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A NUMERICAL STUDY OF THE IMPACT ENERGY DECAY IN A COMPOSITE GRANULAR CHAIN

机译:复合颗粒链中冲击能量衰减的数值研究

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摘要

A numerical study has been performed on the impact energy decay in a symmetric granular chain with two interfaces and two sets of particles. We have observed an interesting crossover in the universal power-law behavior of the trapped energy versus time. That is, in early times the log-log curve of the remained energy inside the light-section particles versus the elapsed time changes linearly, at a certain time it has a noticeable bend, then it varies linearly again and becomes steeper. These two regions are called as the compression branch and the dilation branch, respectively, because in the compression branch the heavy particles close to both interfaces keep in contact whereas in the dilation branch there are a series of gaps between them.There exists a great difference in the average reflection frequency between compression and dilation state. The extended calculations yield an approximate expression of the exponent of compression state. Furthermore, based on event-driven simulations and the intermittency of wave reflections, we obtain the probability distribution functions of the waiting time τ and the energy leakage △E. They exhibit lognormal distributions, which together with the relationship between △E and τallow one to explain directly the power-law behavior of the confined energy.
机译:对具有两个界面和两组粒子的对称颗粒链中的冲击能衰减进行了数值研究。我们已经观察到,被俘获能量的通用幂律行为随时间发生了有趣的交叉。即,在早期,光切面粒子内部的剩余能量的对数-对数曲线相对于经过的时间呈线性变化,在一定时间具有明显的弯曲,然后再次线性变化并变陡。这两个区域分别称为压缩分支和膨胀分支,因为在压缩分支中,靠近两个界面的重粒子保持接触,而在膨胀分支中,它们之间存在一系列间隙。在压缩和膨胀状态之间的平均反射频率。扩展的计算得出压缩状态指数的近似表达式。此外,基于事件驱动的仿真和波反射的间歇性,我们获得了等待时间τ和能量泄漏△E的概率分布函数。它们表现出对数正态分布,并与ΔE和τallow之间的关系一起直接解释了约束能量的幂律行为。

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  • 会议地点 Beijing(CN)
  • 作者单位

    C. S. Liu@Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences,P. O. Box 1129, Hefei 230031, P. R. China--P. J. Wang@Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences,P. O. Box 1129, Hefei 230031, P. R. China--Z. G.Zhu@Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences,P. O. Box 1129, Hefei 230031, P. R. China.--;

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  • 原文格式 PDF
  • 正文语种 eng;chi
  • 中图分类 物理学;
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