Crossover in the power-law behavior of confined energy in a composite granular chain
Crossover in the power-law behavior of confined energy in a composite granular chain
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复合颗粒链中受限能量幂律行为的交叉
DOI：
10.1103/physreve.76.041305
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发表时间：
2007-10-01
影响因子：
2.4
通讯作者：
Liu, C. S.
中科院分区：
文献类型：
--
作者：
Wang, P. J.;Xia, J. H.;Liu, C. S.
我们提出了一个数值研究的冲击能量衰减的复合颗粒链包含两个重和一个轻的部分。我们观察到一个显着的交叉的幂律行为的冲击能量衰减。平均反射频率首先随着加速度的减小而增加，在“交叉”时刻达到最大值，然后几乎呈指数衰减。分析表明，这一现象与两个重粒子截面的结构从压缩态到膨胀态的转变有关。进一步的计算表明，压缩态幂律指数γ（cb）与复合颗粒链的质量比m（2）/m（1）和赫兹律指数n的关系类似于（m（2）/m（1））（1/（n+1））。
We present a numerical study of the impact energy decay in a composite granular chain containing two heavy and one light sections. We observe a marked crossover in the power-law behavior of the impact-energy decay. The average reflection frequency first increases with a decreasing acceleration, and arrives at its maximum at "crossing" time then decays almost exponentially. The analysis demonstrates that this phenomenon is related to the structural transition from compression to dilation state in both heavy-particle sections. The further calculations suggest the dependence relation of the power-law exponent (gamma(cb)) in compression state on the mass ratio (m(2)/m(1)) and the Hertz law exponent (n) of the composite granular chain gamma(cb)similar to(m(2)/m(1))(1/(n+1)).