Compaction Dynamics of Vibrated Granular Materials
Zorica Jakšić Darko Vasiljević Julija Šćepanović Slobodan Vrhovac The vibratory compaction of granular materials has long been of importance in technological applications. A number of diferent approaches have been proposed in order to connect slow compaction with effects of excluded volume and geometrical frustration without reaching a unique conclusion on the temporal behaviour of density change. When analyzing the previous experimental results, we found that the density relaxation of a vibrated granular material follows the Mittag-Leffler law in the whole temporal range. Furthermore, a fractional model of granular compaction that captures this relaxation dynamics is presented. This paper provides some of the relevant background and attempts to identify some of the research needs from an industrial perspective. Key words: granular materials, granular compaction, fraction kinetics, material properties, experimental results, military application. |