Decomposition and integral representation of Cauchy interactions associated with measures

被引：21

作者：

Marzocchi, A

Musesti, A

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat, I-25121 Brescia, Italy

[2] Univ Milan, Dipartimento Matemat, I-20121 Milan, Italy

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2001年 / 13卷 / 03期

关键词：

Cauchy interactions; balance equations; sets with finite perimeter;

D O I：

10.1007/s001610100046

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Cauchy interactions between subbodies of a continuous body are introduced in the framework of Measure Theory, extending the class of previously admissible ones. A decomposition theorem into a volume and a surface interaction is proved, as well as characterizations of the single components. Finally, an extension result and a generalized balance law are given.

引用

页码：149 / 169

页数：21

共 9 条

[1]

[Anonymous], 1991, PURE APPL MATH

[2] Cauchy fluxes associated with tensor fields having divergence measure [J].