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
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