Hierarchy of one-dimensional models in nonlinear elasticity

被引：25

作者：

Marigo, Jean-Jacques

Meunier, Nicolas

机构：

[1] Univ Paris 06, Modelisat Mecan Lab, UMR 7607, F-75252 Paris 05, France

[2] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75013 Paris, France

来源：

JOURNAL OF ELASTICITY | 2006年 / 83卷 / 01期

关键词：

elasticity; rods; strings; asymptotic expansions; variational methods;

D O I：

10.1007/s10659-005-9036-y

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

By using formal asymptotic expansions, we build one-dimensional models for slender hyperelastic cylinders submitted to conservative loads. According to the order of magnitude of the applied loads, we obtain a hierarchy of models going from the linear theory of flexible bars to the nonlinear theory of extensible strings.

引用

页码：1 / 28

页数：28

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