An Eringen-like model for Timoshenko nanobeams

被引：66
作者：
Barretta, Raffaele [1 ]
Feo, Luciano [2 ]
Luciano, Raimondo [3 ,4 ]
de Sciarra, Francesco Marotti [1 ]
机构：
[1] Univ Naples Federico II, Dept Struct Engn & Architecture, Via Claudio 25, I-80121 Naples, Italy
[2] Univ Salerno, Dept Civil Engn, I-84084 Fisciano, SA, Italy
[3] Univ Cassino, Dept Civil & Mech Engn, Via G Di Biasio 43, I-03043 Cassino, Italy
[4] Southern Lazio, Via G Di Biasio 43, I-03043 Cassino, Italy
来源：
COMPOSITE STRUCTURES | 2016年 / 139卷
关键词：
Nano-structures; Elasticity; Analytical modeling; Nonlocal Timoshenko nanobeams; GRADIENT ELASTICITY; VARIATIONAL FORMULATIONS; INSTABILITY ANALYSIS; NANO; PLASTICITY;
D O I：
10.1016/j.compstruct.2015.11.048
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Timoshenko nanobeams are investigated by using a nonlocal Eringen-like constitutive law described by two material length-scale parameters. A nonlocal variational treatment, based on a new definition of the Helmholtz free energy is proposed. The ensuing system of ordinary differential equations of nonlocal elastic equilibrium is consistently obtained with the corresponding boundary conditions. New closed form solutions of nonlocal Timoshenko nanobeams are established and comparisons with gradient and local formulations are performed. Finally, two examples are illustrated to assess nonlocality effects. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：104 / 110
页数：7
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