Moving regions in Euclidean space and Reynolds' transport theorem

被引：13
作者：
Lidstrom, P. [1 ]
机构：
[1] Lund Univ, Div Mech, S-22100 Lund, Sweden
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2011年 / 16卷 / 04期
关键词：
moving regions; Reynolds' transport theorem; INTERFACES;
D O I：
10.1177/1081286510393805
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper gives new demonstrations of Reynolds' transport theorems for moving regions in Euclidean space. For moving volume regions the proof is based on differential forms and Stokes' formula. Moving curves and surface regions are defined and the intrinsic normal time derivative is introduced. The corresponding surface transport theorem is derived using the partition of unity and the surface divergence theorem. A proof of the surface divergence theorem is also given.
引用
收藏
页码：366 / 380
页数：15
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