THE PERFORMANCE OF A REFORMULATED 4-NODE PLATE BENDING ELEMENT IN MODERATELY THICK TO VERY THIN-PLATE APPLICATIONS

被引:6
作者
BRIASSOULIS, D
机构
[1] Department of Agricultural Engineering, Agricultural University of Athens
关键词
D O I
10.1016/0045-7949(93)90285-L
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper analyzes the behavior of a reformulated four-node Mindlin plate bending element in thin to very thin and in moderately thick element applications. The shear locking mechanism is rejected with the proposed formulation whereas machine-related locking remains the only problem potentially developed in thin element applications of the reformulated element. The solution to the machine locking problem may be achieved with the implementation of a simple technique rendering the element completely locking-free. In moderately thick element applications, the reformulated four-node plate bending element is shown to exhibit an excellent performance in accordance with Mindlin-Reissner theory. This performance, if coupled with an analogous behavior of the element in modeling boundary layers developing in thin plate applications (a work to appear soon), renders the reformulated four-node Mindlin plate bending element one of the most reliable and robust, yet simple, Mindlin C0 plate bending elements.
引用
收藏
页码:125 / 141
页数:17
相关论文
共 25 条
[1]  
Arnold D.N., 1989, ANALYTICAL COMPUTATI, P71
[2]   A 4-NODE PLATE BENDING ELEMENT BASED ON MINDLIN REISSNER PLATE-THEORY AND A MIXED INTERPOLATION [J].
BATHE, KJ ;
DVORKIN, EN .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1985, 21 (02) :367-383
[3]   A FORMULATION OF GENERAL SHELL ELEMENTS - THE USE OF MIXED INTERPOLATION OF TENSORIAL COMPONENTS [J].
BATHE, KJ ;
DVORKIN, EN .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1986, 22 (03) :697-722
[4]  
BATHE KJ, 1983, COMPUT STRUCT, V16, P89, DOI 10.1016/0045-7949(83)90150-5
[5]   THIN ELEMENT APPLICATIONS OF A NEW FORMULATION FOR C-DEGREES STRUCTURAL ELEMENTS [J].
BRIASSOULIS, D .
COMPUTERS & STRUCTURES, 1990, 37 (06) :1097-1103
[6]   THE MOMENT REDISTRIBUTION EFFECT OF THE CO STRUCTURAL ELEMENTS FORMULATION [J].
BRIASSOULIS, D .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1991, 32 (03) :541-557
[7]   ON THE BASICS OF THE SHEAR LOCKING PROBLEM OF C-O ISOPARAMETRIC PLATE ELEMENTS [J].
BRIASSOULIS, D .
COMPUTERS & STRUCTURES, 1989, 33 (01) :169-185
[8]   THE ZERO ENERGY MODES PROBLEM OF THE 9-NODE LAGRANGIAN DEGENERATED SHELL ELEMENT [J].
BRIASSOULIS, D .
COMPUTERS & STRUCTURES, 1988, 30 (06) :1389-1402
[10]   MONOMIAL TEST - TESTING THE FLEXURAL BEHAVIOR OF THE DEGENERATED SHELL ELEMENT [J].
BRIASSOULIS, D .
COMPUTERS & STRUCTURES, 1988, 29 (06) :949-958