An inf-sup test for shell finite elements

被引:61
作者
Bathe, KJ
Iosilevich, A
Chapelle, D
机构
[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
[2] INRIA Rocquencourt, F-78153 Le Chesnay, France
关键词
shell elements; mixed formulations; MITC elements; inf-sup condition;
D O I
10.1016/S0045-7949(99)00213-8
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present an inf-sup test for general mixed shell finite element discretizations. The test is useful in the thorough evaluation of a shell finite element discretization scheme. We apply the test to the MITC shell elements and find that these elements pass the test. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:439 / 456
页数:18
相关论文
共 16 条
[1]   Locking-free finite element methods for shells [J].
Arnold, DN ;
Brezzi, F .
MATHEMATICS OF COMPUTATION, 1997, 66 (217) :1-14
[2]  
BATHE KJ, 1996, FINITE ELEMENT PROCE
[3]  
BATHE KJ, IN PRESS COMPUTERS S
[4]   A DISCOURSE ON THE STABILITY CONDITIONS FOR MIXED FINITE-ELEMENT FORMULATIONS [J].
BREZZI, F ;
BATHE, KJ .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 82 (1-3) :27-57
[5]  
Brezzi F., 2012, MIXED HYBRID FINITE, V15
[6]  
Bucalem ML, 1998, ADVANCES IN FINITE ELEMENT PROCEDURES AND TECHNIQUES, P53
[7]   HIGHER-ORDER MITC GENERAL SHELL ELEMENTS [J].
BUCALEM, ML ;
BATHE, KJ .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (21) :3729-3754
[8]   Stabilized finite element formulations for shells in a bending dominated state [J].
Chapelle, D ;
Stenberg, R .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 36 (01) :32-73
[9]   THE INF-SUP TEST [J].
CHAPELLE, D ;
BATHE, KJ .
COMPUTERS & STRUCTURES, 1993, 47 (4-5) :537-545
[10]   Fundamental considerations for the finite element analysis of shell structures [J].
Chapelle, D ;
Bathe, KJ .
COMPUTERS & STRUCTURES, 1998, 66 (01) :19-36