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arXiv 2008.09979cond-mat.soft
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高度非凸颗粒堆积形态与接触力和应力分布的关系

The Link Between Packing Morphology and the Distribution of Contact Forces and Stresses in Packings of Highly Non-Convex Particles

Nicholas A. Conzelmann, Alexander Penn, Manfred N. Partl, Frank J. Clemens, Lily D. Poulikakos, Christoph R. Müller

摘要:

颗粒填料上的外部载荷通过颗粒接触的异质网络在内部分布。这种接触力分布决定了颗粒堆积和所得结构的稳定性。在这里,我们调查的高度非凸颗粒在二维(2D)和三维(3D)包装的包装中的接触力分布的均匀性。一种新发展的离散元方法被用来模拟非凸的不同球形颗粒的包装。我们的研究结果表明,在3D包装的正常方向上的接触力的分布变得越来越不均匀,减少颗粒球形。然而,在2D填料的接触力分布是独立的颗粒球形度,表明在2D填料中获得的结果不能很容易地外推到3D填料。径向分布函数(RDFs)表明,在3D包装的结晶度随颗粒球形度降低。我们链接的接触力分布的均匀性下降的结晶度下降的3D填料。这些研究结果是补充之前观察到的接触力分布的不均匀性和由于球形颗粒的多分散性增加而导致的堆积结晶度降低之间的联系。

英文摘要:

An external load on a particle packing is distributed internally through a heterogeneous network of particle contacts. This contact force distribution determines the stability of the particle packing and the resulting structure. Here, we investigate the homogeneity of the contact force distribution in packings of highly non-convex particles both in two-dimensional (2D) and three-dimensional (3D) packings. A newly developed discrete element method is used to model packings of non-convex particles of varying sphericity. Our results establish that in 3D packings the distribution of the contact forces in the normal direction becomes increasingly heterogeneous with decreasing particle sphericity. However, in 2D packings the contact force distribution is independent of particle sphericity, indicating that results obtained in 2D packings cannot be extrapolated readily to 3D packings. Radial distribution functions (RDFs) show that the crystallinity in 3D packings decreases with decreasing particle sphericity. We link the decreasing homogeneity of the contact force distributions to the decreasing crystallinity of 3D packings. These findings are complementary to the previously observed link between the heterogeneity of the contact force distribution and a decreasing packing crystallinity due to an increasing polydispersity of spherical particles.

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