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用于铁路道砟离散单元法模拟的简单颗粒形状:形状描述符对堆积行为的影响。

Simple particle shapes for DEM simulations of railway ballast: influence of shape descriptors on packing behaviour.

作者信息

Suhr Bettina, Six Klaus

机构信息

Virtual Vehicle Research GmbH, Inffeldgasse 21/A, Graz, 8010 Austria.

出版信息

Granul Matter. 2020;22(2):43. doi: 10.1007/s10035-020-1009-0. Epub 2020 Mar 23.

DOI:10.1007/s10035-020-1009-0
PMID:32226281
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7093080/
Abstract

ABSTRACT

In any DEM simulation, the chosen particle shape will greatly influence the simulated material behaviour. For a specific material, e.g. railway ballast, it remains an open question how to model the particle shape, such that DEM simulations are computationally efficient and simulation results are in good accordance with measurements. While DEM shape modelling for railway ballast is well addressed in the literature, approaches mainly aim at approximating the stones' actual shape, resulting in rather complex and thus inefficient particle shapes. In contrast, very simple DEM shapes will be constructed, clumps of three spheres, which aim to approximate shape descriptors of the considered ballast material. In DEM simulations of the packing behaviour, a set of clump shapes is identified, which can pack at porosities observed at track sites, as well as in lab tests. The relation between particle shape (descriptors) and obtained packing (characteristic) is investigated in a correlation analysis. The simulated packing's porosity is strongly correlated to four shape descriptors, which are also strongly correlated among each other. Thus, to derive simple shape models of a given particle shape, matching one of these shape descriptors, might be a good first step to bring simulated porosities closer to measured ones. The conducted correlation analysis also shows that packing's coordination number and isotropic fabric are correlated to more shape descriptors, making it more difficult to estimate the effect of particle shape on these quantities.

摘要

摘要

在任何离散单元法(DEM)模拟中,所选择的颗粒形状将极大地影响模拟的材料行为。对于特定材料,例如铁路道砟,如何对颗粒形状进行建模,以使离散单元法模拟在计算上高效且模拟结果与测量结果高度吻合,仍是一个悬而未决的问题。虽然文献中对铁路道砟的离散单元法形状建模已有充分探讨,但方法主要旨在逼近石块的实际形状,导致颗粒形状相当复杂,从而效率低下。相比之下,将构建非常简单的离散单元法形状,即三个球体的团块,其目的是逼近所考虑的道砟材料的形状描述符。在堆积行为的离散单元法模拟中,识别出一组团块形状,它们能够以在轨道现场以及实验室测试中观察到的孔隙率进行堆积。在相关性分析中研究颗粒形状(描述符)与所得堆积(特征)之间的关系。模拟堆积的孔隙率与四个形状描述符密切相关,这四个形状描述符彼此之间也高度相关。因此,为了推导给定颗粒形状的简单形状模型,匹配这些形状描述符之一,可能是使模拟孔隙率更接近测量孔隙率的良好第一步。所进行的相关性分析还表明,堆积的配位数和各向同性结构与更多的形状描述符相关,使得估计颗粒形状对这些量的影响更加困难。

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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/f2996e508036/10035_2020_1009_Fig7_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/e3efa634f214/10035_2020_1009_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/fce9da3a90b6/10035_2020_1009_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/9bf5cc52654f/10035_2020_1009_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/c2ca16f4542c/10035_2020_1009_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/84dec0a68375/10035_2020_1009_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/df745fc74464/10035_2020_1009_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/a3da5c134860/10035_2020_1009_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/9beee4773fba/10035_2020_1009_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/f2996e508036/10035_2020_1009_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/17d7ab4b4a48/10035_2020_1009_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/e3efa634f214/10035_2020_1009_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/583d/7093080/fce9da3a90b6/10035_2020_1009_Fig10_HTML.jpg

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本文引用的文献

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2
Comparison of two different types of railway ballast in compression and direct shear tests: experimental results and DEM model validation.两种不同类型铁路道砟在压缩试验和直剪试验中的比较:试验结果与离散元模型验证
Granul Matter. 2018;20(4):70. doi: 10.1007/s10035-018-0843-9. Epub 2018 Sep 29.
3
Parametrisation of a DEM model for railway ballast under different load cases.
Sci Rep. 2022 Feb 7;12(1):2036. doi: 10.1038/s41598-022-05891-8.
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DEM modelling of railway ballast using the Conical Damage Model: a comprehensive parametrisation strategy.使用锥形损伤模型对铁路道砟进行离散元建模:一种全面的参数化策略。
Granul Matter. 2022;24(1):40. doi: 10.1007/s10035-021-01198-z. Epub 2022 Jan 24.
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Shape analysis of railway ballast stones: curvature-based calculation of particle angularity.基于曲率的道床碎石棱角形状分析
Sci Rep. 2020 Apr 8;10(1):6045. doi: 10.1038/s41598-020-62827-w.
不同荷载工况下铁路道砟离散单元法(DEM)模型的参数化
Granul Matter. 2017;19(4):64. doi: 10.1007/s10035-017-0740-7. Epub 2017 Aug 2.
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Optimizing packing fraction in granular media composed of overlapping spheres.优化由重叠球体组成的颗粒介质中的填充率。
Soft Matter. 2016 Jan 28;12(4):1107-15. doi: 10.1039/c5sm02335a.
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Static friction phenomena in granular materials: Coulomb law versus particle geometry.颗粒材料中的静摩擦现象:库仑定律与颗粒几何形状
Phys Rev Lett. 1993 Dec 13;71(24):3963-3966. doi: 10.1103/PhysRevLett.71.3963.