SOME PROBLEMS ON JUMP CONDITIONS OF SHOCK WAVES IN 3-DIMENSIONAL SOLIDS

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...

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Published inApplied mathematics and mechanics Vol. 27; no. 2; pp. 187 - 194
Main Author 李永池 姚磊 胡秀章 曹结东 董杰
Format Journal Article
LanguageEnglish
Published University of Science and Technology of China, Hefei 230027, P. R. China 01.02.2006
Subjects
Conservation laws
Continuity
Descriptions
Displacement
Foundations
Joining
Mathematical analysis
Shock waves
三维固体
振动响应曲线
振动波
跳跃条件
jump conditions
3-dimensional solids
shock response curves
shock waves
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Summary: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.
Bibliography:3-dimensional solids
shock response curves
3-dimensional solids; shock waves; jump conditions; shock response curves
jump conditions
31-1650/O1
O347.5
shock waves
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
DOI:10.1007/s10483-006-0206-z