石灰岩飞片撞击实验与高压状态方程研究

Limestone Flyer-Plate-Impact Experiment and State Equation Under High Pressure

  • 摘要: 石灰岩是地壳中分布最广的矿产之一,其高压状态方程在隧道爆破、矿产开采、武器毁伤效应与工程防护等数值计算方面具有广阔应用需求. 为研究石灰岩高速冲击压缩特性,采用20 mm口径二级轻气炮设备,开展了3种石灰岩共21次飞片高速撞击实验. 采用测速探针/高速相机、高灵敏度压力传感器设备,测量得到了飞片速度和冲击波历时,飞片最低速度为1.02 km/s、最高为3.91 km/s,结合飞片和石灰岩试件已知材料参数,计算得到了高速撞击产生的压力最低为5.64 GPa、最高达30.22 GPa. 采用最小二乘法分析得到了石灰岩冲击波速D与粒子速度u的线性关系,其中A类石灰岩D=2.887+0.798u,B类石灰岩D=2.872+0.892u,C类石灰岩D=2.575+1.086u. 采用双参数三次多项式对石灰岩冲击压力p与体积应变μ关系进行了非线性拟合,其中A类石灰岩p=145.28μ3+24.44μ,B类石灰岩p=169.18μ3+25.45μ,C类石灰岩p=206.57μ3+21.10μ. 结合石灰岩矿物组成分析可知,当密度和硬度越高的矿物含量越多时,飞片撞击速度增加导致的石灰岩冲击波速和冲击压力增长率更大. 研究结果可为石灰岩本构模型状态方程参数标定等提供宝贵的数据支撑.

     

    Abstract: Demanded widely in numerical calculations, the high-pressure state equations of limestone were studied for civil engineering, such as tunnel blasting, mineral mining, weapon damage effects, and engineering protection with the limestone distributed widely in the Earth's crust. To investigate the high-speed impact compression characteristics of limestone, the high-speed impact experiments were arranged to carried out 21 high-speed impact tests for three types of limestone, taking a 20 mm-diameter two-stage light gas gun as the main equipment. Based on velocity measurement probes, high-speed cameras and high-sensitivity pressure sensor equipment, the flyer plate velocity and shock wave duration were measured, showing the range of flyer plate velocity from 1.02 km/s to 3.91 km/s. Combining with the known material parameters of the flyer plate and limestone specimens, the calculating pressure generated with high-speed impact was presented, ranging from a minimum of 5.64 GPa to a maximum of 30.22 GPa. The linear relationship between the shock wave velocity D and particle velocity u in limestone was analyzed with the least squares method, yielding D = 2.887 + 0.798u for Type A limestone, D = 2.872 + 0.892u for Type B limestone, and D = 2.575 + 1.086u for Type C limestone. A nonlinear fit of the relationship between shock pressure p and volumetric strain μ in limestone was performed based on a two-parameter cubic polynomial, resulting in p = 145.28μ³ + 24.44μ for Type A limestone, p = 169.18μ³ + 25.45μ for Type B limestone, and p = 206.57μ³ + 21.10μ for Type C limestone. The analysis results of the limestone mineral composition show that the more of the mineral content with higher density and hardness, the faster of the growth rates both shock wave velocity and shock pressure in limestone resulted from increased flyer plate impact velocity. The research results provide valuable data support for the parameter calibration of constitutive model state equation of limestone.

     

/

返回文章
返回