Exact calculation of force networks in granular piles
Exact calculation of force networks in granular piles
复制标题
颗粒桩中力网络的精确计算
DOI：
10.1103/physreve.58.2079
复制
发表时间：
1997
影响因子：
2.4
通讯作者：
Hans J. Herrmann
中科院分区：
文献类型：
--
作者：
G. Oron;Hans J. Herrmann
我们提出了二维静态砂桩模型的力的计算。使用一个符号计算软件，我们得到精确的结果，为几个不同的方向的晶格和不同类型的支撑面。该模型是简单的，假设球形的，相同的，刚性粒子上的一个规则的三角形晶格，没有摩擦和单边弹簧接触。特别注意的是应力张量和桩底压力。我们表明，定向的晶格和支持面的特性有很强的影响桩的物理性质。我们的结果与在类似系统上进行的数值模拟吻合得很好，并且在某些特定情况下，堆顶下方有一个凹陷。我们还估计，我们已经开发的算法可以很容易地适应其他配置和模型的颗粒，并可以用于其他物理情况下，分段线性系统遇到。
We present calculations of forces for two-dimensional static sand pile models. Using a symbolic calculation software we obtain exact results for several different orientations of the lattice and for different types of supporting surfaces. The model is simple, supposing spherical, identical, rigid particles on a regular triangular lattice, without friction and with unilateral springlike contacts. Special attention is given to the stress tensor and pressure on the base of the pile. We show that orientation of the lattice and the characteristics of the supporting surface have a strong influence on the physical properties of the pile. Our results agree well with numerical simulations done on similar systems and show, in some specific cases, a dip, i.e., a depression under the apex of the pile. We also estimate that the algorithm we have developed can be easily adapted to other configurations and models of granulates and can be used in other physical cases where piecewise linear systems are encountered.