Recursive Derivation of One-Dimensional Models from Three-Dimensional Nonlinear Elasticity
Recursive Derivation of One-Dimensional Models from Three-Dimensional Nonlinear Elasticity
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DOI：
10.1177/1081286506075357
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发表时间：
2008-04
影响因子：
2.6
通讯作者：
N. Meunier
中科院分区：
文献类型：
--
作者：
N. Meunier
在本文中，我们考虑了在恒载作用下由Saint-Venant Kirchhoff材料制成的均匀细长圆柱体的形式渐近研究。根据载荷的大小，我们得到了从可扩展弦非线性理论到柔性杆非线性理论的四个一维模型。我们的方法是基于一系列递归最小化问题的解决。
In this paper, we consider a formal asymptotic study of homogeneous slender cylinders made of a Saint-Venant Kirchhoff material submitted to dead loads. Depending on the order of magnitude of the applied loads, we obtain a hierarchy of four one-dimensional models starting from the nonlinear theory of extensible strings to the nonlinear theory of flexible bars. Our approach is based on the resolution of a sequence of recursive minimization problems.