Some Problems on the Jump Conditions of Shock Waves in 3-Dimensional Solids

LI Yong-chi; YAO Lei; HU Xiu-zhang; CAO Jie-dong; DONG Jie

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(2): 170-176

LI Yong-chi, YAO Lei, HU Xiu-zhang, CAO Jie-dong, DONG Jie. Some Problems on the Jump Conditions of Shock Waves in 3-Dimensional Solids[J]. Applied Mathematics and Mechanics, 2006, 27(2): 170-176.

Citation:

LI Yong-chi, YAO Lei, HU Xiu-zhang, CAO Jie-dong, DONG Jie. Some Problems on the Jump Conditions of Shock Waves in 3-Dimensional Solids[J]. Applied Mathematics and Mechanics, 2006, 27(2): 170-176.

Citation:

LI Yong-chi, YAO Lei, HU Xiu-zhang, CAO Jie-dong, DONG Jie. Some Problems on the Jump Conditions of Shock Waves in 3-Dimensional Solids[J]. Applied Mathematics and Mechanics, 2006, 27(2): 170-176.

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Some Problems on the Jump Conditions of Shock Waves in 3-Dimensional Solids

Department of Mechanics and Engineering, University of Science and Technology of China, Hefei 230027, P. R. China

Received Date: 2004-11-16
Rev Recd Date: 2005-10-29
Publish Date: 2006-02-15

Abstract

Abstract

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 of the shock waves in 3-dimensional solids, i. e. the Hugoniot curves were analysed, which provide the foundation to study the coupling effects of shock waves in 3-dimensional solids.
- 3-dimensional solid,
- shock wave,
- jump condition,
- shock response curve

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References(10)

References

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