Analysis of contact of elastic rods subject to large displacements

被引：3

作者：

Béal, P

Touzani, R

机构：

[1] Numtech, F-63063 Clermont Ferrand 1, France

[2] Univ Clermont Ferrand, Lab Math Appl, UMR 6620, CNRS, F-63177 Aubiere, France

来源：

APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 04期

关键词：

elastic rods; large displacements; penalized energy formulation; frictionless constant; lower semi-continuous;

D O I：

10.1016/S0893-9659(03)80121-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a mathematical model describing the motion of two elastic rods in contact. The model allows for large displacements and is essentially based on Cosserat's modelling of rods. Using a penalty technique, we prove existence of a static solution in the case of a unique rod. The contact modelling involves unilateral constraints on the central lines of the rods. Existence is also proved for this contact problem. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：619 / 625

页数：7