不同相对密度的粒状材料中土壤拱起发展和退化机理的多尺度研究

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractal and Fractional Pub Date : 2024-04-24 DOI:10.3390/fractalfract8050247
Luju Liang, Yi Pik Cheng, Xiaozhen Fan, Zhi Ding, Changjie Xu
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引用次数: 0

摘要

土壤起拱受相对密度的影响很大,但对其机理的分析却很少。为了研究不同相对密度的粒状材料拱起发展和退化的多尺度机理,我们对经典的活门试验进行了一系列 DEM 数值模拟。结果表明,在最大起拱状态(对应于最小起拱比)之前,特定区域内(颗粒垂直位移大于 0.1δ但小于 0.9δ)颗粒间的接触力迅速增加,并产生具有较大颗粒接触力的强拱形力链。随着样品孔隙率的降低,接触力和力链的变化会变得更加明显。因此,在密度较大的颗粒集合体中产生的土壤拱起更强,拱起比的最小值随样品孔隙率的增加而增大。在最大拱起状态之后,该区域的力链逐渐退化,导致微观尺度上的颗粒接触力减小,宏观尺度上的拱起比增大。在相对密度较大的模拟中,由于接触力链的退化在密度较大的样品中更为明显,因此拱起比在达到最小值后的恢复也更为显著。这些结果表明,在工程实践中,特定区域的接触力链稳定性对改善土壤起拱非常重要。
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Multi-Scale Research on the Mechanisms of Soil Arching Development and Degradation in Granular Materials with Different Relative Density
Soil arching is significantly influenced by relative density, while its mechanisms have barely been analyzed. A series of DEM numerical simulations of the classical trapdoor test were carried out to investigate the multi-scale mechanisms of arching development and degradation in granular materials with different relative density. For analysis, the granular assembly was divided into three zones according to the particle vertical displacement normalized by the trapdoor displacement δ. The results show that before the maximum arching state (corresponding to the minimum arching ratio), contact forces between particles in a specific zone (where the vertical displacement of particles is larger than 0.1δ but less than 0.9δ) increase rapidly and robust arched force chains with large particle contact forces are generated. The variation in contact forces and force chains becomes more obvious as the sample porosity decreases. As a result, soil arching generated in a denser particle assembly is stronger, and the minimum value of the arching ratio is increased with the sample porosity. After the maximum arching state, the force chains in this zone are degenerated gradually, leading to a decrease in particle contact forces in microscale and an increase in the arching ratio in macroscale. The recovery of the arching ratio after the minimum value is also more significant in simulations with a larger relative density, as the degeneration of contact force chains is more obvious in denser samples. These results indicate the importance of contact force chain stabilities in specific zones for improving soil arching in engineering practice.
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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