Zr41Ti14Ni12.5Cu10Be22.5非晶合金冲击压缩行为理论与实验研究

Theoretical and experimental research of shock compressive behavior of Zr41Ti14Ni12.5Cu10Be22.5 amorphous alloy

摘要:

为研究Zr41Ti14Ni12.5Cu10Be22.5非晶合金的冲击压缩响应及物态方程,利用平板冲击试验,测试了受到速度为350 m/s~550 m/s的铜板冲击时,非晶合金试样的自由面粒子速度；采用阻抗匹配法得到了材料的雨贡纽参数,并利用理想混合物模型对材料的雨贡纽参数进行预估,分析对比了理论计算结果与实验结果；将求材料格林艾森物态方程转化为非线性最优化问题,提出了基于模拟退火算法的材料格林艾森物态方程计算方法,设计了退火参数表,并采用解析法计算了材料的布里希-默纳罕物态方程和三项式物态方程,对比研究了三种物态方程与实验结果.理论和实验结果表明,5~10 GPa压力范围内,Zr41Ti14Ni12.5Cu10Be22.5非晶合金的零压体积声速为4 267 m/s,D-u曲线斜率为4.376,曲线斜率远大于一般金属材料,其雨贡纽极限强度为5.60 GPa左右；理想混合物模型仅适用于计算高压区Zr基非晶合金的雨贡纽参数,低压区理论计算结果与实验结果误差较大；在5~10 GPa压力范围内,格林艾森物态方程、三项式物态方程与实验结果吻合度较高,而布里希-默纳罕物态方程误差较大,不适用于计算材料状态参量.

Abstract:

The plate-impact experiment was used to measure the response of shock pressure and the equation of state (EOS) of Zr₄₁Ti₁₄Ni_12.5Cu₁₀Be_22.5 amorphous alloy. The particle velocities of free surface were tested under impact from copper plate with the velocity from 350 m/s to 550 m/s. The Hugoniot parameters of the material were calculated by using impedance matching method, and the experimental results were compared with the computational results calculated by ideal mixture model. The problem to solve the Gruneisen EOS of the material was turned into nonlinear optimization. A novel numerical method based on simulated annealing algorithm was developed to analyze the Gruneisen EOS of the material, and the annealing scheme was designed. The Birch-Murnaghan equation and the Trinomial equation of the material were proposed by analytical method, and compared with Gruneisen EOS and the experimental results. The experimental and theoretical results show that within the pressure between 5 GPa and 10GPa, the zero-pressure volume velocity of Zr₄₁Ti₁₄Ni_12.5Cu₁₀Be_22.5 amorphous alloy was 4267 m/s, the slope of D-u curve was 4.376, which is much larger than normal metal, and the Hugoniot limit of the material was around 5.6 GPa. The ideal mixture model is only applicable to calculate the Hugoniot parameters of Zr-based amorphous alloy in high-pressure phase, whereas considerable errors will be caused under low pressure. The Gruneisen EOS and Trinomial EOS matched the experimental results well within the pressure between 5 GPa and 10 GPa, while there were major errors between the experimental results and the Birch-Murnaghan equation.