Application of gradient elasticity to armchair carbon nanotubes: Size effects and constitutive parameters assessment

被引：68
作者：
Barretta, Raffaele [1 ]
Brcic, Marino [2 ]
Canadija, Marko [2 ]
Luciano, Raimondo [3 ]
de Sciarra, Francesco Marotti [1 ]
机构：
[1] Univ Naples Federico II, Dept Struct Engn & Architecture, Via Claudio 21, I-80121 Naples, Italy
[2] Univ Rijeka, Dept Engn Mech, Fac Engn, Vukovarska 58, Rijeka 51000, Croatia
[3] Univ Cassino & Southern Lazio, Dept Civil & Mech Engn, Via G Di Biasio 43, I-03043 Cassino, FR, Italy
来源：
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2017年 / 65卷
关键词：
Nanobeams; Small size parameter; Small-size effects; Nonlocal beam; Carbon nanotubes; MECHANICAL-PROPERTIES; NONLOCAL ELASTICITY; YOUNGS MODULUS; MODEL; BERNOULLI; PREDICTION; SIMULATION; BEAMS;
D O I：
10.1016/j.euromechsol.2017.03.002
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The central focus of the paper is set on modelling of bending of armchair carbon nanotubes by means of the gradient elasticity theory. Influence of small-size effects on the Young's modulus is investigated. An attempt to determine small size (or nonlocal) parameter employed in the Bernoulli-Euler and Timoshenko gradient formulations is presented. To obtain such a goal, the paper provides an extensive set of molecular structural mechanics simulations of armchair nanotubes with different loading and kinematic boundary conditions. Dependence of the Young's modulus on small size effects is clearly noticed. Based on these results, small scale parameters for the gradient model are identified and limits of the method are pointed out. Results of the study indicate that the widely used theory should be modified to obtain a physically justified and reliable nanobeam model based on Bernoulli-Euler or Timoshenko kinematic assumptions. (C) 2017 Elsevier Masson SAS. All rights reserved.
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页码：1 / 13
页数：13
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