source: ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, ESDA2010, Istanbul, 12 July 2010 through 14 July 2010 ; Volume 5 , 2010 , Pages 591-598 ; 9780791849194 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1618439