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双轴压缩下颗粒物质剪切带的形成与发展

毕忠伟 孙其诚 刘建国 金峰 张楚汉

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双轴压缩下颗粒物质剪切带的形成与发展

毕忠伟, 孙其诚, 刘建国, 金峰, 张楚汉

Development of shear band in a granular material in biaxial tests

Bi Zhong-Wei, Sun Qi-Cheng, Liu Jian-Guo, Jin Feng, Zhang Chu-Han
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  • 本文采用离散元方法,研究了双轴压缩的颗粒体系在刚性边界约束下,局部剪切带的形成和发展过程,注重分析了细观的体积分数、配位数、颗粒旋转角度等参数以及力链结构形态的演变.并从颗粒体系jamming 相图中J点附近的边壁压强和配位数随体积分数的标度规律出发,分析了剪切带内外的体积分数和配位数的变化.结果表明:剪切带形成于颗粒体系的塑性变形开始阶段,此时体系发生剪胀,颗粒体积分数减小,颗粒体系抵抗旋转的能力降低,开始出现细小剪切带,随着轴向应变的继续,细小剪切带发生连接,最终导致贯穿性优势剪切带形成
    Granular matter is a large assemblage of dense packed particles. A granular skeleton frame is linked by grain-to-grain contacts. An external loading is usually transmitted through selective pathways from the skeleton frame, and heterogeneous force chain architecture is formed. The formation and evolution of shear band have importarit bearing to the stability of a granular assembly. In this work, the mechanical properties of granular matter under biaxial test are studied by using DEM simulations. Evolutions of stress, volumetric strain, coordination number, distribution of particle rotation and solid fractions are analyzed. The results show that within shear zone the solid fraction is smaller and the coordination number fluctuates violently, which indicates that they are unjammed, while beyond the shear band the particles are jammed. Therefore, we could say that the shear band actually corresponds to the complicated jamming transition. Three types of force chain configurations are observed under different axial strains: circle-shaped, column-shaped, both column and vortex-shaped. Such structures would be dominant to the mechanical properties of macro-mechanical properties and granular system, and pending further studies.
    • 基金项目: 国家重点基础研究发展计划(批准号:2010CB731504),国家自然科学基金(批准号:50904036,11034010),清华大学水沙科学与水利水电工程国家重点实验室自主项目(批准号:2008-ZY-06; 2010-TC-1) 资助的课题.
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    Chen B, Peng X H, Fan J H, Sun S T, Luo J 2009 Acta Phys. Sin. 58 S29 (in Chinese) [陈 斌、彭向和、范镜泓、孙士涛、罗 吉2009 物理学报 58 S29]

    [5]

    Matsuoka H 1974 Soils Found 14 29

    [6]

    Yan Z J, Lin J F, Zhou Y H, Wu Y Q 2007 Acta Phys. Sin. 56 999 (in Chinese) [闫志杰、李金富、周尧和、仵彦卿 2007 物理学报 56 999]

    [7]

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    Mokni M, Desrues J 1998 Mechanics of Cohesive-Frictional Materials and Structures 4 419

    [9]

    Desrues J, Viggiani G 2004 Int. J. Num. Anal. Meth. Geomech. 28 279

    [10]

    Scarpelli G, Vermeer P A, Luger H J, Wood D M 1982 Proceedings of the IUTAM Conference on Deformation and Failure of Granular Materials 473

    [11]

    Han C, Vardoulakis I G 1991 Geotechnique 41 49

    [12]

    Harris W W, Viggiani G, Mooney M A, Finno R J 1995 Geotech. Test. J. 18 405

    [13]

    Cundall P A, Strack O D L 1979 Geotechnique 29 47

    [14]

    Tordesillas A 2007 Philos. Mag. 87 4987

    [15]

    Zhang J, Majmudar T S, Tordesillas A, Behringer R P 2010 Granular Matter 12 159

    [16]

    Markauskas D, Ka Dč ianauskas R 2006 J. Civil Eng. Management 12 153

    [17]

    Luding S, Latzel M, Volk W, Diebels S, Herrmann H J 2001 Comp. Meth. Appl. Mech. Eng. 191 21

    [18]

    Richard G Wan, Guo P J 2004 J. Eng. Mech. 130 635

    [19]

    Oda M, Iwashita K 2000 Int. J. Eng. Sci. 38 1713

    [20]

    Zhou J, Chi Y 2004 Acta Mech. Solid Sin. 25 377

    [21]

    Jiang M J, Peng L C,Zhu H H,Lin Y X, Huang L J China Ocean Eng. 27 329

    [22]

    Bardet J P, Proubet J 1992 Solid State Phenomena 23 473

    [23]

    Vardoulakis I, Aifantis E C 1991 Acta Mech. 87 197

    [24]

    Chambon G, Schmittbuhl J 2003 Phys. Rev. E 68 011304

    [25]

    O’Hern C S,Silbert L E, Liu A J,Nagel S R 2003 Phys. Rev. E 68 011306

    [26]

    Sun Q C, Wang G Q, Hu K H 2009 Prog. Nat. Sci. 19 523

    [27]

    Sun Q C, Jin F, Wang G Q, Zhang G H 2010 Acta Phys. Sin. 59 31 [孙其诚、金 峰、王光谦、张国华2010 物理学报 59 31]

    [28]

    Wang W J, Kong X Z, Zhu Z G 2007 Phys. Rev. E 75 041302

    [29]

    Andrade J S, Hermann H J, Andrade R F S, da Silva L R 2009 Phys. Rev. Lett. 102 079901

    [30]

    Arévalo E, Mertens F G 2007 Phys. Rev. E 76 046607

    [31]

    Tordesillas A, Walker D M, Lin Q 2010 Phys. Rev. E 81 011302

    [32]

    Ling X, Hu M B, Jiang R, Wu Q S 2010 Phys. Rev. E 81 016113

  • [1]

    Li G X 2004 Advanced Soil Mechanics (1st ed) (Beijing: Tsinghua University Press) (in Chinese) [李广信 2004 高等土力学(第一版)(北京: 清华大学出版社)]

    [2]

    Sun Q C, Jin F 2009 Wuli (Physics) 39 219 (in Chinese) [孙其诚、金 峰 2009 物理 39 219]

    [3]

    Roscoe K H 1970 Geotechnique 20 129

    [4]

    Chen B, Peng X H, Fan J H, Sun S T, Luo J 2009 Acta Phys. Sin. 58 S29 (in Chinese) [陈 斌、彭向和、范镜泓、孙士涛、罗 吉2009 物理学报 58 S29]

    [5]

    Matsuoka H 1974 Soils Found 14 29

    [6]

    Yan Z J, Lin J F, Zhou Y H, Wu Y Q 2007 Acta Phys. Sin. 56 999 (in Chinese) [闫志杰、李金富、周尧和、仵彦卿 2007 物理学报 56 999]

    [7]

    Vardoulakis I 1980 Int. J. Num. Anal. Meth. Geomech. 4 103

    [8]

    Mokni M, Desrues J 1998 Mechanics of Cohesive-Frictional Materials and Structures 4 419

    [9]

    Desrues J, Viggiani G 2004 Int. J. Num. Anal. Meth. Geomech. 28 279

    [10]

    Scarpelli G, Vermeer P A, Luger H J, Wood D M 1982 Proceedings of the IUTAM Conference on Deformation and Failure of Granular Materials 473

    [11]

    Han C, Vardoulakis I G 1991 Geotechnique 41 49

    [12]

    Harris W W, Viggiani G, Mooney M A, Finno R J 1995 Geotech. Test. J. 18 405

    [13]

    Cundall P A, Strack O D L 1979 Geotechnique 29 47

    [14]

    Tordesillas A 2007 Philos. Mag. 87 4987

    [15]

    Zhang J, Majmudar T S, Tordesillas A, Behringer R P 2010 Granular Matter 12 159

    [16]

    Markauskas D, Ka Dč ianauskas R 2006 J. Civil Eng. Management 12 153

    [17]

    Luding S, Latzel M, Volk W, Diebels S, Herrmann H J 2001 Comp. Meth. Appl. Mech. Eng. 191 21

    [18]

    Richard G Wan, Guo P J 2004 J. Eng. Mech. 130 635

    [19]

    Oda M, Iwashita K 2000 Int. J. Eng. Sci. 38 1713

    [20]

    Zhou J, Chi Y 2004 Acta Mech. Solid Sin. 25 377

    [21]

    Jiang M J, Peng L C,Zhu H H,Lin Y X, Huang L J China Ocean Eng. 27 329

    [22]

    Bardet J P, Proubet J 1992 Solid State Phenomena 23 473

    [23]

    Vardoulakis I, Aifantis E C 1991 Acta Mech. 87 197

    [24]

    Chambon G, Schmittbuhl J 2003 Phys. Rev. E 68 011304

    [25]

    O’Hern C S,Silbert L E, Liu A J,Nagel S R 2003 Phys. Rev. E 68 011306

    [26]

    Sun Q C, Wang G Q, Hu K H 2009 Prog. Nat. Sci. 19 523

    [27]

    Sun Q C, Jin F, Wang G Q, Zhang G H 2010 Acta Phys. Sin. 59 31 [孙其诚、金 峰、王光谦、张国华2010 物理学报 59 31]

    [28]

    Wang W J, Kong X Z, Zhu Z G 2007 Phys. Rev. E 75 041302

    [29]

    Andrade J S, Hermann H J, Andrade R F S, da Silva L R 2009 Phys. Rev. Lett. 102 079901

    [30]

    Arévalo E, Mertens F G 2007 Phys. Rev. E 76 046607

    [31]

    Tordesillas A, Walker D M, Lin Q 2010 Phys. Rev. E 81 011302

    [32]

    Ling X, Hu M B, Jiang R, Wu Q S 2010 Phys. Rev. E 81 016113

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出版历程
  • 收稿日期:  2010-06-09
  • 修回日期:  2010-06-21
  • 刊出日期:  2011-03-15

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