Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept

被引：260
作者：
Ahouel, Mama [1 ]
Houari, Mohammed Sid Ahmed [1 ,2 ]
Bedia, E. A. Adda [1 ]
Tounsi, Abdelouahed [1 ,3 ,4 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Dept Civil Engn, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria
[2] Univ Mascara, Dept Genie Civil, Mascara, Algeria
[3] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Dept Genie Civil, Lab Struct & Mat Avances Genie Civil & Travaux Pu, Sidi Bel Abbes, Algeria
[4] Univ Djillali Liabes Sidi Bel Abbes, Lab Modelisat & Simulat Multiechelle, Dept Phys, Fac Sci Exactes, Sidi Bel Abbes, Algeria
来源：
STEEL AND COMPOSITE STRUCTURES | 2016年 / 20卷 / 05期
关键词：
nanobeam; nonlocal elasticity theory; bending; buckling; vibration; functionally graded materials; neutral surface position; WALLED CARBON NANOTUBES; FREE-VIBRATION ANALYSIS; HIGHER-ORDER SHEAR; REFINED PLATE-THEORY; NONLOCAL ELASTICITY; BUCKLING ANALYSIS; WAVE-PROPAGATION; NONLINEAR VIBRATION; BENDING ANALYSIS; SANDWICH PLATES;
D O I：
10.12989/scs.2016.20.5.963
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
A nonlocal trigonometric shear deformation beam theory based on neutral surface position is developed for bending, buckling, and vibration of functionally graded (FG) nanobeams using the nonlocal differential constitutive relations of Eringen. The present model is capable of capturing both small scale effect and transverse shear deformation effects of FG nanobeams, and does not require shear correction factors. The material properties of the FG nanobeam are assumed to vary in the thickness direction. The equations of motion are derived by employing Hamilton's principle, and the physical neutral surface concept. Analytical solutions are presented for a simply supported FG nanobeam, and the obtained results compare well with those predicted by the nonlocal Timoshenko beam theory.
引用
收藏
页码：963 / 981
页数：19
相关论文
共 87 条
[1]  
Abdelbari S, 2016, WIND STRUCT, V22, P329
[2]   A new nonlocal hyperbolic shear deformation theory for nanobeams embedded in an elastic medium [J].
Aissani, Khadidja ;
Bouiadjra, Mohamed Bachir ;
Ahouel, Mama ;
Tounsi, Abdelouahed .
STRUCTURAL ENGINEERING AND MECHANICS, 2015, 55 (04) :743-763
[3]   Wave propagation of a functionally graded beam in thermal environments [J].
Akbas, Seref Doguscan .
STEEL AND COMPOSITE STRUCTURES, 2015, 19 (06) :1421-1447
[4]   Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position [J].
Al-Basyouni, K. S. ;
Tounsi, Abdelouahed ;
Mahmoud, S. R. .
COMPOSITE STRUCTURES, 2015, 125 :621-630
[5]   Nonlocal elasticity effect on column buckling of multiwalled carbon nanotubes under temperature field [J].
Amara, Khaled ;
Tounsi, Abdelouahed ;
Mechab, Ismail ;
Adda-Bedia, El Abbas .
APPLIED MATHEMATICAL MODELLING, 2010, 34 (12) :3933-3942
[6]  
[Anonymous], 2009, ASME POW TRANSM GEAR, DOI DOI 10.1115/DETC2009-86254
[7]   Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories [J].
Attia, Amina ;
Tounsi, Abdelouahed ;
Bedia, E. A. Adda ;
Mahmoud, S. R. .
STEEL AND COMPOSITE STRUCTURES, 2015, 18 (01) :187-212
[8]   Non-linear transverse vibrations of tensioned nanobeams using nonlocal beam theory [J].
Bagdatli, Suleyman M. .
STRUCTURAL ENGINEERING AND MECHANICS, 2015, 55 (02) :281-298
[9]   Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations [J].
Bakora, Ahmed ;
Tounsi, Abdelouahed .
STRUCTURAL ENGINEERING AND MECHANICS, 2015, 56 (01) :85-106
[10]   On the Thermal Buckling Characteristics of Armchair Single-Walled Carbon Nanotube Embedded in an Elastic Medium Based on Nonlocal Continuum Elasticity [J].
Bedia, W. Adda ;
Benzair, Abdelnour ;
Semmah, Abdelwahed ;
Tounsi, Abdelouahed ;
Mahmoud, S. R. .
BRAZILIAN JOURNAL OF PHYSICS, 2015, 45 (02) :225-233
123456789