On the geometric character of stress in continuum mechanics

被引：52

作者：

Kanso, Eva ^{[1
]}

Arroyo, Marino

Tong, Yiying

Yavari, Arash

Marsden, Jerrold G.

Desbrun, Mathieu

机构：

[1] Univ So Calif, Los Angeles, CA 90089 USA

[2] Univ Politecn Cataluna, Barcelona, Spain

[3] CALTECH, Pasadena, CA 91125 USA

[4] Georgia Inst Technol, Atlanta, GA 30332 USA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2007年 / 58卷 / 05期

关键词：

continuum mechanics; elasticity; stress tensor; differential forms;

D O I：

10.1007/s00033-007-6141-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper shows that the stress field in the classical theory of continuum mechanics may be taken to be a covector-valued differential two-form. The balance laws and other fundamental laws of continuum mechanics may be neatly rewritten in terms of this geometric stress. A geometrically attractive and covariant derivation of the balance laws from the principle of energy balance in terms of this stress is presented.

引用

页码：843 / 856

页数：14

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