On the choice of local element frame for corotational triangular shell elements

被引：27
作者：
Battini, JM [1 ]
Pacoste, C
机构：
[1] Royal Inst Technol, KTH, Dept Mech, SE-10044 Stockholm, Sweden
[2] Swedish Natl Rd Adm Consulting Serv, SE-17104 Solna, Sweden
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2004年 / 20卷 / 10期
关键词：
corotational formulation; shell finite elements;
D O I：
10.1002/cnm.710
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the context of corotational triangular shell elements, the objective of this paper is to show that for certain stability problems it is interesting to choose a local element frame invariant to the element node ordering. Two methods of obtaining such a local frame are presented. These two methods, already proposed by other authors, are reformulated. For the first one, based on the minimisation of local nodal displacements, it is shown that the iterative process can be avoided. Copyright (C) 2004 John Wiley Sons, Ltd.
引用
收藏
页码：819 / 825
页数：7
相关论文
共 13 条
[1]   Improved minimal augmentation procedure for the direct computation of critical points [J].
Battini, JM ;
Pacoste, C ;
Eriksson, A .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (16-18) :2169-2185
[2]   Plastic instability of beam structures using co-rotational elements [J].
Battini, JM ;
Pacoste, C .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (51-52) :5811-5831
[3]   Co-rotational beam elements with warping effects in instability problems [J].
Battini, JM ;
Pacoste, C .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (17-18) :1755-1789
[4]   A unified co-rotational framework for solids, shells and beams [J].
Crisfield, MA ;
Moita, GF .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1996, 33 (20-22) :2969-2992
[5]  
DEVEUBEKE BF, 1976, INT J ENG SCI, V14, P895, DOI DOI 10.1016/0020-7225(76)90102-6
[6]   Element formulation and numerical techniques for stability problems in shells [J].
Eriksson, A ;
Pacoste, C .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (35) :3775-3810
[7]  
HAUGEN B, 1995, CUCAS9506 U COL DEP
[8]   FINITE ROTATION ANALYSIS AND CONSISTENT LINEARIZATION USING PROJECTORS [J].
NOUROMID, B ;
RANKIN, CC .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 93 (03) :353-384
[9]  
NYGARD MK, 1986, THESIS NTH
[10]   Co-rotational flat facet triangular elements for shell instability analyses [J].
Pacoste, C .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 156 (1-4) :75-110
12