Critical scaling for yield is independent of distance to isostaticity
Critical scaling for yield is independent of distance to isostaticity
复制标题
产量的临界缩放与均衡距离无关
作者：
Jacob D. Thompson;A. Clark
使用离散元模拟，我们证明了软盘和球体填料屈服的关键行为与大范围无量纲压力下的等静压距离无关。通过固定压力下的准静态剪切探索卡住状态，这些状态的无量纲剪切应力 $mu$ 的统计数据服从具有发散长度尺度 $xi propto |mu-mu_c|^{- 的缩放描述
u}$。尽管研究的压力范围很大，但临界标度函数和标度指数值几乎与等静压距离无关。我们的结果表明，堵塞系统的屈服代表了与先前研究已证明的均衡临界转变不同的明显非平衡临界转变。我们的结果也可用于导出颗粒材料、泡沫、乳液和其他软颗粒材料的非局部流变描述。
Using discrete element simulations, we demonstrate that critical behavior for yielding in soft disk and sphere packings is independent of distance to isostaticity over a wide range of dimensionless pressures. Jammed states are explored via quasistatic shear at fixed pressure, and the statistics of the dimensionless shear stress $mu$ of these states obey a scaling description with diverging length scale $xi propto |mu-mu_c|^{-
u}$. The critical scaling functions and values of the scaling exponents are nearly independent of distance to isostaticity despite the large range of pressures studied. Our results demonstrate that yielding of jammed systems represents a distinct nonequilibrium critical transition from the isostatic critical transition which has been demonstrated by previous studies. Our results may also be useful in deriving nonlocal rheological descriptions of granular materials, foams, emulsions, and other soft particulate materials.
DOI：
10.1103/physreve.97.012909
发表时间：
2018-01
期刊：
Physical review. E
影响因子：
--
作者：
VanderWerf K;Jin W;Shattuck MD;O'Hern CS
通讯作者：
O'Hern CS