A characteristic length scale in confined elastic buckling of a force chain

Granular Matter

Volumn 13, Issue 3, 2011, Pages 215-218

  Tordesillas, Antoinette ^a   Hunt, Giles ^b   Shi, Jingyu ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b University of Bath   (United Kingdom)

Author keywords

Bifurcation; Buckling; Instability; Localization; Periodicity

Indexed keywords

BUCKLING MODE; CHARACTERISTIC LENGTH; ELASTIC BUCKLING; FINITE NUMBER; FORCE CHAINS; LOAD CARRYING CAPACITIES; LOCALIZATION; LOCALIZED BUCKLING; MATERIAL PARAMETER; MATERIAL PROPERTY; PARTICLE DIAMETERS; PERIODICITY; POSTBUCKLING ANALYSIS;

PARTICLES (PARTICULATE MATTER); ROTATION; SHEAR BANDS;

BUCKLING;

EID: 79958162161     PISSN: 14345021     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10035-011-0252-9     Document Type: Article

References (16)

1. T.S. Majmudar R.P. Behringer 2005 Contact force measurements and stress-induced anisotropy in granular materials Nature 435 1079 1082 2005Natur.435.1079M 10.1038/nature03805 (Pubitemid 40916230)
2. Dietrich, T.: PhD Thesis, Universitt Karlsruhe (1976)
3. A. Tordesillas M. Muthuswamy 2009 On the modeling of confined buckling of force chains J. Mech. Phys. Solids 57 706 727 2510283 2009JMPSo..57..706T 05600199 10.1016/j.jmps.2009.01.005
4. G.W. Hunt A. Tordesillas S.C. Green J. Shi 2010 Force-chain buckling in granular media: a structural mechanics perspective Phil. Trans. R. Soc. A 368 249 262 2009RSPTA.368..249H 1192.74125 10.1098/rsta.2009.0180
5. H.B. Muhlhaus I. Vardoulakis 1987 The thickness of shear bands in granular material Geotechnique 37 271 283 10.1680/geot.1987.37.3.271
6. M. Oda H. Kazama 1998 Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils Geotechnique 48 465 481 10.1680/geot.1998.48.4.465
7. M. Oda T. Takemura M. Takahashi 2004 Microstructure in shear band observed by microfocus X-ray computed tomography Geotechnique 54 539 542 10.1680/geot.2004.54.8.539 (Pubitemid 39464425)
8. A. Tordesillas 2007 Force chain buckling, unjamming transitions and shear banding in dense granular assemblies Phil. Mag. 87 4987 5016 2007PMag...87.4987T 10.1080/14786430701594848 (Pubitemid 47552024)
9. A. Tordesillas J. Zhang R.P. Behringer 2009 Buckling force chains in dense granular assemblies: physical and numerical experiments Geomech. Geoeng. 4 3 16 10.1080/17486020902767347
10. A. Tordesillas J. Shi T. Tshaikiwsky 2011 Stress-dilatancy and force chain evolution Int. J. Numer. Anal. Meth. Geomech. 35 264 292 05866141 10.1002/nag.910
11. J. Desrues G. Viggiani 2004 Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry Int. J. Numer. Anal. Meth. Geomech. 28 279 321 10.1002/nag.338 (Pubitemid 38531152)
12. A.L. Rechenmacher 2006 Grain-scale processes governing shear band initiation and evolution in sands J. Mech. Phys. Solids 54 22 45 2006JMPSo..54...22R 1120.74631 10.1016/j.jmps.2005.08.009 (Pubitemid 41654909)
13. L. Rothenburg N.P. Kruyt 2004 Critical state and evolution of coordination number in simulated granular materials Int. J. Solids Struct. 41 5763 5774 1112.74368 10.1016/j.ijsolstr.2004.06.001
14. C. Thornton L. Zhang 2006 A numerical examination of shear banding and simple shear non-coaxial flow rules Phil. Mag. 86 3425 3452 2006PMag...86.3425T 10.1080/14786430500197868 (Pubitemid 43862415)
15. Thompson J.M.T., Hunt G.W.: A general theory of elastic stability. Wiley, London (1973)
16. Doedel, E.J., Champneys, A.R., Fairgrieve, T.F., Yu, A., Kuznetsov, A., Sandstede, B., Wang, X.: Auto97: Continuation and bifurcation software for ordinary differential equations (with homcont). Technical Report, Concordia University (1997)