Variational principles for multi-walled carbon nanotubes undergoing buckling based on nonlocal elasticity theory

被引：106
|
作者：
Adali, S. [1 ]
机构：
[1] Univ KwaZulu Natal, Sch Mech Engn, Durban, South Africa
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 35期
关键词：
variational principles; carbon nanotubes; semi-inverse method; buckling of nanotubes; nonlocal theory; small scale effects;
D O I：
10.1016/j.physleta.2008.07.003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Variational principles are derived for multi-walled carbon nanotubes undergoing buckling using the semi-inverse method. Derivations are based on the continuum modelling of nanotubes taking into account small scale effects via the nonlocal theory of elasticity. Natural and geometric boundary conditions for multi-walled nanotubes are derived which leads to a set of coupled boundary conditions. (C) 2008 Elsevier B.V. All rights reserved.
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页码：5701 / 5705
页数：5
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