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

R. D. Firouz-Abadi; M. M. Fotouhi; H. Haddadpour

doi:10.1016/j.physe.2012.05.005

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

R. D. Firouz-Abadi, M. M. Fotouhi, H. Haddadpour

Research output: Journal Publication › Article › peer-review

16 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1832-1837
Number of pages	6
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	44
Issue number	9
DOIs	https://doi.org/10.1016/j.physe.2012.05.005
Publication status	Published - Jun 2012
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

Access to Document

10.1016/j.physe.2012.05.005

Cite this

@article{d69eca0b42b4495587328d5f1a40f193,

title = "Stability analysis of nanocones under external pressure and axial compression using a nonlocal shell model",

abstract = "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.",

author = "Firouz-Abadi, \{R. D.\} and Fotouhi, \{M. M.\} and H. Haddadpour",

year = "2012",

month = jun,

doi = "10.1016/j.physe.2012.05.005",

language = "English",

volume = "44",

pages = "1832--1837",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

issn = "1386-9477",

publisher = "Elsevier B.V.",

number = "9",

}

TY - JOUR

T1 - Stability analysis of nanocones under external pressure and axial compression using a nonlocal shell model

AU - Firouz-Abadi, R. D.

AU - Fotouhi, M. M.

AU - Haddadpour, H.

PY - 2012/6

Y1 - 2012/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84863326178

U2 - 10.1016/j.physe.2012.05.005

DO - 10.1016/j.physe.2012.05.005

M3 - Article

AN - SCOPUS:84863326178

SN - 1386-9477

VL - 44

SP - 1832

EP - 1837

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 9

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this