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物质点法在地质灾害动态模拟中的应用与发展研究动态

王梦晨, 李滨, 万佳威, 高杨, 王文沛. 物质点法在地质灾害动态模拟中的应用与发展研究动态[J]. 中国地质灾害与防治学报, 2025, 36(4): 37-47. doi: 10.16031/j.cnki.issn.1003-8035.202405006
引用本文: 王梦晨, 李滨, 万佳威, 高杨, 王文沛. 物质点法在地质灾害动态模拟中的应用与发展研究动态[J]. 中国地质灾害与防治学报, 2025, 36(4): 37-47. doi: 10.16031/j.cnki.issn.1003-8035.202405006
WANG Mengchen, LI Bin, WAN Jiawei, GAO Yang, WANG Wenpei. Research progress on the application and development of the material point method in dynamic simulation of geological hazards[J]. The Chinese Journal of Geological Hazard and Control, 2025, 36(4): 37-47. doi: 10.16031/j.cnki.issn.1003-8035.202405006
Citation: WANG Mengchen, LI Bin, WAN Jiawei, GAO Yang, WANG Wenpei. Research progress on the application and development of the material point method in dynamic simulation of geological hazards[J]. The Chinese Journal of Geological Hazard and Control, 2025, 36(4): 37-47. doi: 10.16031/j.cnki.issn.1003-8035.202405006

物质点法在地质灾害动态模拟中的应用与发展研究动态

  • 基金项目: 国家自然科学基金项目(U2244226;42407280);中国地质调查局地质调查项目(DD20230538);中国电建集团项目(CD2C20230228;CD2C20231102)
详细信息
    作者简介: 王梦晨(1998—),男,陕西咸阳人,博士研究生,主要从事地质灾害防灾减灾及地震工程方面的研究。E-mail:2020226082@chd.edu.cn
    通讯作者: 李 滨(1980—),男,博士,研究员,主要从事工程地质与地质灾害研究工作。E-mail:libin1102@163.com
  • 中图分类号: P694

Research progress on the application and development of the material point method in dynamic simulation of geological hazards

More Information
  • 在解决崩塌、滑坡、泥石流等大变形地质灾害问题时,常采用数值模拟的方法。如何准确高效地模拟这类问题一直以来都是个难题。物质点法(material point method,MPM)作为一种新兴的数值方法,克服了传统有限元和有限差分等数值方法在模拟大变形时产生的网格畸变问题,并已成功应用于地质灾害中的大变形分析。为了解物质点法在地质灾害大变形模拟中的应用情况,文章在现有研究的基础上简要介绍了物质点法的基本原理,主要总结了物质点法在模拟滑坡、泥石流、地裂缝等地质灾害大变形问题中的应用以及最新的研究进展。同时,指出了物质点法在现有研究中存在的精度、计算效率、多物理场耦合等问题,并展望了物质点法在工程地质中进一步发展的趋势。

  • 加载中
  • 图 1  物质点离散示意图

    Figure 1. 

    图 2  物质点法求解示意图

    Figure 2. 

    图 3  固结程度和时间因子关系图(修改自文献[33])

    Figure 3. 

    图 4  不同摩擦系数下钢球质点位置随时间变化(修改自文献[6566])

    Figure 4. 

    表 1  模拟滑面与实际滑面对比信息表[40]

    Table 1.  Comparison table of simulated slip surface and observed slip surface[40]

    滑面对比 剪出口水平距
    (后缘)/m
    剪出口高差
    (后缘)/m
    滑面最大
    深度/m
    滑带角度
    /(°)
    模拟滑面 544.5 111.9 53.9 5.3
    实际滑面 457.0 92.1 49.7 2.2
    下载: 导出CSV
  • [1]

    陈建平,辛亚波,王泽鹏,等. 样本选取对地质灾害易发性评价的影响——以山西柳林县为例[J]. 中国地质灾害与防治学报,2024,35(3):152 − 162. [CHEN Jianping,XIN Yabo,WANG Zepeng,et al. Effect of sample selection on the susceptibility assessment of geological hazards:A case study in Liulin County,Shanxi Province[J]. The Chinese Journal of Geological Hazard and Control,2024,35(3):152 − 162. (in Chinese with English abstract)]

    CHEN Jianping, XIN Yabo, WANG Zepeng, et al. Effect of sample selection on the susceptibility assessment of geological hazards: A case study in Liulin County, Shanxi Province[J]. The Chinese Journal of Geological Hazard and Control, 2024, 35(3): 152 − 162. (in Chinese with English abstract)

    [2]

    孙玉进. 岩土大变形问题的物质点法研究[D]. 北京:清华大学,2017. [SUN Yujin. Study on large deformation of rock and soil by material point method[D]. Beijing:Tsinghua University,2017. (in Chinese with English abstract)]

    SUN Yujin. Study on large deformation of rock and soil by material point method[D]. Beijing: Tsinghua University, 2017. (in Chinese with English abstract)

    [3]

    张雄,廉艳平,刘岩,等. 物质点法[M]. 北京:清华大学出版社,2013. [ZHANG Xiong,LIAN Yanping,LIU Yan,et al. Material point method[M]. Beijing:Tsinghua University Press,2013. (in Chinese)]

    ZHANG Xiong, LIAN Yanping, LIU Yan, et al. Material point method[M]. Beijing: Tsinghua University Press, 2013. (in Chinese)

    [4]

    廉艳平,张帆,刘岩,等. 物质点法的理论和应用[J]. 力学进展,2013,43(2):237 − 264. [LIAN Yanping,ZHANG Fan,LIU Yan,et al. Material point method and its applications[J]. Advances in Mechanics,2013,43(2):237 − 264. (in Chinese with English abstract)]

    LIAN Yanping, ZHANG Fan, LIU Yan, et al. Material point method and its applications[J]. Advances in Mechanics, 2013, 43(2): 237 − 264. (in Chinese with English abstract)

    [5]

    YERRO C A,ALONSO P A E,PINYOL P N M. The material point method:A promising computational tool in geotechnics[C]//Challenges and Innovations in Geotechnics. 2013:853 − 856.

    [6]

    SULSKY D,ZHOU S J,SCHREYER H L. Application of a particle-in-cell method to solid mechanics[J]. Computer Physics Communications,1995,87(1/2):236 − 252.

    [7]

    ZIENKIEWICZ O C,SHIOMI T. Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution[J]. International Journal for Numerical and Analytical Methods in Geomechanics,1984,8(1):71 − 96.

    [8]

    VERRUIJT A. An introduction to soil dynamics[M]. DordrechtSpringer Netherlands,2010

    [9]

    BEUTH L,BENZ T,VERMEER P A,et al. Large deformation analysis using a quasi-static material point method[J]. Journal of Theoretical and Applied Mechanics,2008,38(1 − 2):45 − 60

    [10]

    BEUTH L,WIĘCKOWSKI Z,VERMEER P A. Solution of quasi-static large-strain problems by the material point method[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2011,35(13):1451 − 1465.

    [11]

    黄鹏,张雄. 岩土边坡失效分析的物质点法研究:中国计算力学大会2010(CCCM2010) 暨第八届南方计算力学学术会议(SCCM8),中国四川绵阳,2010[C][143]. [HUANG Peng,ZHANG Xiong. Material point method for failure analysis of rock and soil slopes:Chinese congress of computational mechanics 2010 (CCCM2010) and the 8th Southern Conference of Computational Mechanics (SCCM8),Mianyang,Sichuan,China,2010:143. (in Chinese with English abstract)]

    HUANG Peng, ZHANG Xiong. Material point method for failure analysis of rock and soil slopes: Chinese congress of computational mechanics 2010 (CCCM2010) and the 8th Southern Conference of Computational Mechanics (SCCM8), Mianyang, Sichuan, China, 2010: 143. (in Chinese with English abstract)

    [12]

    HUANG P,LI S L,GUO H,et al. Large deformation failure analysis of the soil slope based on the material point method[J]. Computational Geosciences,2015,19(4):951 − 963.

    [13]

    LLANO-SERNA M A,FARIAS M M,PEDROSO D M. An assessment of the material point method for modelling large scale Run-out processes in landslides[J]. Landslides,2016,13(5):1057 − 1066.

    [14]

    LI X P,WU Y,HE S M,et al. Application of the material point method to simulate the post-failure runout processes of the Wangjiayan landslide[J]. Engineering Geology,2016,212:1 − 9.

    [15]

    宰德志,庞锐. 基于物质点法的土体强度对边坡失稳滑动距离影响研究[J]. 水利与建筑工程学报,2021,19(5):46 − 51. [ZAI Dezhi,PANG Rui. Influence of soil strength on sliding distance of slope instability based on material point method [J]. Journal of Water Resources and Architectural Engineering,21,19(5):46 − 51. (in Chinese with English abstract)]

    ZAI Dezhi, PANG Rui. Influence of soil strength on sliding distance of slope instability based on material point method [J]. Journal of Water Resources and Architectural Engineering, 21, 19(5): 46 − 51. (in Chinese with English abstract)

    [16]

    姚云. 基于物质点法考虑剪胀特性的土质边坡稳定性分析[J]. 湖南交通科技,2017,43(2):82 − 85. [YAO Yun. Stability analysis of soil slope considering dilatancy characteristics based on material point method[J]. Hunan Communication Science and Technology,2017,43(2):82 − 85. (in Chinese with English abstract)]

    YAO Yun. Stability analysis of soil slope considering dilatancy characteristics based on material point method[J]. Hunan Communication Science and Technology, 2017, 43(2): 82 − 85. (in Chinese with English abstract)

    [17]

    杨婷婷,杨永森,邱流潮. 基于物质点法的土体流动大变形过程数值模拟[J]. 工程地质学报,2018,26(6):1463 − 1472. [YANG Tingting,YANG Yongsen,QIU Liuchao. Mpm based numerical simulation of large deformation process of soil flow[J]. Journal of Engineering Geology,2018,26(6):1463 − 1472. (in Chinese with English abstract)]

    YANG Tingting, YANG Yongsen, QIU Liuchao. Mpm based numerical simulation of large deformation process of soil flow[J]. Journal of Engineering Geology, 2018, 26(6): 1463 − 1472. (in Chinese with English abstract)

    [18]

    QU C X,WANG G,FENG K W,et al. Large deformation analysis of slope failure using material point method with cross-correlated random fields[J]. Journal of Zhejiang University-Science A (Applied Physics & Engineering),2021,22(11):856 − 870.

    [19]

    YERRO A,ALONSO E E,PINYOL N M. Run-out of landslides in brittle soils[J]. Computers and Geotechnics,2016,80:427 − 439.

    [20]

    LIU X,WANG Y,LI D Q. Investigation of slope failure mode evolution during large deformation in spatially variable soils by random limit equilibrium and material point methods[J]. Computers and Geotechnics,2019,111:301 − 312.

    [21]

    刘磊磊,梁昌奇,徐蒙,等. 考虑参数旋转各向异性空间变异性的边坡大变形概率分析[J]. 地球科学,2023,48(5):1836 − 1852. [LIU Leilei,LIANG Changqi,XU Meng,et al. Probabilistic analysis of large slope deformation considering soil spatial variability with rotated anisotropy[J]. Earth Science,2023,48(5):1836 − 1852. (in Chinese with English abstract)]

    LIU Leilei, LIANG Changqi, XU Meng, et al. Probabilistic analysis of large slope deformation considering soil spatial variability with rotated anisotropy[J]. Earth Science, 2023, 48(5): 1836 − 1852. (in Chinese with English abstract)

    [22]

    LIU L L,LIANG C Q,HUANG L,et al. Parametric analysis for the large deformation characteristics of unstable slopes with linearly increasing soil strength by the random material point method[J]. Computers and Geotechnics,2023,162:105661.

    [23]

    LI X,TANG S,ZHENG Y,et al. Influence of the matrix of the soil-rock mixture on deformation and failure behaviors of the slope based on material point method[J]. Frontiers in Earth Science,2022,10:997928.

    [24]

    蒋涛,崔圣华,冉耀. 开挖和降雨耦合诱发滑坡机理分析——以四川万源前进广场滑坡为例[J]. 中国地质灾害与防治学报,2023,34(3):20 − 30. [JIANG Tao,CUI Shenghua,RAN Yao. Analysis of landslide mechanism induced by excavation and rainfall:A case study of the Qianjin Square landslide in Wanyuan City,Sichuan Province[J]. The Chinese Journal of Geological Hazard and Control,2023,34(3):20 − 30. (in Chinese with English abstract)]

    JIANG Tao, CUI Shenghua, RAN Yao. Analysis of landslide mechanism induced by excavation and rainfall: A case study of the Qianjin Square landslide in Wanyuan City, Sichuan Province[J]. The Chinese Journal of Geological Hazard and Control, 2023, 34(3): 20 − 30. (in Chinese with English abstract)

    [25]

    张彦博, 孙俊, 陈涛, 等. 贵州“7•23” 水城滑坡触发机制及二次滑坡动力致灾分析[J]. 中国地质灾害与防治学报,2025,36(3):18 − 26. [ZHANG Yanbo, SUN Jun, CHEN Tao, et al. Triggering mechanism and secondary landslide analyses of the “7•23” Shuicheng landslide in Guizhou[J]. The Chinese Journal of Geological Hazard and Control,2025,36(3):18 − 26. (in Chinese with English abstract)]

    ZHANG Yanbo, SUN Jun, CHEN Tao, et al. Triggering mechanism and secondary landslide analyses of the “7•23” Shuicheng landslide in Guizhou[J]. The Chinese Journal of Geological Hazard and Control, 2025, 36(3): 18 − 26. (in Chinese with English abstract)

    [26]

    顾福计,钱龙,王梦洁,等. 太行山河北段 “23•7” 强降雨引发的地质灾害规律研究[J]. 中国地质灾害与防治学报,2024,35(2):55 − 65. [GU Fuji,QIAN Long,WANG Mengjie,et al. Analysis of geological hazards caused by the “23•7” heavy rainfall in the northern section of Taihang Mountain in Hebei Province[J]. The Chinese Journal of Geological Hazard and Control,2024,35(2):55 − 65. (in Chinese with English abstract)]

    GU Fuji, QIAN Long, WANG Mengjie, et al. Analysis of geological hazards caused by the “23•7” heavy rainfall in the northern section of Taihang Mountain in Hebei Province[J]. The Chinese Journal of Geological Hazard and Control, 2024, 35(2): 55 − 65. (in Chinese with English abstract)

    [27]

    QIN J Y,MEI G,XU N X. Meshfree methods in geohazards prevention:A survey[J]. Archives of Computational Methods in Engineering,2022,29(5):3151 − 3182.

    [28]

    WANG B,VARDON P J,HICKS M A. Rainfall-induced slope collapse with coupled material point method[J]. Engineering Geology,2018,239:1 − 12.

    [29]

    JASSIM I,STOLLE D,VERMEER P. Two-phase dynamic analysis by material point method[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2013,37(15):2502 − 2522.

    [30]

    GIRARDI V,YERRO A,CECCATO F,et al. Modelling deformations in water retention structures with unsaturated material point method[J]. Proceedings of the Institution of Civil Engineers - Geotechnical Engineering,2021,174(5):577 − 592.

    [31]

    HIGO Y,OKA F,KIMOTO S,et al. A coupled MPM-FDM analysis method for multi-phase elasto-plastic soils[J]. Soils and Foundations,2010,50(4):515 − 532.

    [32]

    ZHENG X C,PISANÒ F,VARDON P J,et al. Fully implicit,stabilised MPM simulation of large-deformation problems in two-phase elastoplastic geomaterials[J]. Computers and Geotechnics,2022,147:104771.

    [33]

    ABE K,SOGA K,BANDARA S. Material point method for coupled hydromechanical problems[J]. Journal of Geotechnical and Geoenvironmental Engineering,2014,140(3):04013033.

    [34]

    SOŁOWSKI W T,SEYEDAN S. Granular material point method:unsaturated soil modelling[J]. Geomechanics for Energy and the Environment,2023,34:100471.

    [35]

    ZHAN Z Q,ZHOU C,LIU C Q,et al. Modelling hydro-mechanical coupled behaviour of unsaturated soil with two-phase two-point material point method[J]. Computers and Geotechnics,2023,155:105224.

    [36]

    FENG K W,HUANG D R,WANG G. Two-layer material point method for modeling soil–water interaction in unsaturated soils and rainfall-induced slope failure[J]. Acta Geotechnica,2021,16(8):2529 − 2551.

    [37]

    CECCATO F,YERRO A,GIRARDI V,et al. Two-phase dynamic 物质点法 formulation for unsaturated soil[J]. Computers and Geotechnics,2021,129:103876.

    [38]

    TRAN Q A,SOŁOWSKI W. Generalized interpolation material point method modelling of large deformation problems including strain-rate effects - Application to penetration and progressive failure problems[J]. Computers and Geotechnics,2019,106:249 − 265.

    [39]

    王升,曾鹏,李天斌,等. 土质滑坡失稳、运动及冲击压力物质点法模拟研究[J]. 工程地质学报,2022,30(4):1362 − 1370. [WANG Sheng,ZENG Peng,LI Tianbin,et al. Initiation,movement and impact simulation of soil landslide with material point method[J]. Journal of Engineering Geology,2022,30(4):1362 − 1370. (in Chinese with English abstract)]

    WANG Sheng, ZENG Peng, LI Tianbin, et al. Initiation, movement and impact simulation of soil landslide with material point method[J]. Journal of Engineering Geology, 2022, 30(4): 1362 − 1370. (in Chinese with English abstract)

    [40]

    WANG D,WANG B,YUAN W H,et al. Investigation of rainfall intensity on the slope failure process using GPU-accelerated coupled 物质点法[J]. Computers and Geotechnics,2023,163:105718.

    [41]

    HE K,XI C J,LIU B,et al. 物质点法-based mechanism and runout analysis of a compound reactivated landslide[J]. Computers and Geotechnics,2023,159:105455.

    [42]

    LEE W L,MARTINELLI M,SHIEH C L. An investigation of rainfall-induced landslides from the pre-failure stage to the post-failure stage using the material point method[J]. Frontiers in Earth Science,2021,9:764393.

    [43]

    MOORMANN C,HAMAD F. 物质点法 dynamic simulation of a seismically induced sliding mass[J]. IOP Conference Series:Earth and Environmental Science,2015,26:012024.

    [44]

    ALSARDI A,YERRO A. Runout modeling of earthquake-triggered landslides with the material point method[C]//IFCEE 2021. Dallas,Texas. Reston,VA:American Society of Civil Engineers,2021:21–31.

    [45]

    ALSARDI A,COPANA J,YERRO A. Modelling earthquake-triggered landslide runout with the material point method[J]. Proceedings of the Institution of Civil Engineers - Geotechnical Engineering,2021,174(5):563 − 576.

    [46]

    HE M C,RIBEIRO E SOUSA L,MÜLLER A,et al. Numerical and safety considerations about the Daguangbao landslide induced by the 2008 Wenchuan earthquake[J]. Journal of Rock Mechanics and Geotechnical Engineering,2019,11(5):1019 − 1035.

    [47]

    XU X R,JIN F,SUN Q C,et al. Three-dimensional material point method modeling of runout behavior of the Hongshiyan landslide[J]. Canadian Geotechnical Journal,2019,56(9):1318 − 1337.

    [48]

    FENG K W,HUANG D R,WANG G,et al. Physics-based large-deformation analysis of coseismic landslides:A multiscale 3D SEM-物质点法 framework with application to the hongshiyan landslide[J]. Engineering Geology,2022,297:106487.

    [49]

    FENG K W,WANG G,HUANG D R,et al. Material point method for large-deformation modeling of coseismic landslide and liquefaction-induced dam failure[J]. Soil Dynamics and Earthquake Engineering,2021,150:106907.

    [50]

    BIELAK J. Domain reduction method for three-dimensional earthquake modeling in localized regions,part I:theory[J]. Bulletin of the Seismological Society of America,2003,93(2):817 − 824.

    [51]

    YOSHIMURA C. Domain reduction method for three-dimensional earthquake modeling in localized regions,part II:Verification and applications[J]. Bulletin of the Seismological Society of America,2003,93(2):825 − 841.

    [52]

    KOHLER M,STOECKLIN A,PUZRIN A M. A 物质点法 framework for large-deformation seismic response analysis[J]. Canadian Geotechnical Journal,2022,59(6):1046 − 1060.

    [53]

    KOHLER M,HODEL D,KELLER L,et al. Case study of an active landslide at the flank of a water reservoir and its response during earthquakes[J]. Engineering Geology,2023,323:107243.

    [54]

    KOHLER M,PUZRIN A M. Mechanism of co-seismic deformation of the slow-moving La sorbella landslide in Italy revealed by 物质点法 analysis[J]. Journal of Geophysical Research (Earth Surface),2022,127(7):e2022JF006618.

    [55]

    TRAN Q A,GRIMSTAD G,ALI GHOREISHIAN AMIRI S. 物质点法ICE:A hybrid 物质点法-CFD model for simulating coupled problems in porous media. Application to earthquake-induced submarine landslides[J]. International Journal for Numerical Methods in Engineering,2024,125(5):e7383.

    [56]

    FERNÁNDEZ F,VARGAS E,MULLER A L,et al. Material point method modeling in 3D of the failure and run-out processes of the Daguangbao landslide[J]. Acta Geotechnica,2024,19(7):4277 − 4296.

    [57]

    吴方东,张巍,史卜涛,等. 堆载诱发型土质滑坡运动特征物质点法模拟[J]. 水文地质工程地质,2017,44(6):126 − 134. [WU Fangdong,ZHANG Wei,SHI Butao,et al. Run-out characteristic simulation of a surcharge-induced soil landslide using the material point method[J]. Hydrogeology & Engineering Geology,2017,44(6):126 − 134. (in Chinese with English abstract)]

    WU Fangdong, ZHANG Wei, SHI Butao, et al. Run-out characteristic simulation of a surcharge-induced soil landslide using the material point method[J]. Hydrogeology & Engineering Geology, 2017, 44(6): 126 − 134. (in Chinese with English abstract)

    [58]

    XIE T C,ZHU H H,ZHANG C X,et al. Modeling strip footings on slopes using the material point method[J]. Bulletin of Engineering Geology and the Environment,2023,82(4):99.

    [59]

    ZHU H H,XIE T C,ZHANG W,et al. Numerical simulations of a strip footing on the soil slope with a buried pipe using the material point method[J]. International Journal of Geomechanics,2023,23(11):04023190.

    [60]

    TRONCONE A,PUGLIESE L,CONTE E. Analysis of an excavation-induced landslide in stiff clay using the material point method[J]. Engineering Geology,2022,296:106479.

    [61]

    GONZÁLEZ ACOSTA J L,VARDON P J,HICKS M A. Study of landslides and soil-structure interaction problems using the implicit material point method[J]. Engineering Geology,2021,285:106043.

    [62]

    NG C W W,WANG C,CHOI C E,et al. Effects of barrier deformability on load reduction and energy dissipation of granular flow impact[J]. Computers and Geotechnics,2020,121:103445.

    [63]

    CECCATO F,REDAELLI I,DI PRISCO C,et al. Impact forces of granular flows on rigid structures:comparison between discontinuous (DEM) and continuous (物质点法) numerical approaches[J]. Computers and Geotechnics,2018,103:201 − 217.

    [64]

    WYSER E,ALKHIMENKOV Y,JABOYEDOFF M,et al. Analytical and numerical solutions for three-dimensional granular collapses[J]. Geosciences,2023,13(4):119.

    [65]

    LEI Z D,WU B S,WU S S,et al. A material point-finite element (物质点法-FEM) model for simulating three-dimensional soil-structure interactions with the hybrid contact method[J]. Computers and Geotechnics,2022,152:105009.

    [66]

    LEI X Q,CHEN X Q,YANG Z J,et al. A simple and robust 物质点法 framework for modelling granular flows over complex terrains[J]. Computers and Geotechnics,2022,149:104867.

    [67]

    CUOMO S,DI PERNA A,MARTINELLI M. Material point method (物质点法) hydro-mechanical modelling of flows impacting rigid walls[J]. Canadian Geotechnical Journal,2021,58(11):1730 − 1743.

    [68]

    LI X P,YAN Q W,ZHAO S X,et al. Investigation of influence of baffles on landslide debris mobility by 3D material point method[J]. Landslides,2020,17(5):1129 − 1143.

    [69]

    ABE K,KONAGAI K. Numerical simulation for runout process of debris flow using depth-averaged material point method[J]. Soils and Foundations,2016,56(5):869 − 888.

    [70]

    ZHAO Y D,CHOO J,JIANG Y P,et al. Coupled material point and level set methods for simulating soils interacting with rigid objects with complex geometry[J]. Computers and Geotechnics,2023,163:105708.

    [71]

    LI X P,YAO J,SUN Y L,et al. Material point method analysis of fluid–structure interaction in geohazards[J]. Natural Hazards,2022,114(3):3425 − 3443.

    [72]

    DI PERNA A,CUOMO S,MARTINELLI M. Empirical formulation for debris flow impact and energy release[J]. Geoenvironmental Disasters,2022,9(1):8.

    [73]

    CUOMO S,DI PERNA A,MARTINELLI M. Analytical and numerical models of debris flow impact[J]. Engineering Geology,2022,308:106818.

    [74]

    KAZMI Z A,KONAGAI K,IKEDA T. Field measurements and numerical simulation of debris flows from dolomite slopes destabilized during the 2005 Kashmir earthquake,Pakistan[J]. Journal of Earthquake Engineering,2014,18(3):364-388.

    [75]

    WONG T,WEI Y J,JIE Y X. Global sensitivity analysis on debris flow energy dissipation of the artificial step-pool system[J]. Computers and Geotechnics,2022,147:104758.

    [76]

    VICARI H,TRAN Q A,NORDAL S,et al. 物质点法 modelling of debris flow entrainment and interaction with an upstream flexible barrier[J]. Landslides,2022,19(9):2101 − 2115.

    [77]

    XIE X C,CECCATO F,ZHOU M L,et al. Hydro-mechanical behaviour of soils during water-soil gushing in shield tunnels using 物质点法[J]. Computers and Geotechnics,2022,145:104688.

    [78]

    谢小创,张冬梅. 基于物质点法的盾构隧道涌水涌砂模拟与应用[J]. 隧道建设(中英文),2023,43(6):1045 − 1056. [XIE Xiaochuang,ZHANG Dongmei. Simulation of water-soil gushing in shield tunnel based on material point method and its application[J]. Tunnel Construction,2023,43(6):1045 − 1056. (in Chinese with English abstract)]

    XIE Xiaochuang, ZHANG Dongmei. Simulation of water-soil gushing in shield tunnel based on material point method and its application[J]. Tunnel Construction, 2023, 43(6): 1045 − 1056. (in Chinese with English abstract)

    [79]

    张春新,朱鸿鹄,李豪杰,等. 支护压力控制下隧道周围砂土变形破坏物质点法模拟[J]. 浙江大学学报(工学版),2021,55(7):1317 − 1326. [ZHANG Chunxin,ZHU Honghu,LI Haojie,et al. Material point method simulations of sand deformation and failure around tunnel controlled by support pressure[J]. Journal of Zhejiang University (Engineering Science),2021,55(7):1317 − 1326. (in Chinese with English abstract)]

    ZHANG Chunxin, ZHU Honghu, LI Haojie, et al. Material point method simulations of sand deformation and failure around tunnel controlled by support pressure[J]. Journal of Zhejiang University (Engineering Science), 2021, 55(7): 1317 − 1326. (in Chinese with English abstract)

    [80]

    王曼灵,李树忱,周慧颖,等. 基于改进对流粒子域插值物质点法的隧道大变形分析[J]. 岩土工程学报,2024,46(8):1632 − 1643. [WANG Manling,LI Shuchen,ZHOU Huiying,et al. Improved convective particle domain interpolation material point method for large deformation analysis of tunnels[J]. Chinese Journal of Geotechnical Engineering,2024,46(8):1632 − 1643. (in Chinese with English abstract)]

    WANG Manling, LI Shuchen, ZHOU Huiying, et al. Improved convective particle domain interpolation material point method for large deformation analysis of tunnels[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(8): 1632 − 1643. (in Chinese with English abstract)

    [81]

    王桂林,余浩,翟俊,等. 带裂损隧道在爆炸作用下的二次损伤响应规律[J]. 高压物理学报,2023,37(5):197 − 208. [WANG Guilin,YU Hao,ZHAI Jun,et al. Secondary damage response of cracked tunnels under explosion[J]. Chinese Journal of High Pressure Physics,2023,37(5):197 − 208. (in Chinese with English abstract)]

    WANG Guilin, YU Hao, ZHAI Jun, et al. Secondary damage response of cracked tunnels under explosion[J]. Chinese Journal of High Pressure Physics, 2023, 37(5): 197 − 208. (in Chinese with English abstract)

    [82]

    TU S Q,LI W,ZHANG C P,et al. Face stability analysis of tunnels in saturated soil considering soil-fluid coupling effect via material point method[J]. Computers and Geotechnics,2023,161:105592.

    [83]

    CHENG X S,ZHENG G,SOGA K,et al. Post-failure behavior of tunnel heading collapse by 物质点法 simulation[J]. Science China Technological Sciences,2015,58(12):2139 − 2152.

    [84]

    LI S,ZHANG Y,WU J C,et al. Numerical modeling of pumping-induced earth fissures using coupled quasi-static material point method[J]. Journal of Geotechnical and Geoenvironmental Engineering,2023,149(9):04023065.

    [85]

    李克智,边树涛,郭晓辉. 应用物质点法实现非常规油气藏水平井压前模拟——以鄂尔多斯盆地杭锦旗区块为例[J]. 石油地质与工程,2023,37(6):109 − 113. [LI Kezhi,BIAN Shutao,GUO Xiaohui. Pre-pressure simulation of horizontal wells in conventional oil and gas reservoirs with material point method:By taking Hangjinqi Block in Ordos Basin as an example[J]. Petroleum Geology and Engineering,2023,37(6):109 − 113. (in Chinese with English abstract)]

    LI Kezhi, BIAN Shutao, GUO Xiaohui. Pre-pressure simulation of horizontal wells in conventional oil and gas reservoirs with material point method: By taking Hangjinqi Block in Ordos Basin as an example[J]. Petroleum Geology and Engineering, 2023, 37(6): 109 − 113. (in Chinese with English abstract)

    [86]

    LIANG D F,ZHAO X Y,SOGA K. Simulation of overtopping and seepage induced dike failure using two-point 物质点法[J]. Soils and Foundations,2020,60(4):978 − 988.

    [87]

    TALBOT L E D,GIVEN J,TJUNG E Y S,et al. Modeling large-deformation features of the Lower San Fernando Dam failure with the material point method[J]. Computers and Geotechnics,2024,165:105881.

    [88]

    徐云卿,周晓敏,赵世一,等. 基于B样条物质点法的溃坝流模拟研究[J]. 应用数学和力学,2023,44(8):921 − 930. [XU Yunqing,ZHOU Xiaomin,ZHAO Shiyi,et al. Simulation study on dam break flow based on the B-spline material point method[J]. Applied Mathematics and Mechanics,2023,44(8):921 − 930. (in Chinese with English abstract)]

    XU Yunqing, ZHOU Xiaomin, ZHAO Shiyi, et al. Simulation study on dam break flow based on the B-spline material point method[J]. Applied Mathematics and Mechanics, 2023, 44(8): 921 − 930. (in Chinese with English abstract)

    [89]

    REMMERSWAAL G,VARDON P J,HICKS M A. Evaluating residual dyke resistance using the random material point method[J]. Computers and Geotechnics,2021,133:104034.

    [90]

    ZHAO X Y,LIANG D F,MARTINELLI M. Numerical simulations of dam-break floods with 物质点法[J]. Procedia Engineering,2017,175:133 − 140.

    [91]

    冯晓青,叶斌,苗沪生,等. 基于固液两相耦合物质点法的饱和地基液化数值计算方法[J]. 哈尔滨工业大学学报,2024,56(11):15 − 25. [FENG Xiaoqing,YE Bin,MIAO Husheng,et al. Numerical calculation method of saturated ground liquefaction based on solid-liquid two-phase coupling material point method[J]. Journal of Harbin Institute of Technology,2024,56(11):15 − 25. (in Chinese with English abstract)]

    FENG Xiaoqing, YE Bin, MIAO Husheng, et al. Numerical calculation method of saturated ground liquefaction based on solid-liquid two-phase coupling material point method[J]. Journal of Harbin Institute of Technology, 2024, 56(11): 15 − 25. (in Chinese with English abstract)

    [92]

    LIANG W J,ZHAO J D,WU H R,et al. Multiscale modeling of anchor pullout in sand[J]. Journal of Geotechnical and Geoenvironmental Engineering,2021,147(9):04021091.

    [93]

    高宇新,朱鸿鹄,张春新,等. 砂土中锚板上拔三维物质点法模拟研究[J]. 岩土工程学报,2022,44(2):295 − 304. [GAO Yuxin,ZHU Honghu,ZHANG Chunxin,et al. Three-dimensional uplift simulation of anchor plates in sand using material point method[J]. Chinese Journal of Geotechnical Engineering,2022,44(2):295 − 304. (in Chinese with English abstract)]

    GAO Yuxin, ZHU Honghu, ZHANG Chunxin, et al. Three-dimensional uplift simulation of anchor plates in sand using material point method[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(2): 295 − 304. (in Chinese with English abstract)

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出版历程
收稿日期:  2024-05-07
修回日期:  2024-09-05
录用日期:  2024-10-08
刊出日期:  2025-08-25

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