论文标题
倾斜的颗粒单层的稳定性：倒塌之前我们可以选择多少个球？
Stability of a tilted granular monolayer: How many spheres can we pick before the collapse?
论文作者
论文摘要
使用离散元件模拟研究了球体的随机提取过程，研究了雪崩的触发。由六角形配置中相同球体形成的单层，放置在一个倾斜的飞机上，该平面被一个小的围栏包围，该围栏维持球体，模仿了市场上的水果。然后，施加了球体的随机连续提取过程，直到崩溃为止。对于这个简单的数值实验，获得了一个相图，以可视化空缺触发的雪崩的发生，这是倾斜角，系统大小和摩擦系数的函数。更重要的是，发现了一个子区域，我们可以预测提取的关键数量，直到发生雪崩为止。该预测是根据基于统计考虑的平均协调数的进化模型进行的。理论预测还给出了恒定的临界空隙部分球体，这意味着系统在关键的堆积部分崩溃。
The triggering of avalanches is investigated using discrete element simulations for a process of random extraction of spheres. A monolayer, formed by identical spheres in a hexagonal configuration, is placed on a tilted plane surrounded by a small fence that sustains the spheres, mimicking the disposal of fruits in the market. Then, a random continuous extraction process of spheres is imposed until the collapse. For this simple numerical experiment, a phase diagram was obtained to visualize the occurrence of avalanches triggered by vacancies as a function of the tilting angle, system size, and friction coefficient. More importantly, a sub-zone was found where we can predict the critical number of extractions until the avalanche takes place. The prediction is made from an evolution model of the average coordination number based on statistical considerations. The theoretical prediction also gives a constant critical void fraction of spheres, which implies the system collapses at a critical packing fraction.
