Sexton M G, Socolar J E, Schaeffer D G
Department of Physics, Duke University, Durham, North Carolina 27708, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Aug;60(2 Pt B):1999-2008. doi: 10.1103/physreve.60.1999.
We study a scalar lattice model for intergrain forces in static, noncohesive, granular materials, obtaining two primary results: (i) The applied stress as a function of overall strain shows a power law dependence with a nontrivial exponent, which moreover varies with system geometry; and (ii) probability distributions for forces on individual grains appear Gaussian at all stages of compression, showing no evidence of exponential tails. With regard to both results, we identify correlations responsible for deviations from previously suggested theories.
我们研究了一种用于静态、无粘性颗粒材料中颗粒间力的标量晶格模型，得到了两个主要结果：（i）作为整体应变函数的外加应力呈现出幂律依赖关系，其指数非平凡，而且随系统几何形状而变化；（ii）在压缩的所有阶段，单个颗粒上力的概率分布都呈现高斯分布，没有指数尾部的迹象。关于这两个结果，我们确定了导致偏离先前提出理论的相关性。
