Azéma E, Radjaï F, Peyroux R, Richefeu V, Saussine G
Université Montpellier II, Place Eugène Bataillon, Montpellier cedex 05, France.
Eur Phys J E Soft Matter. 2008 Jul;26(3):327-35. doi: 10.1140/epje/i2007-10331-0. Epub 2008 Jun 6.
We analyze the dynamics of a 3D granular packing composed of particles of irregular polyhedral shape confined inside a rectangular box with a retaining wall subjected to horizontal harmonic forcing. The simulations are performed by means of the contact dynamics method for a broad set of loading parameters. We explore the vibrational dynamics of the packing, the evolution of solid fraction and the scaling of dynamics with the loading parameters. We show that the motion of the retaining wall is strongly anharmonic as a result of jamming and grain rearrangements. It is found that the mean particle displacement scales with inverse square of frequency, the inverse of the force amplitude and the square of gravity. The short-time compaction rate grows in proportion to frequency up to a characteristic frequency, corresponding to collective particle rearrangements between equilibrium states, and then it declines in inverse proportion to frequency.
我们分析了一个三维颗粒填料的动力学，该填料由不规则多面体形状的颗粒组成，被限制在一个带有挡土墙的矩形盒子内，挡土墙受到水平谐波力的作用。通过接触动力学方法对一系列广泛的加载参数进行了模拟。我们研究了填料的振动动力学、固体分数的演变以及动力学与加载参数的标度关系。我们表明，由于堵塞和颗粒重排，挡土墙的运动具有强烈的非谐性。研究发现，平均颗粒位移与频率的平方反比、力幅的反比以及重力的平方成正比。短时压实率与频率成正比增长，直至达到一个特征频率，该频率对应于平衡态之间的集体颗粒重排，然后与频率成反比下降。
