LIE GROUPOIDS AND ALGEBROIDS APPLIED TO THE STUDY OF UNIFORMITY AND HOMOGENEITY OF MATERIAL BODIES

被引：4
|
作者：
Jimenez Morales, Victor Manuel [1 ]
de Leon, Manuel [1 ]
Epstein, Marcelo [2 ]
机构：
[1] CSIC UAM UC3M UCM, Inst Ciencias Matemat, C Nicolas Cabrera 13-15, Madrid 28049, Spain
[2] Real Acad Ciencias Exactas Fis & Nat, C Valverde 22, Madrid 28004, Spain
来源：
JOURNAL OF GEOMETRIC MECHANICS | 2019年 / 11卷 / 03期
关键词：
Lie algebroid; Lie groupoid; homogeneity; uniformity; material groupoid; material algebroid; G-structure; derivation; CONTINUOUS DISTRIBUTIONS;
D O I：
10.3934/jgm.2019017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Lie groupoid, called material Lie groupoid, is associated in a natural way to any elastic material. The corresponding Lie algebroid, called material algebroid, is used to characterize the uniformity and the homogeneity properties of the material. The relation to previous results in terms of G-structures is discussed in detail. An illustrative example is presented as an application of the theory.
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页码：301 / 324
页数：24
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