›› 2006, Vol. 27 ›› Issue (4): 525-529.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Study on fast lagrangian numerical analysis method for rock and soil medium in 3 dimensions

LIU Jian-hua, ZHU Wei-shen, LI Shu-cai   

  1. Geotechnical and Structural Engineering Research Center, Shandong University, Jinan 250061, China
  • Received:2004-09-27 Online:2006-04-10 Published:2013-11-05

Abstract: The characters of FLAC3D are studied and compared with finite element method. FLAC3D method uses node motion equation and traces the medium motion process from being loaded to reaching equilibrium state. While the finite element method solves from mechanical equilibrium equation directly. The above is the basic difference between the two methods. Because FLAC3D does not use the real medium damping property and node mass, the real process experiencing by the medium is not given and the influence of medium motion process on result cannot be reflected rightly. So the physical meaning of stress and deformation given by FLAC3D is not very clear. The medium vibration during solving process is a noise rather than a more real simulation to medium mechanical behavior and could cause calculation error for elastoplastic medium. The study shows that FLAC3D has a very high precision in determining the stress and deformation of elastic medium at equilibrium state and the vibration in solving process almost does not affect the final result. The advantages of FLAC3D method are that its mathematical operation is simple, and the solving process is convergent, and it is convenient in treating cases of medium large deformation, elastoplastic property, non-associated flow rule, excavation and supporting, etc. compared with finite element method. The defects of FLAC3D are that its calculation time is long, and the efficiency is low, and in some cases the number of time steps is high amazingly which may result in accumulating error. Studies in four aspects are also made through examples. (1) Comparisons between Drucker-Prager yield criterion and Mohr-Coulomb yield criterion. (2) Influence of dilation angle value on calculation result. (3) Influence of large deformation mode and small deformation mode on calculation result. (4) Influence of calculation precision setting on result.

Key words: rock and soil medium, Lagrangian numerical analysis method, finite element method, yield criterion, dilation angle

CLC Number: 

  • TU 452
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
  • [1] WANG Xiang-nan, LI Quan-ming, YU Yu-zhen, YU Jia-lin, LÜ He, . Simulation of the failure process of landslides based on extended finite element method [J]. Rock and Soil Mechanics, 2019, 40(6): 2435-2442.
    [2] QIU Min, YUAN Qing, LI Chang-jun, XIAO Chao-chao, . Comparative study of calculation methods for undrained shear strength of clay based on cavity expansion theory [J]. Rock and Soil Mechanics, 2019, 40(3): 1059-1066.
    [3] ZHENG An-xing, LUO Xian-qi, CHEN Zhen-hua, . Hydraulic fracturing coupling model of rock mass based on extended finite element method [J]. Rock and Soil Mechanics, 2019, 40(2): 799-808.
    [4] CHEN Feng, ZHANG Qing-qing, YAO Wei, YE Liang-liang, . Dilation behavior and dilation angle model of salt rock with mudstone [J]. Rock and Soil Mechanics, 2018, 39(S2): 195-201.
    [5] SONG Jia, GU Quan, XU Cheng-shun, DU Xiu-li,. Implementation of fully explicit method for dynamic equation of saturated soil in OpenSees [J]. , 2018, 39(9): 3477-3485.
    [6] SONG Jia, DU Xiu-li, XU Cheng-shun, SUN Bao-yin,. Research on the dynamic responses of saturated porous media-pile foundation-superstructure system [J]. , 2018, 39(8): 3061-3070.
    [7] LI Ning, GUO Shuang-feng, YAO Xian-chun,. Further study of stability analysis methods of high rock slopes [J]. , 2018, 39(2): 397-406.
    [8] LUO Xian-qi, ZHENG An-xing,. Application of extended finite element method in modelling fracture of rock mass [J]. , 2018, 39(2): 728-734.
    [9] LIU Zhong-yu, ZHANG Jia-chao, ZHENG Zhan-lei, GUAN Cong. Finite element analysis of two-dimensional Biot’s consolidation with Hansbo’s flow [J]. Rock and Soil Mechanics, 2018, 39(12): 4617-4626.
    [10] LIU Zhen-ping, DU Gen-ming, CAI Jie, ZHOU Fan, LIU Jian, BIAN Kang,. Seamless coupling method of 3DGIS combined with 3DFEM simulation based on MeshPy [J]. , 2018, 39(10): 3841-3852.
    [11] TU Yi-liang, LIU Xin-rong, ZHONG Zu-liang, DU Li-bing, WANG Peng, . The unity of three types of slope failure criteria [J]. , 2018, 39(1): 173-180.
    [12] ZOU De-gao, LIU Suo, CHEN Kai, KONG Xian-jing, YU Xiang,. Static and dynamic analysis of seismic response nonlinearity for geotechnical engineering using quadtree mesh and polygon scaled boundary finite element method [J]. , 2017, 38(S2): 33-40.
    [13] LIU Yang, YANG Gang, WANG Jun-xiang, JIANG An-nan,. Mohr-Coulomb elastoplastic damage constitutive model of rock and implicit return mapping algorithm in principal stress space [J]. , 2017, 38(S1): 418-428.
    [14] HE Wei-jie, YANG Dong-ying, CUI Zhou-fei. Comparison of theoretical and numerical solution for vertical vibration of a pile considering transverse inertia effect [J]. , 2017, 38(9): 2757-2763.
    [15] LUO Tao, E. T. Ooi, A. H. C Chan, FU Shao-jun,. A combined DEM-SBFEM for modelling particle breakage of rock-fill materials [J]. , 2017, 38(5): 1463-1471.
    Viewed
    Full text


    Abstract

    Cited

      Shared   
      Discussed   
    [1] XIANG Tian-bing, FENG Xia-ting, CHEN Bing-rui, JIANG Quan, ZHANG Chuan-qing. Rock failure mechanism and true triaxial experimental study of specimens with single structural plane under three-dimensional stress[J]. , 2009, 30(10): 2908 -2916 .
    [2] WEN Shi-qiang, CHEN Yu-min, DING Xuan-ming, ZUO Wei-long. Application of grouted gravel pile in soft subgrade improvement of expressway[J]. , 2010, 31(5): 1559 -1563 .
    [3] ZHANG Chang-guang,ZHANG Qing-he,ZHAO Jun-hai. Unified solutions of shear strength and earth pressure for unsaturated soils[J]. , 2010, 31(6): 1871 -1876 .
    [4] YANG Tian-hong, CHEN Shi-kuo, ZHU Wan-cheng, LIU Hong-lei. Coupled model of gas-solid in coal seams based on dynamic process of pressure relief and gas drainage[J]. , 2010, 31(7): 2247 -2252 .
    [5] HAO Dong-xue, CHEN Rong, LUAN Mao-tian, WU Ke. Numerical analysis of SBPT for estimation of undrained shear strength[J]. , 2010, 31(7): 2324 -2328 .
    [6] HU Xiu-hong,WU Fa-quan. Research on two-parameter negative exponential distribution of discontinuity spacings in rock mass[J]. , 2009, 30(8): 2353 -2358 .
    [7] BING Hui , HE Ping. Experimental study of water and salt redistributions of saline soil with different freezing modes[J]. , 2011, 32(8): 2307 -2312 .
    [8] LI Wei-chao, XIONG Ju-hua, YANG Min. Improved method for calculating anti-overturning safety factor of cement-soil retaining wall in layered soil[J]. , 2011, 32(8): 2435 -2440 .
    [9] FAN Shu-li ,CHEN Jian-yun ,ZHANG Jun-qing. Research on bearing capacity of inclined uplift pile under wave cyclic loading[J]. , 2012, 33(1): 301 -306 .
    [10] ZHA Fu-sheng, XU Long, CUI Ke-rui. Strength characteristics of heavy metal contaminated soils stabilized/solidified by cement[J]. , 2012, 33(3): 652 -658 .