LIU Xiaofei, YOU Shihui, XIE Chunkai1. Study on Instability of Clay Granular Slope Piles Based on Complex Network[J]. Applied Mathematics and Mechanics, 2020, 41(9): 931-942. doi: 10.21656/1000-0887.400225
Citation: LIU Xiaofei, YOU Shihui, XIE Chunkai1. Study on Instability of Clay Granular Slope Piles Based on Complex Network[J]. Applied Mathematics and Mechanics, 2020, 41(9): 931-942. doi: 10.21656/1000-0887.400225

Study on Instability of Clay Granular Slope Piles Based on Complex Network

doi: 10.21656/1000-0887.400225
Funds:  The National Natural Science Foundation of China(51375416)
  • Received Date: 2019-07-20
  • Rev Recd Date: 2020-01-23
  • Publish Date: 2020-09-01
  • The bonded-particle discrete element simulation of the instability and failure process of granular slope piles was conducted under lasting downward loading by metal plates, and the 2D total velocity vectors of soil particles and the slope sliding surface angles during the instability and failure were obtained. Macro-response processes such as the average velocity in the y-direction of the slope pile top were also considered. The normal force chain undirected network model for the granular slope pile under natural accumulation was constructed, and the position of the sliding surface was studied in comparison with experimental results. Finally, the complex network method was used to analyze the topological characteristics of the contact force chain network of the particles on the slope pile top, and the evolutionary rules of the average degree, the clustering coefficient and the average shortest path were obtained during the slope pile instability process, of which the correctness was verified with the strength reduction method. The research results show that, the average shortest path provides a more effective early warning of the instability and failure of slope piles. The complex network theory used to study the relationship between macro responses of the slope pile and its force chain mesoscopic structure, makes a new mathematical method for the study of slope instability.
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  • [1]
    ZHANG T, ZHENG H, SUN C. Global method for stability analysis of anchored slopes[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2019,43(1): 124-137.
    [2]
    ZHENG H, SUN G H, LI C G. Cauchy problem of three-dimensional critical slip surfaces of slopes[J]. International Journal for Numerical & Analytical Methods in Geomechanics,2011,35(4): 519-527.
    [3]
    李明霞, 董联杰. 层状反倾边坡变形特征及影响因素分析[J]. 计算力学学报, 2015,〖STHZ〗 32(6): 831-837.(LI Mingxia, DONG Lianjie. Analysis on influential factors and deformation characteristics of toppling slope[J]. Chinese Journal of Computational Mechanics,2015,32(6): 831-837.(in Chinese))
    [4]
    周健, 王家全, 曾远, 等. 土坡稳定分析的颗粒流模拟[J]. 岩土力学, 2009,30(1): 86-90.(ZHOU Jian, WANG Jiaquan, ZENG Yuan, et al. Simulation of slope stability analysis by particle flow code[J]. Rock and Soil Mechanics,2009,30(1): 86-90.(in Chinese))
    [5]
    FAKHIMI A, CARVALHO F, ISHIDA T, et al. Simulation of failure around a circular opening in rock[J]. International Journal of Rock Mechanics & Mining Sciences,2002,39(4): 507-515.
    [6]
    POTYONDY D O, CUNDALL P A. A bonded-particle model for rock[J]. International Journal of Rock Mechanics & Mining Sciences,2004,41(8): 1329-1364.
    [7]
    BACKSTROM A, ANTIKAINEN J, BACKERS T, et al. Numerical modelling of uniaxial compressive failure of granite with and without saline porewater[J]. International Journal of Rock Mechanics & Mining Sciences,2008,45(7): 1126-1142.
    [8]
    HSIEH Y M, LI H H, HUANG T H, et al. Interpretations on how the macroscopic mechanical behavior of sandstone affected by microscopic properties: revealed by bonded-particle model[J]. Engineering Geology,2008,99(1): 1-10.
    [9]
    杨冰. 边坡动力破坏过程及塌落范围的颗粒力学模拟[D]. 硕士学位论文. 北京: 清华大学, 2011.(YANG Bing. Particle dynamics simulation of slope dynamic failure process and collapse range[D]. Master Thesis. Beijing: Tsinghua University, 2011.(in Chinese))
    [10]
    张小雪. 基于颗粒流模拟的边坡稳定性分析[D]. 硕士学位论文. 哈尔滨: 哈尔滨工程大学, 2015.(ZHANG Xiaoxue. Slope stability analysis based on particle flow simulation[D]. Master Thesis. Harbin: Harbin Engineering University, 2015.(in Chinese))
    [11]
    杨玲. 黄土崩塌的离散元数值模拟[D]. 硕士学位论文. 西安: 西安科技大学, 2015.(YANG Ling. Discrete element numerical simulation of loess collapse[D]. 〖JP〗Master Thesis. Xi’an: Xi’an University of Science and Technology, 2015.(in Chinese))
    [12]
    冯春, 李世海, 孙厚广, 等. 颗粒接触无网格法及其在边坡成灾范围模拟中的应用[J]. 岩土力学, 2016,37(12): 3608-3617.(FENG Chun, LI Shihai, SUN Houguang, et al. Particle contact-based meshfree method and its application to slope disaster range simulation[J]. Rock and Soil Mechanics,2016,37(12): 3608-3617.(in Chinese))
    [13]
    邹育. 边坡稳定性的多尺度分析[D]. 硕士学位论文. 广州: 华南理工大学, 2017.(ZOU Yu. Multi-scale analysis of slope stability[D]. Master Thesis. Guangzhou: South China University of Technology, 2017.(in Chinese))
    [14]
    WALKER D M, TORDESILLAS A, SMALL M, et al. A complex systems analysis of stick-slip dynamics of a laboratory fault[J]. Chaos: an Interdisciplinary Journal of Nonlinear Science,2014,24(1): 013132.
    [15]
    TORDESILLAS A, PUCILOWSKI S, WALKER D M, et al. A complex network analysis of granular fabric evolution in three-dimensions[J]. Dynamics of Continuous, Discrete and Impulsive Systems(Series B): Applications and Algorithms,2012,19(4/5): 471-495.
    [16]
    宜晨虹, 苗天德, 慕青松. 颗粒介质力链的复杂网络法研究[C]//2014颗粒材料计算力学会议. 兰州, 2014.(YI Chenhong, MIAO Tiande, MU Qingsong. Research on complex network method of particle media force chain[C]// Conference of Computational Mechanics of Granular Materials(CMGM 2014) . Lanzhou, 2014.(in Chinese))
    [17]
    QUIST J, EVERTSSON C M. Cone crusher modelling and simulation using DEM[J]. Minerals Engineering,2015,85: 92-105.
    [18]
    汪儒鸿, 周海清, 彭国园. 堆积体边坡突变失稳特性的离散元模拟分析[J]. 兵器装备工程学报, 2018,39(6): 192-196.(WANG Ruhong, ZHOU Haiqing, PENG Guoyuan. Dispersion element simulation analysis of mutant instability of piles slope[J]. Journal of Ordnance Equipment Engineering,2018,39(6): 192-196.(in Chinese))
    [19]
    KATZ O, MORGAN J K, AHARONOV E, et al. Controls on the size and geometry of landslides: insights from discrete element numerical simulations[J]. Geomorphology,2014,220: 104-113.
    [20]
    廖静薇. 基于颗粒流强度折减法的粉质粘土边坡稳定性分析[D]. 硕士学位论文. 重庆: 重庆大学, 2014.(LIAO Jingwei. Slope stability analysis of silty clay particle flow based on strength reduction method[D]. Master Thesis. Chongqing: Chongqing University, 2014.(in Chinese))
    [21]
    宋占璞, 施斌, 汪义龙, 等. 削坡作用土质边坡变形分布式光纤监测试验研究[J]. 工程地质学报, 2016,24(6): 1110-1117.(SONG Zhanpu, SHI Bin, WANG Yilong, et al. Analysis on the strain-field of soil cut slope based on DFOS technology monitoring[J]. Journal of Engineering Geology,2016,24(6): 1110-1117.(in Chinese))
    [22]
    史卜涛, 张云, 张巍. 边坡稳定性分析的物质点强度折减法[J]. 岩土工程学报, 2016,38(9): 1678-1684.(SHI Butao, ZHANG Yun, ZHANG Wei. Strength reduction material point method for slope stability[J]. Journal of Geotechnical Engineering,2016,38(9): 1678-1684.(in Chinese))
    [23]
    陈永明, 滕光亮, 石玉成, 等. 地震作用下宝成铁路109隧道边坡失稳机理的离散元模拟[J]. 岩土工程学报, 2013,35(S1): 23-32.(CHEN Yongming, TENG Guangliang, SHI Yucheng, et al. Dispersion element simulation of the instability mechanism of the 109 tunnel slope of Baocheng Railway under the influence of earthquake[J]. Chinese Journal of Geotechnical Engineering,2013,35(S1): 23-32.(in Chinese))
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