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
收藏
页码：149 / 169
页数：21
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