抽头颗粒多边形的稳态
Steady state of tapped granular polygons
摘要：
采用离散元法研究了不同颗粒形状的稳态堆积率。颗粒是单一大小的正多边形，从三角形到二十边形。与圆盘填料的比较表明，多边形填料的稳态填充率随敲击强度的变化呈现相同的趋势。然而，如预期的那样，对于可以镶嵌平面的形状（三角形、正方形和六边形），获得了更好的填充分数。此外，我们发现一个尖锐的过渡包装的多边形超过13个顶点的信号在包装分数在一个特定的轻敲强度的不连续性。大多数形状的密度波动是一致的，最近的实验结果在磁盘包装，但是，一个特殊的行为被发现三角形和正方形。
英文摘要：
The steady state packing fraction of a tapped granular bed is studied for different grain shapes via a discrete element method. Grains are monosized regular polygons, from triangles to icosagons. Comparisons with disk packings show that the steady state packing fraction as a function of the tapping intensity presents the same general trends in polygon packings. However, better packing fractions are obtained, as expected, for shapes that can tessellate the plane (triangles, squares and hexagons). In addition, we find a sharp transition for packings of polygons with more than 13 vertices signaled by a discontinuity in the packing fraction at a particular tapping intensity. Density fluctuations for most shapes are consistent with recent experimental findings in disk packing; however, a peculiar behavior is found for triangles and squares.
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