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An asymptotic non-linear model for thin-walled rods

被引：5
|
作者：
Grillet, L
Hamdouni, A
Millet, O
机构：
[1] Univ Poitiers, Lab Modelisat Mecan & Math Appl, Poitiers, France
[2] Univ La Rochelle, Lab Etude Phenomenes Transfert Appl Batiment, La Rochelle, France
[3] Univ Lille 1, CNRS, Lab Mecan Lille, F-59655 Villeneuve Dascq, France
来源：
COMPTES RENDUS MECANIQUE | 2004年 / 332卷 / 02期
关键词：
solids and structures; thin-walled rod model; non-linear elasticity; asymptotic methods;
D O I：
10.1016/j.crme.2003.10.015
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper, we present a non-linear one-dimensional model for thin-walled rods with open strongly curved cross-section, obtained by asymptotic methods. A dimensional analysis of the non-linear three-dimensional equilibrium equations lets appear dimensionless numbers which reflect the geometry of the structure and the level of applied forces. For a given force level, the order of magnitude of the displacements and the corresponding one-dimensional model are deduced by asymptotic expansions. (C) 2003 Academie des sciences. Published by Elsevier SAS. All rights reserved.
引用
收藏
页码：123 / 128
页数：6
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