岩土力学 ›› 2026, Vol. 47 ›› Issue (9): 3225-3236.doi: 10.16285/j.rsm.2025.0947CSTR: 32223.14.j.rsm.2025.0947

• 数值分析 • 上一篇    下一篇

基于黏性颗粒流变准则的塌落柱物质点法模拟

费建波1, 2, 3,刘志昊1, 2, 3,彭冬林1, 2, 3,介玉新4, 5,陈湘生1, 2, 3   

  1. 1. 深圳大学 极端环境岩土和隧道工程智能建养全国重点实验室,广东 深圳 518060; 2. 深圳大学 自然资源部超大城市国土空间地质安全风险防控重点实验室,广东 深圳 518060; 3. 深圳大学 土木与交通工程学院,广东 深圳 518060;4. 清华大学 水圈科学与水利工程全国重点实验室,北京 100084; 5. 清华大学 水利部水圈科学重点实验室,北京 100084
  • 收稿日期:2025-09-03 接受日期:2026-01-06 出版日期:2026-09-11 发布日期:2026-09-01
  • 作者简介:费建波,男,1988年生,博士,教授,主要从颗粒岩土工程的研究工作。E-mail: feijianbo@szu.edu.cn
  • 基金资助:
    国家自然科学基金(No.52422807)。

Material point method simulation for granular column collapse based on cohesive granular rheology

FEI Jian-bo1, 2, 3, LIU Zhi-hao1, 2, 3, PENG Dong-lin1, 2, 3, JIE Yu-xin4, 5, CHEN Xiang-sheng1, 2, 3   

  1. 1. State Key Laboratory of Intelligent Geotechnics and Tunnelling, Shenzhen University, Shenzhen, Guangdong 518060, China; 2. Key Laboratory of Geological Risk Prevention and Safety Control for Megacities, Ministry of Natural Resources, Shenzhen University, Shenzhen, Guangdong 518060, China; 3. College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, Guangdong 518060, China; 4. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China; 5. Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, Tsinghua University, Beijing 100084, China
  • Received:2025-09-03 Accepted:2026-01-06 Online:2026-09-11 Published:2026-09-01
  • Supported by:
    This work was supported by. National Natural Science Foundation of China (52422807).

摘要:

传统土力学中对黏性土黏聚力的解释多依赖于摩尔−库仑破坏准则框架下的宏观参数黏聚力c,本研究采用聚硼硅氧烷涂层玻璃颗粒制备黏聚力可控颗粒材料(cohesive granular materials,简称CCGM),实现颗粒间微观黏聚力(即聚合物桥黏结)定量可控,将黏性颗粒的黏聚力与颗粒间的微观黏结作用力进行联系,使颗粒黏性从宏观性描述转变为可量化的颗粒物理刻画。为揭示黏性颗粒从准静态到流动状态的跨流态演化机制,本研究引入颗粒的动态黏聚力物理表达发展了黏性颗粒摩擦系数−惯性数I流变准则,基于发展的准则和物质点法(material point method,简称MPM)计算框架建立了连续介质动力学模型,能描述黏性颗粒从静止到流动的全过程。建立的连续介质模型能有效重现颗粒柱坍塌试验的时序演化过程,还能捕捉试验中发现的黏聚力增大会导致坍塌启动延迟、滑距减少、堆积角增加等现象。试验和模拟还表明,当黏聚数Co≥8.1或高径比a≥2.0时,颗粒流因非均匀能量耗散会形成径向裂纹网络。研究成果为滑坡碎屑流运动预测提供了理论工具。

关键词: 颗粒, 黏性, 颗粒柱坍塌, 物质点法(MPM), 流变行为

Abstract:

 In traditional soil mechanics, the cohesion of clayey soils is often described using the macroscopic cohesion parameter c within the Mohr-Coulomb failure criterion. In this study, siloxane-coated glass particles were used to prepare controllable cohesive granular materials (CCGM), enabling quantitative control of the microscopic cohesive forces between particles, that is, polymer-bridge bonding. This approach links particle cohesion to microscopic interparticle bonding forces and shifts the description of particle behavior from a macroscopic framework to a quantifiable physical characterization. To reveal the cross-phase evolution mechanism by which cohesive particles evolve from a quasi-static state to a flowing state, this study introduces a dynamic cohesive-force expression and develops a  rheological model for cohesive particles that relates the frictional coefficientto the inertial number I. Based on the proposed model and the material point method (MPM) framework, a continuum-mechanics model was established to describe the full transition of cohesive particles from rest to flow. The continuum model effectively reproduces the temporal evolution process of particle column collapse and captures experimentally observed phenomena, including delayed collapse initiation, reduced runout distance, and an increased angle of repose with increasing cohesion. Experiments and simulations also show that when the cohesive number Co≥8.1 or the aspect ratio a≥2.0, the granular flow forms a radial crack network due to non-uniform energy dissipation. The research provides a theoretical framework for predicting landslide and debris-flow motion.

Key words: granule, cohesion, granular column collapse, material point method (MPM), rheological behavior

中图分类号: TU432
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