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arXiv 1208.0213cond-mat.softcond-mat.dis-nn
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无序颗粒物质中的均匀Shock Waves

Uniform Shock Waves in Disordered Granular Matter

L. R. Gomez, A. M. Turner, V. Vitelli

摘要:

围压$P$可能是控制颗粒物质性质的最重要参数。在许多方面,强压缩颗粒介质是简单固体,其中弹性扰动以普通声子的形式传播。然而,声速在粒状骨料不断降低围压的降低,完全消失在堵塞-解除堵塞的过渡。这种反常行为表明,在低压下的能量输运不应该由声子主导。在这项工作中,我们使用模拟和理论来展示如何颗粒系统的响应变得越来越非线性的压力降低。在低压区,弹性能量主要通过非线性波和冲击传递。我们数值表征这些冲击的传播速度,形状和稳定性,并通过一个简单的分析方法模型的压力和冲击强度的冲击速度的依赖性。

英文摘要:

The confining pressure $P$ is perhaps the most important parameter controlling the properties of granular matter. Strongly compressed granular media are, in many respects, simple solids in which elastic perturbations travel as ordinary phonons. However, the speed of sound in granular aggregates continuously decreases as the confining pressure decreases, completely vanishing at the jamming-unjamming transition. This anomalous behavior suggests that the transport of energy at low pressures should not be dominated by phonons. In this work we use simulations and theory to show how the response of granular systems becomes increasingly nonlinear as pressure decreases. In the low pressure regime the elastic energy is found to be mainly transported through nonlinear waves and shocks. We numerically characterize the propagation speed, shape, and stability of these shocks, and model the dependence of the shock speed on pressure and impact intensity by a simple analytical approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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