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首页> 外文期刊>Journal of aerospace engineering >Continuum Modeling and Discrete Element Simulations of Elastic-Quasi-Static Granular Flow in a Compressing Slot
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Continuum Modeling and Discrete Element Simulations of Elastic-Quasi-Static Granular Flow in a Compressing Slot

机译：压缩槽内弹性准静态颗粒流的连续模型与离散元模拟

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摘要

The stress generated by the horizontal compression of a vertical column of granular material is investigated. The column is open at the top so that the material is free to flow upward in the slot as it is compressed. This simple geometry has interesting mechanics because both elastic and frictional regimes coexist, and it is also relevant to problems involving the insulating material in cryogenic storage tanks. Two methods are used to investigate this problem: traditional continuum modeling and discrete element simulation. The continuum model assumes that the column consists of a frictional region near the top of the column and a linearly elastic region near the bottom. Analytic solutions are obtained for each region and predictions for the location of the transition are made based on intersections of the two solutions. A discrete element simulation of the same geometry is performed to compare with the results from the continuum model. Various conditions of wall friction and particle stiffness are simulated. Based on the outcome of this comparison, we verify that in a compressing slot there are essentially two distinct regions: a frictional flow region near the top of the column that results in an exponential increase in stress with depth. This eventually saturates leading to a linear-elastic plane strain region. The location of the transition between these two regions depends on the material properties and the state of the compression.
机译：研究了颗粒材料的垂直柱的水平压缩所产生的应力。色谱柱的顶部是敞开的，因此物料在被压缩时可以在槽中自由向上流动。这种简单的几何形状具有令人感兴趣的力学原理，因为弹性和摩擦两种状态共存，并且还与低温储罐中涉及绝缘材料的问题有关。有两种方法可用来研究此问题：传统的连续体建模和离散元素模拟。连续模型假设圆柱由靠近圆柱顶部的摩擦区域和靠近圆柱底部的线性弹性区域组成。获得每个区域的解析解，并基于两个解的交点做出过渡位置的预测。执行相同几何形状的离散元素模拟，以与连续模型的结果进行比较。模拟了壁摩擦和颗粒刚度的各种条件。根据此比较的结果，我们验证了在压缩槽中本质上有两个不同的区域：靠近柱顶部的摩擦流动区域，导致应力随深度呈指数增加。最终饱和，导致线性弹性平面应变区域。这两个区域之间的过渡位置取决于材料属性和压缩状态。

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