Hugoniot线上的一个经验常数——来自多孔材料Hugoniot数据的对比研究

An Empirical Material Constant on the Hugoniot of Solids: From Comparative Study of Porous Materials

对不同初始密度样品冲击压缩Hugoniot数据的系统分析显示,对每种固体物质而言存在一个表征材料特性的沿其Hugoniot线不随冲击压力而变的经验常数β。β的数值随材料而异。对金属元素而言,该经验特性常数β与初始密实密度ρ0之间遵循同一个幂指数关系。利用该常数β,可很方便地对不同初始密度的Hugoniot数据进行换算,并可以很方便地获得Gr櫣neisen参数。还对β值为常数的适用范围作了讨论。

From the systemically comparative study of previous experimental solid Hugoniot data of different porous samples, a new material parameter β , which keeps in constant along Hugoniot for all kinds of solid materials, was revealed. For different materials, the value of β is different.There exist an universal power relationship between material constant β and initial density ρ_ 0 for metal. By using this constant β , Hugoniot data between different porous samples can be converted very simply, and Grüneisen parameter can also be obtained very easily. The limitation of this empirical material parameter being as a constant was discussed with variations of pressure and porosity.