Some problems on jump conditions of shock waves in 3-dimensional solids

被引：2

作者：

Li, YC ^{[1
]}

Yao, L ^{[1
]}

Hu, XZ ^{[1
]}

Cao, JD ^{[1
]}

Dong, J ^{[1
]}

机构：

[1] Univ Sci & Technol China, Hefei 230027, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 02期

基金：

中国国家自然科学基金;

关键词：

3-dimensional solids; shock waves; jump conditions; shock response curves;

D O I：

10.1007/s10483-006-0206-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the general conservation laws in continuum mechanics, the Eulerian and Lagrangian descriptions of the jump conditions of shock waves in 3-dimensional solids were presented respectively. The implication of the jump conditions and their relations between each other, particularly the relation between the mass conservation and the displacement continuity, were discussed. Meanwhile the shock wave response curves in 3-dimensional solids, i.e. the Hugoniot curves were analysed, which provide the foundation for studying the coupling effects of shock waves in 3-dimensional solids.

引用

页码：187 / 194

页数：8

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