Force-chain buckling in granular media: a structural mechanics perspective

被引:43
作者
Hunt, Giles W. [1 ]
Tordesillas, Antoinette [2 ]
Green, Steven C. [1 ]
Shi, Jingyu [2 ]
机构
[1] Univ Bath, Ctr Nonlinear Mech, Bath BA2 7AY, Avon, England
[2] Univ Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia
来源
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2010年 / 368卷 / 1910期
基金
澳大利亚研究理事会;
关键词
bifurcation; localization; shear band formation; instability; buckling;
D O I
10.1098/rsta.2009.0180
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Parallels are drawn between the response of a discrete strut on a linear elastic foundation and force-chain buckling in a constrained granular medium. Both systems buckle initially into periodic shapes, with wavelengths that depend on relative resistances to lateral displacement, and curvature in the buckled shape. Under increasing end shortening, the classical structural model evolves to a localized form extending over a finite number of contributing links. By analogy, it is conjectured that the granular model of force-chain buckling might follow much the same evolutionary route into a shear band.
引用
收藏
页码:249 / 262
页数:14
相关论文
共 18 条
  • [1] A nonlinear model for parallel folding with friction
    Budd, CJ
    Edmunds, R
    Hunt, GW
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2003, 459 (2036): : 2097 - 2119
  • [2] Asymptotics of cellular buckling close to the Maxwell load
    Budd, CJ
    Hunt, GW
    Kuske, R
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2016): : 2935 - 2964
  • [3] Homoclinic snaking: Structure and stability
    Burke, John
    Knobloch, Edgar
    [J]. CHAOS, 2007, 17 (03)
  • [4] Localized pattern formation with a large-scale mode: Slanted snaking
    Dawes, J. H. P.
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2008, 7 (01): : 186 - 206
  • [5] Doedel E. J., 1997, AUTO97
  • [6] Buckling in space and time
    Hunt, G
    [J]. NONLINEAR DYNAMICS, 2006, 43 (1-2) : 29 - 46
  • [7] Hunt G.W., 1986, CIV ENG SYST, V3, P100, DOI 10.1080/02630258608970432
  • [8] Hunt G.W., 1986, APPL MECH REV, V39, P1165
  • [9] Hunt GW, 1997, INT J NUMER METH ENG, V40, P2237, DOI 10.1002/(SICI)1097-0207(19970630)40:12<2237::AID-NME164>3.0.CO
  • [10] 2-X