A gradient model for torsion of nanobeams

被引：11

作者：

de Sciarra, Francesco Marotti ^{[1
]}

Canadija, Marko ^{[2
]}

Barretta, Raffaele ^{[1
]}

机构：

[1] Dept Struct Engn & Architecture, I-80121 Naples, Italy

[2] Univ Rijeka, Fac Engn, Dept Engn Mech, Rijeka 51000, Croatia

来源：

COMPTES RENDUS MECANIQUE | 2015年 / 343卷 / 04期

关键词：

Nanobeams; Size effects; Nonlocal thermodynamics; Nonlocal torsion; Analytical solutions; CARBON NANOTUBES; LENGTH SCALE; ELASTICITY; FORMULATIONS; PLASTICITY;

D O I：

10.1016/j.crme.2015.02.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A first-order gradient model based on the Eringen nonlocal theory is presented. The variational formulation, the governing differential equation and both classical and non-classical boundary conditions of nonlocal nanobeams subjected to torsional loading distributions are derived using a thermodynamic approach, thus providing closed-form solutions. Nanocantilevers and fully campled nanobeams are considered to investigate the size-dependent static behavior of the proposed model in terms of torsional rotations and moments. The results are thus compared to those of the Eringen model, gradient elasticity theory and classical (local) model. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：289 / 300

页数：12

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