三维固体中冲击波突跃条件的某些问题

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

以一般的力学守恒定律为基础,分别导出了三维固体中冲击波突跃条件的Euler表述和Lagrange表述,并对各突跃条件的含义和相互关系特别是质量守恒条件和位移连续条件的关系进行了讨论.同时对三维固体冲击波的冲击响应曲线即广义Hugoniot曲线进行了分析,为三维固体冲击波耦合特性的研究奠定了基础.

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, particulady 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.