Analysis of Timoshenko nanobeams with a nonlocal formulation and meshless method

被引:176
作者
Roque, C. M. C. [2 ]
Ferreira, A. J. M. [1 ]
Reddy, J. N. [3 ]
机构
[1] Univ Porto, Dept Engn Mecan, Fac Engn, P-4200465 Oporto, Portugal
[2] Univ Porto, INEGI, Fac Engn, P-4200465 Oporto, Portugal
[3] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA
关键词
Nanobeams; Meshless methods; Nonlocal theory; EQUATIONS;
D O I
10.1016/j.ijengsci.2011.05.010
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The nonlocal elasticity theory of Eringen is used to study bending, buckling and free Vibration of Timoshenko nanobeams. A meshless method is used to obtain numerical solutions. Results are compared with available analytical solutions. Two different collocation techniques, global (RBF) and local (RBF-FD). are used with multi-quadrics radial basis functions. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:976 / 984
页数:9
相关论文
共 23 条
[1]   Nonlocal integral formulations of plasticity and damage:: Survey of progress [J].
Bazant, ZP ;
Jirásek, M .
JOURNAL OF ENGINEERING MECHANICS, 2002, 128 (11) :1119-1149
[2]  
Cecil T, 2004, J COMPUT PHYS, V196, P327, DOI 10.1016/j.jcp. 2003.11.010
[4]   NONLOCAL ELASTICITY [J].
ERINGEN, AC ;
EDELEN, DGB .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1972, 10 (03) :233-&
[5]   Developing the mechanical models for nanomaterials [J].
Guz, I. A. ;
Rodger, A. A. ;
Guz, A. N. ;
Rushchitsky, J. J. .
COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING, 2007, 38 (04) :1234-1250
[7]   A microstructure-dependent Timoshenko beam model based on a modified couple stress theory [J].
Ma, H. M. ;
Gao, X-L ;
Reddy, J. N. .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2008, 56 (12) :3379-3391
[8]   Indentation size effects in crystalline materials: A law for strain gradient plasticity [J].
Nix, WD ;
Gao, HJ .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (03) :411-425
[9]   Bernoulli-Euler beam model based on a modified couple stress theory [J].
Park, S. K. ;
Gao, X-L .
JOURNAL OF MICROMECHANICS AND MICROENGINEERING, 2006, 16 (11) :2355-2359
[10]   Application of nonlocal continuum models to nanotechnology [J].
Peddieson, J ;
Buchanan, GR ;
McNitt, RP .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2003, 41 (3-5) :305-312