论文标题

无摩擦颗粒材料中的声音阻尼:配置障碍与非弹性之间的相互作用

Sound damping in frictionless granular materials: The interplay between configurational disorder and inelasticity

论文作者

Saitoh, Kuniyasu, Mizuno, Hideyuki

论文摘要

我们在二维的颗粒材料模型中数值研究声音阻尼。我们模拟无效无摩擦磁盘中的站立波的演变,并通过速度自相关功能和功率谱分析其阻尼的振荡。我们控制接触中磁盘之间非弹性相互作用的强度,以检查能量耗散对无序系统声音特征的影响。提高了非弹性相互作用的强度,我们发现(i)(i)声音变软的消失和(ii)由于构型障碍而引起的声音衰减,即低频的瑞利散射以及在高频下以障碍诱导的拓宽,被能量耗散完全控制了。我们的发现表明,颗粒介质中的声音阻尼取决于弹性异质性和非弹性相互作用之间的相互作用。

We numerically investigate sound damping in a model of granular materials in two dimensions. We simulate evolution of standing waves in disordered frictionless disks and analyze their damped oscillations by velocity autocorrelation functions and power spectra. We control the strength of inelastic interactions between the disks in contact to examine the effect of energy dissipation on sound characteristics of disordered systems. Increasing the strength of inelastic interactions, we find that (i) sound softening vanishes and (ii) sound attenuation due to configurational disorder, i.e. the Rayleigh scattering at low frequencies and disorder-induced broadening at high frequencies, is completely dominated by the energy dissipation. Our findings suggest that sound damping in granular media is determined by the interplay between elastic heterogeneities and inelastic interactions.

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