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Stability analysis of nanocones under external pressure and axial compression using a nonlocal shell model

Firouz Abadi, R. D ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.physe.2012.05.005
  3. Publisher: 2012
  4. Abstract:
  5. A nonlocal continuum shell model is developed to study the stability of nanocones under combined loading: external pressure and compression force. The nonlinear governing equations of motion of nanocone are obtained using Hamiltons principle and the external loads are considered as prestress. Based on Eringens nonlocal elasticity theory the small-scale effect is accounted in the governing equations of motion. To obtain the critical loads, the equations are solved using Galerkin technique and the effect of small-scale parameter and geometry on the stability of nanocone is studied
  6. Keywords:
  7. Combined loading ; Compression force ; Critical load ; External loads ; External pressures ; Galerkin technique ; Governing equations of motion ; Hamiltons ; Nano-cones ; Nanocone ; Nonlocal ; Nonlocal continuums ; Nonlocal elasticity ; Pre-stress ; Shell models ; Stability analysis ; Elasticity ; Equations of motion ; Loading ; Nanostructures
  8. Source: Physica E: Low-Dimensional Systems and Nanostructures ; Volume 44, Issue 9 , June , 2012 , Pages 1832-1837 ; 13869477 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S1386947712001786