On the geometrically exact beam model: A consistent, effective and simple derivation from three-dimensional finite-elasticity

被引:57
作者
Auricchio, F. [1 ,2 ,3 ]
Carotenuto, P. [1 ]
Reali, A. [1 ,2 ,3 ]
机构
[1] Univ Pavia, DMS, I-27100 Pavia, Italy
[2] EUCENTER, Pavia, Italy
[3] CNR, IMATI, I-27100 Pavia, Italy
关键词
beam; finite-strain; geometrically exact; extended polar decomposition; small-strain; virtual work;
D O I
10.1016/j.ijsolstr.2008.04.015
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The goal of the present work is to emphasize some intrinsic features of the three-dimensional beam model originally proposed by Simo [Simo, J.C., 1985. A finite-strain beam formulation. The three-dimensional dynamic problem. Part I. Comput. Methods Appl. Mech. Eng. 49, 55-70] and to derive the model equations for the general finite-deformation case as well as for the finite-deformation small-strain case in a consistent but simpler way with respect to what it is generally done in the literature. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4766 / 4781
页数:16
相关论文
共 23 条
[1]   Frame-indifferent beam finite elements based upon the geometrically exact beam theory [J].
Betsch, P ;
Steinmann, P .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 54 (12) :1775-1788
[2]   Unsheared triads and extended polar decompositions of the deformation gradient [J].
Boulanger, P ;
Hayes, M .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2001, 36 (03) :399-420
[3]   Extended polar decompositions for plane strain [J].
Boulanger, Ph. ;
Hayes, M. .
JOURNAL OF ELASTICITY, 2006, 83 (01) :29-64
[4]   A BEAM FINITE-ELEMENT NON-LINEAR THEORY WITH FINITE ROTATIONS [J].
CARDONA, A ;
GERADIN, M .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1988, 26 (11) :2403-2438
[5]   A 3D finite element method for flexible multibody systems [J].
Gerstmayr, Johannes ;
Schoeberl, Joachim .
MULTIBODY SYSTEM DYNAMICS, 2006, 15 (04) :309-324
[6]  
HJELMSTAD KD, 1997, FUNDAMENTALS STRUCTU
[7]  
Holzapfel G.A., 2000, Nonlinear Solid Mechanics: A Continuum Approach for Engineering
[8]   ON FINITE-ELEMENT IMPLEMENTATION OF GEOMETRICALLY NONLINEAR REISSNER BEAM THEORY - 3-DIMENSIONAL CURVED BEAM ELEMENTS [J].
IBRAHIMBEGOVIC, A .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 122 (1-2) :11-26
[9]   COMPUTATIONAL ASPECTS OF VECTOR-LIKE PARAMETRIZATION OF 3-DIMENSIONAL FINITE ROTATIONS [J].
IBRAHIMBEGOVIC, A ;
FREY, F ;
KOZAR, I .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (21) :3653-3673
[10]   On the role of frame-invariance in structural mechanics models at finite rotations [J].
Ibrahimbegovic, A ;
Taylor, RL .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (45) :5159-5176