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| Discussion on three major problems of engineering application of the particle discrete element method#br# |
| LIU Chun1,2,LE Tiancheng1,SHI Bin1,ZHU Yao1#br# |
(1. School of Earth Sciences and Engineering,Nanjing University,Nanjing,Jiangsu 210023,China;2. Nanjing University(Suzhou) High-Tech Institute,Suzhou,Jiangsu 215123,China)
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Abstract The particle discrete element method(DEM) is generally used in the macro-micro investigations of rock and soil samples. In order to simulate engineering problems,it is necessary to use larger elements to represent the rock and soil masses and to assign corresponding mechanical properties. However,there are three problems in the application of the DEM:(1) it is difficult to directly get the packing model with specific mechanical properties,i.e. the modeling is difficult,(2) large-scale engineering applications are limited by the huge computational cost and (3) the multi-field and fluid-solid coupling theory and software are not perfect. On the basis of analyzing the essence and research progress of these problems,macro-micro conversion formulas and an automatic training method are proposed for fast modeling. High performance numerical calculations can be completed based on the matrix discrete element method and the pore density flow method is introduced to realize fast multi-field and fluid-solid coupling simulations. Based on these solutions,a high-performance discrete element software MatDEM was developed from scratch,and large deformation,multi-field and fluid-solid coupling numerical simulations were realized. Finally,key science and technology problems in the future researches were discussed.
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[1] CUNDALL P A,STRACK O D L. A discrete numerical model for granular assemblies[J]. Geotechnique,1980,30(3):331–336.
[2] 徐佩华,黄润秋,邓 辉. 颗粒离散元法的颗粒碎裂研究进展[J]. 工程地质学报,2012,20(3):410–418.(XU Peihua,HUANG Runqiu,DENG Hui. Advances in fractures of particles with distinct element method[J]. Journal of Engineering Geology,2012,20(3):410–418.(in Chinese))
[3] 宁晓斌,孙新明,佘翊妮,等. 搅拌磨DEM-CFD耦合仿真研究及搅拌器强度分析[J]. 有色金属工程,2016,6(4):63–67.(NING Xiaobin,SUN Xinming,SHE Yuni,et al. Research of multidisciplinary coupling simulation of the vertical stirred mill based on DEM-CFD and analysis of the screw agitator structural strength[J]. Nonferrous Metals Engineering,2016,6(4):63–67.(in Chinese))
[4] 周 博,汪华斌,赵文锋,等. 黏性材料细观与宏观力学参数相关性研究[J]. 岩土力学,2012,33(10):3 171–3 178.(ZHOU Bo,WANG Huabin,ZHAO Wenfang,et al. Analysis of relationship between particle mesoscopic and macroscopic mechanical parameters of cohesive materials[J]. Rock and Soil Mechanics,2012,33(10):3 171–3 178. (in Chinese))
[5] 焦玉勇,王 浩,马江锋. 土石混合体力学特性的颗粒离散元双轴试验模拟研究[J]. 岩石力学与工程学报,2015,34(增1):3 564– 3 573.(JIAO Yuyong,WANG Hao,MA Jiangfeng. Research on biaxial test of mechanical characteristics on soil-rock aggregate(SRA) based on particle flow code simulation[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(Supp.1):3 564–3 573.(in Chinese))
[6] 周 健,杨永香,刘 洋,等. 循环荷载下砂土液化特性颗粒流数值模拟[J]. 岩土力学,2009,30(4):1 083–1 088.(ZHOU Jian,YANG Yongxinag,LIU Yang,et al. Numerical modeling of sand liquefaction behavior under cyclic loading[J]. Rock and Soil Mechanics,2009,30(4):1 083–1 088.(in Chinese))
[7] 张学朋,王 刚,蒋宇静,等. 基于颗粒离散元模型的花岗岩压缩试验模拟研究[J]. 岩土力学,2014,35(增1):99–105.(ZHANG Xuepeng,WANG Gang,JIANG Yujing,et al. Simulation research on granite compression test based on particle discrete element model[J]. Rock and Soil Mechanics,2014,35(Supp.1):99–105.(in Chinese))
[8] KWOK C Y,BOLTON M D. DEM Simulations of soil creep due to particle crushing[J]. Géotechnique,2013,63(16):1 365–1 376.
[9] LIU C,POLLARD D D,KAI G,et al. Mechanism of formation of wiggly compaction bands in porous sandstone. Numerical simulation using discrete element method[J]. Journal of Geophysical Research Solid Earth,2015,120(12):8 153–8 168.
[10] AHARONOV E,SCHOLZ C H. The Brittle-Ductile transition predicted by a physics-based friction Law[J]. Journal of Geophysical Research Solid Earth,2019,124(4):2 721–2 737.
[11] JIANG M J,LEROUEIL S,KONRAD J M. Insight into shear strength functions of unsaturated granulates by DEM analyses[J]. Computers and Geotechnics,2004,31(6):473–489.
[12] JiANG M J,YU H S,HARRIS D. A novel discrete model for granular material incorporating rolling resistance[J]. Computers and Geotechnics,2005,32(5):340–357.
[13] JIANG M J,YU H S,HARRIS D. Bond rolling resistance and its effect on yielding of bonded granulates by DEM analyses[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2006,30(8):723–761.
[14] 周 健,周凯敏,姚志雄,等. 砂土管涌–滤层防治的离散元数值模拟[J]. 水利学报,2010,41(1):17–24.(ZHOU Jian,ZHOU Kaimin,YAO Zhixiong,et al. Numerical simulation of piping-filter prevention in sandy soil by discrete element method[J]. Journal of Hydraulic Engineering,2010,41(1):17–24.(in Chinese))
[15] 蒋明镜,王富周,朱合华,等. 考虑尾隙的盾构隧道土压力离散元数值分析[J]. 地下空间与工程学报,2010,6(1):28–32.(JIANG Mingjing,WANG Fuzhou,ZHU Hehua,et al. Numerical simulation on earth pressure for shield tunnels incorporating tail gaps by DEM[J]. Chinese Journal of Underground Space and Engineering,2010,6(1):28–32.(in Chinese))
[16] 李祥龙,唐辉明,熊承仁,等. 岩石碎屑流运移堆积过程数值模拟[J]. 工程地质学报,2011,19(2):168–175.(LI Xianglong,TANG Huiming,XIONG Chengren,et al. Numerical simulation of flow and deposition process of rock avalanche[J]. Journal of Engineering Geology,2011,19(2):168–175.(in Chinese))
[17] 赵兰浩,侯世超,毛 佳. 库区滑坡涌浪数值模拟方法研究进展[J]. 水利水电科技进展,2016,36(2):79–86.(ZHAO Lanhao,HOU Shichao,MAO Jia. Review of numerical simulation of landslides and surges in reservoir districts[J]. Advances in Science and Technology of Water Resources,2016,36(2):79–86.(in Chinese))
[18] GIANVITO S,XUANMEI F,QIANG X,et al. Some considerations on the use of numerical methods to simulate past landslides and possible new failures:the case of the recent Xinmo landslide (Sichuan,China)[J]. Landslides,2018,15:1 359–1 375.
[19] 刘广煜,徐文杰,佟 彬,等. 基于块体离散元的高速远程滑坡灾害动力学研究[J]. 岩石力学与工程学报,2019,38(8):1 557–1 566. (LIU Guangyu,XU Wenjie,TONG Bin,et al. Study on dynamics of high-speed and long run-out landslide hazards based on block discrete element method[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(8):1 557–1 566.(in Chinese))
[20] 肖思友,苏立君,姜元俊. 碎屑流冲击柔性网的离散元仿真研究[J]. 岩土工程学报,2019,41(3):526–533.(XIAO Siyou,SU Lijun,JIANG Yuanjun. Numerical investigation on flexible barriers impacted by dry granular flows using DEM modeling[J]. Chinese Journal of Geotechnical Engineering,2019,41(3):526–533.(in Chinese))
[21] 蒋明镜. 现代土力学研究的新视野——宏微观土力学[J]. 岩土工程学报,2019,41(2):195–254.(JIANG Mingjing. New paradigm for modern soil mechanics:Geomechanics from micro to macro[J]. Chinese Journal of Geotechnical Engineering,2019,41(2):195–254.(in Chinese))
[22] 冯 春,李世海,王 杰. 基于CDEM的顺层边坡地震稳定性分析方法研究[J]. 岩土工程学报,2012,34(4):717–724.(FENG Chun,LI Shihai,WANG Jie. Stability analysis method for bedding rock slopes under seismic load[J]. Chinese Journal of Geotechnical Engineering,2012,34(4):717–724.(in Chinese))
[23] 李世海,冯 春,周 东,等. 滑坡研究中的力学方法[M]. 北京:科学出版社,2018:332–348.(LI Shihai,FENG Chun,ZHOU Dong,et al. Mechanical methods in landslide research [M]. Beijing:Science Press,2018:332–348.(in Chinese))
[24] 季顺迎,赵金凤,狄少丞,等. 面向环境力学的离散元分析软件研发和工程应用[J]. 计算机辅助工程,2014,23(1):69–75.(JI Shunyin,ZHAO Jinfeng,DI Shaochen,et al. Development and engineering application of discrete element analysis software for environmental mechanics[J]. Computer Aided Engineering,2014,23(1):69–75.(in Chinese))
[25] HOOVER W G. Two-dimensional computer studies of crystal stability and fluid viscosity[J]. The Journal of Chemical Physics,1974,60(10):4 043.
[26] 刘嘉英,马 刚,周 伟,等. 基于离散元的颗粒材料三维临界状态与剪胀特性研究[J]. 水利学报,2017,48(9):1 107–1 117.(LIU Jiaying,MA Gang,ZHOU Wei,et al. Three-dimensional critical state and dilatancy of granular materials based on DEM[J]. Journal of Hydraulic Engineering,2017,48(9):1 107–1 117.(in Chinese))
[27] POLLARD D D,FLETCHER R C. Fundamentals of Structural Geology[J]. Fundamentals of Structural Geology,2005:512.
[28] YIN H,ZHANG J,MENG L,et al. Discrete element modeling of the faulting in the sedimentary cover above an active salt diapir[J]. Journal of Structural Geology,2009,31(9):989–995.
[29] LIU C,POLLARD D D,SHI B. Analytical solutions and numerical tests of elastic and failure behaviors of close-packed lattice for brittle rocks and crystals[J]. Journal of Geophysical Research Solid Earth,2013,118(1):71–82.
[30] LIU C,QIANG X,SHI B,et al. Mechanical properties and energy conversion of 3D close-packed lattice model for brittle rocks[J]. Computers and Geosciences,2017,103(C):12–20.
[31] 胡训健,卞 康,刘 建,等. 细观结构的非均质性对花岗岩蠕变特性影响的离散元模拟研究[J]. 岩石力学与工程学报,2019,38(10):2 069–2 083.(HU Xunjian,BIAN Kang,LIU Jian,et al. Discrete element simulation study on the influence of microstructure heterogeneity on the creep characteristics of granite[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(10):2 069– 2 083.(in Chinese))
[32] CUNDALL P A,STRACK O D L. A discrete numerical model for granular assemblies[J]. Geotechnique,2008,29(30):331–336.
[33] 覃金帛,曾志强,梁 藉,等. GPU并行优化技术在水利计算中的应用综述[J]. 计算机工程与应用,2018,(3):23–29.(QIN Jinbo,ZENG Zhiqiang,LIANG Jie,et al. Review of application GPU technology in hydraulic parallel optimization calculation[J]. Computer Engineering and Applications,2018,(3):23–29.(in Chinese))
[34] 张晓宇,许 强,刘 春,等. 黏性土失水开裂多场耦合离散元数值模拟[J]. 工程地质学报,2017,25(6):1 430–1 437.(ZHANG Xiaoyu,XU Qiang,LIU Chun,et al. Numerical simulation of drying cracking using multi-field coupling discrete element method[J]. Journal of Engineering Geology,2017,25(6):1 430–1 437.(in Chinese))
[35] LIU Y,ZHANG D,WANG G Y,et al. Discrete element method-based prediction of areas prone to buried hill-controlled earth fissures[J]. Journal of Zhejiang University Science A,2019,20(3):794–803.
[36] 朱晨光,刘 春,许 强,等. 滑坡滑带摩擦热离散元数值模拟研究[J]. 工程地质学报,2019,27(3):651–658.(ZHU Chenguang,LIU Chun,XU Qiang,et al. Discrete element numerical simulation research on friction heat in sliding zone of the landslide[J]. Journal of Engineering Geology,2019,27(3):651–658.(in Chinese))
[37] KLOSS C,GONIVA C,HAGER A,et al. Models,algorithms and validation for opensource DEM and CFD-DEM[J]. Progress in Computational Fluid Dynamics,An International Journal,2012,12(2/3):140.
[38] NOROUZI H R,ZARGHAMI R,SOTUDEH‐GHAREBAGH R,et al. CFD‐DEM applications to multiphase flow[M]. Coupled CFD-DEM modeling:formulation,implementation and application to multiphase flows,2016.
[39] 戴 轩,郑 刚,程雪松,等. 基于DEM-CFD方法的基坑工程漏水漏砂引发地层运移规律的数值模拟[J]. 岩石力学与工程学报,2019,38(2):396–408.(DAI Xuan,ZHENG Gang,CHENG Xuesong,et al. Numerical simulation of ground movement induced by leakage of groundwater and sand in excavations based on the DEM-CFD method[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(2):396–408.(in Chinese))
[40] 郭照立,郑楚光. 格子BOLTZMANN方法的原理及应用[M]. 北京:科学出版社,2009:201–216.(GUO Zhaoli,ZHENG Chuguang. Theory and applications of lattice boltzmann method[M]. Beijing:Science Press,2009:201–216.(in Chinese))
[41] HAN Y,CUNDALL P A. LBM–DEM modeling of fluid–solid interaction in porous media[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2013,37(10):1 391–1 407.
[42] ROBINSON M J,LUDING S,RAMAIOLI M. Fluid-particle flow simulations using two-way-coupled mesoscale SPH–DEM and validation[J]. International Journal of Multiphase Flow,2014,59(2):121–134.
[43] 季顺迎,谭援强. 颗粒材料计算力学专题序[J]. 力学学报,2019,51(1):14–15.(JI Shunying,TAN Yuanqiang. Theme articles on “computation mechanics of granular materials”preface[J]. Chinese Journal of Theoretical and Applied Mechanics,2019,51(1):14–15.(in Chinese))
[44] FRIES L,ANTONYUK S,HEINRICH S,et al. DEM-CFD modeling of a fluidized bed spray granulator[J]. Chemical Engineering Science,2011,66(11):2 340–2 355.
[45] ZHAO T,DAI F,XU N W. Coupled DEM-CFD investigation on the formation of landslide dams in narrow rivers[J]. Landslides,2016:1–13.
[46] 黄 雨,郝 亮,野々山人. SPH方法在岩土工程中的研究应用进展[J]. 岩土工程学报,2008,30(2):256–262.(HUANG Yu,HAO Liang,NONOYAMA H. The state of the art of SPH method applied in geotechnical engineering[J]. Chinese Journal of Geotechnical Engineering,2008,30(2):256–262.(in Chinese))
[47] 季顺迎. 计算颗粒力学及工程应用[M]. 北京:科学出版社,2019:159–170.(JI Shunyin. Computational granular and its engineering application[M]. Beijing:Science Press,2019:159–170.(in Chinese))
[48] ZHENG X,DUAN W Y,MA Q W. Comparison of improved meshless interpolation schemes for sph method and accuracy analysis[J]. Journal of Marine Science and Application,2010,9(3):223–230.
[49] SHAMY U E,ABDELHAMID Y. Modeling granular soils liquefaction using coupled lattice Boltzmann method and discrete element method[J]. Soil Dynamics and Earthquake Engineering,2014,67:119–132.
[50] YUAN C,CHAREYRE B. A pore-scale method for hydromechanical coupling in deformable granular media[J]. Computer Methods in Applied Mechanics and Engineering,2017,318:1 066–1 079. |
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