On the role of frame-invariance in structural mechanics models at finite rotations

被引:97
作者
Ibrahimbegovic, A
Taylor, RL
机构
[1] Ecole Normale Super, LMT Cachan, GCE, F-94235 Cachan, France
[2] Univ Calif Berkeley, Dept CEE, Div SEMM, Berkeley, CA 94720 USA
关键词
finite rotations; structural mechanics; frame-invariance;
D O I
10.1016/S0045-7825(02)00442-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
in this work we re-examine so called geometrically exact models for structures, such as beams, shells or solids with independent rotation field, with respect to invariance under superposed rigid body motion. A special attention is given to clarifying the issues pertaining to the finite element implementation which guarantees that the invariance of the continuum problem is preserved by its discrete approximation. Several numerical simulations dealing with finite rotations of structural models are presented in order to further illustrate and confirm the given theoretical considerations. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:5159 / 5176
页数:18
相关论文
共 31 条
[1]  
[Anonymous], FINITE ELEMENT METHO
[2]  
[Anonymous], 1983, MATH FDN ELASTICITY
[3]  
ANTMAN SS, 1976, ARCH RATION MECH AN, V61, P307
[4]   AN EXCURSION INTO LARGE ROTATIONS [J].
ARGYRIS, J .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :85-&
[5]   NON-LINEAR FINITE-ELEMENT ANALYSIS OF ELASTIC-SYSTEMS UNDER NON-CONSERVATIVE LOADING NATURAL FORMULATION .1. QUASISTATIC PROBLEMS [J].
ARGYRIS, JH ;
SYMEONIDIS, S .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1981, 26 (01) :75-123
[6]   LARGE DISPLACEMENT ANALYSIS OF 3-DIMENSIONAL BEAM STRUCTURES [J].
BATHE, KJ ;
BOLOURCHI, S .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1979, 14 (07) :961-986
[7]  
BETSCH P, 2001, INT J NUMER METH ENG
[8]   SHELL THEORY VERSUS DEGENERATION - A COMPARISON IN LARGE ROTATION FINITE-ELEMENT ANALYSIS [J].
BUECHTER, N ;
RAMM, E .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 34 (01) :39-59
[9]   Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation [J].
Crisfield, MA ;
Jelenic, G .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1983) :1125-1147
[10]   ROTATION ANGLES [J].
HASSENPFLUG, WC .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 105 (01) :111-124