基于复杂网络的黏性土颗粒边坡堆积体失稳研究

刘小飞; 游世辉; 谢纯凯

doi:10.21656/1000-0887.400225

基于复杂网络的黏性土颗粒边坡堆积体失稳研究

doi: 10.21656/1000-0887.400225

¹湘潭大学土木工程与力学学院, 湖南湘潭 411105;²枣庄学院机电工程学院, 山东枣庄 277160

基金项目: 国家自然科学基金（51375416）

详细信息

作者简介:
刘小飞（1994—），男，硕士生（E-mai: 773078501@qq.com）;游世辉（1962—），男，教授，博士生导师（通讯作者. E-mail: shihuiyou@hotmail.com）.

中图分类号: TU432
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- 被引次数: 0
出版历程
- 收稿日期: 2019-07-20
- 修回日期: 2020-01-23
- 刊出日期: 2020-09-01

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

¹College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan, Hunan 411105, P.R.China;²School of Mechanical and Electrical Engineering, Zaozhuang University, Zaozhuang, Shandong 277160, P.R.China

Funds: The National Natural Science Foundation of China（51375416）

摘要

摘要: 对颗粒边坡堆积体模型在金属板向下持续作用时的失稳破坏过程进行了颗粒离散元模拟，得出了二维边坡堆积体土颗粒速度总矢量、边坡堆积体失稳破坏时滑移开裂面的角度以及边坡堆积体坡顶y方向的平均速度等宏观响应过程.构建了自然堆积下边坡堆积体颗粒的法向力链无向网络模型，研究其滑移面出现的位置，并与实验结果做对比.最后，用复杂网络方法对边坡堆积体坡顶颗粒接触力链网络的拓扑特征进行了分析，得到平均度、簇聚系数和平均最短路径在边坡堆积体失稳过程中的演化规律，并结合强度折减法验证其准确性.研究结果表明，平均最短路径可以对边坡堆积体失稳破坏进行较为有效的预警.采用复杂网络理论研究边坡堆积体宏观响应与其力链网络介观结构之间的相互关系，为边坡失稳研究提供了一种全新的数学分析方法.
- 边坡 /
- 失稳破坏 /
- 力链 /
- 离散元法 /
- 复杂网络
Abstract: 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.
- slope /
- instability failure /
- force chain /
- discrete element /
- complex network

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