Buckling analysis of Reissner-Mindlin plates subjected to in-plane edge loads using a shear-locking-free and meshfree method

被引:90
作者
Bui, T. Q. [1 ]
Nguyen, M. N. [2 ]
Zhang, Ch. [1 ]
机构
[1] Univ Siegen, Chair Struct Mech, Dept Civil Engn, D-57076 Siegen, Germany
[2] Ruhr Univ Bochum, Inst Computat Engn, Dept Civil Engn, Bochum, Germany
关键词
Buckling analysis; Meshfree method; Moving Kriging interpolation; Reissner-Mindlin plate; LAMINATED COMPOSITE PLATES; FINITE-STRIP METHOD; DIFFERENTIAL QUADRATURE ANALYSIS; SELECTIVE INTEGRATION TECHNIQUES; ESSENTIAL BOUNDARY-CONDITIONS; POINT INTERPOLATION METHOD; ELEMENT-METHOD; FREE-VIBRATION; ORTHOTROPIC PLATES; RECTANGULAR-PLATES;
D O I
10.1016/j.enganabound.2011.04.001
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Buckling study of plates subjected to uniformly uniaxial, biaxial in-plane compression and pure shear loads using an efficient novel meshfree method is presented in this paper. The moving Kriging (MK) interpolation technique satisfying the Kronecker delta function property is employed to construct the shape functions. To allow for the effect of transverse shear deformation on thick plates, the first-order Reissner-Mindlin plate theory (FSDT) is adopted. The new formulation enables us to eliminate shear-locking demonstrated by various numerical examples involving both thin and moderately thick plates. It is found that the results achieved by the present approach match well with those obtained by other existing numerical approaches and analytical solutions, which illustrates the applicability, the effectiveness and the accuracy of the method. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1038 / 1053
页数:16
相关论文
共 113 条
[1]  
[Anonymous], INT J COMPUT METHODS
[2]  
[Anonymous], 1951, Journal of Applied Mechanics
[3]  
[Anonymous], THESIS U QUEENSLAND
[4]   A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics [J].
Atluri, SN ;
Zhu, T .
COMPUTATIONAL MECHANICS, 1998, 22 (02) :117-127
[5]  
Azhari M, 2000, INT J NUMER METH ENG, V48, P583, DOI 10.1002/(SICI)1097-0207(20000610)48:4<583::AID-NME898>3.0.CO
[6]  
2-A
[7]   STABILITY ANALYSIS OF SKEW ORTHOTROPIC PLATES BY FINITE STRIP METHOD [J].
BABU, PVT ;
REDDY, DV .
COMPUTERS & STRUCTURES, 1978, 8 (05) :599-607
[8]  
Belytschko T, 1995, COMPUT MECH, V17, P186
[9]   ELEMENT-FREE GALERKIN METHODS [J].
BELYTSCHKO, T ;
LU, YY ;
GU, L .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256
[10]  
Bloom F., 2000, HDB THIN PLATE BUCKL