On a smooth geometric approach to the dynamics of media with microstructures

被引：4

作者：

Binz, E ^{[1
]}

de Leon, M

Socolescu, D

机构：

[1] Univ Mannheim, Fak Math & Informat, D-68131 Mannheim, Germany

[2] CSIC, Inst Matemat & Fis Fundamental, E-28006 Madrid, Spain

[3] Univ Kaiserslautern, Fachbereich Math, D-67663 Kaiserslautern, Germany

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1998年 / 326卷 / 04期

关键词：

cosserat media; media with microstructures; principal bundles;

D O I：

10.1016/S1251-8069(98)80030-4

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this note we show that the space of configurations of a medium with a microstructure is a principal bundle over the manifold of embeddings of the underlying macromedia. The structure group is just the group of gauge transformations. An appropriate Lagrangian function is chosen defining the dynamics of the system. The Cosserat media are considered as an example. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：227 / 232

页数：6

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