Landry James W, Grest Gary S, Silbert Leonardo E, Plimpton Steven J
Sandia National Laboratories, Albuquerque, New Mexico 87185-1415, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Apr;67(4 Pt 1):041303. doi: 10.1103/PhysRevE.67.041303. Epub 2003 Apr 21.
The structure and stresses of static granular packs in cylindrical containers are studied by using large-scale discrete element molecular dynamics simulations in three dimensions. We generate packings by both pouring and sedimentation and examine how the final state depends on the method of construction. The vertical stress becomes depth independent for deep piles and we compare these stress depth profiles to the classical Janssen theory. The majority of the tangential forces for particle-wall contacts are found to be close to the Coulomb failure criterion, in agreement with the theory of Janssen, while particle-particle contacts in the bulk are far from the Coulomb criterion. In addition, we show that a linear hydrostaticlike region at the top of the packings unexplained by the Janssen theory arises because most of the particle-wall tangential forces in this region are far from the Coulomb yield criterion. The distributions of particle-particle and particle-wall contact forces P(f) exhibit exponential-like decay at large forces in agreement with previous studies.
通过大规模三维离散元分子动力学模拟,研究了圆柱形容器中静态颗粒堆积的结构和应力。我们通过倾倒和沉降两种方式生成堆积,并研究最终状态如何依赖于构建方法。对于深桩,垂直应力与深度无关,我们将这些应力深度分布与经典的扬森理论进行了比较。发现颗粒与壁面接触的大多数切向力接近库仑破坏准则,这与扬森理论一致,而堆积体内部颗粒与颗粒之间的接触则远未达到库仑准则。此外,我们表明,扬森理论无法解释的堆积顶部类似线性静水压力的区域的出现,是因为该区域中大多数颗粒与壁面的切向力远未达到库仑屈服准则。颗粒与颗粒以及颗粒与壁面接触力P(f)的分布在大力值时呈现出类似指数的衰减,这与先前的研究一致。