Critical length of force chains and shear band thickness in dense granular materials
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Aharonov E, Sparks DW (2002) Shear profiles in granular layers. Phys Rev E65 051302:1–12
Alonso-Marroquin F, Vardoulakis I (2005) Micromechanics of shear bands in granular media. In: Garcia-Rojo R, Herrmann HJ, MacNamara S (eds), Powders and grains 2005, pp 701–704
Alshibli KA, Hasan A (2008) Spatial variation of void ratio and shear band thickness in sand using X-ray computed tomography. Géotechnique 58(4):249–257
Bardet JP, Huang Q (1993) Rotational stiffness of cylindrical particle contacts. Proceeding on 2nd International Conference on Micromechanics of Granular Media, pp 39–43
Bardet JP, Proubet J (1992) The structure of shear bands in idealized granular materials. Appl Mech Rev 3(2):118–122
Bardet JP, Shiv A (1995) Plane-strain instability of saturated porous material. J Eng Mech 121(6):717–724
Bauer E, Huang W, Wu W (2004) Investigations of shear banding in an anisotropic hypoplastic material. Int J Solids Struct 41:5903–5919
Bazant Z, Lin F, Pijaudier-Cabot G (1987) Yield limit degradation: non-local continuum model with local strain. Proceeding of International Conference on Computational Plasticity, Barcelona, pp 1757–1780
Behringer RP, Daniels KE, Majmudar TS, Sperl M (2008) Fluctuations, correlations and transitions in granular materials: statistical mechanics for a non-conventional system. Philos Trans R Soc A 366:493–504
Cates ME, Wittmer JP, Bouchaud J-P, Claudin P (1999) Jamming and static stress transmission in granular materials. Chaos 9(3):511–522
Chambon R, Crochepeyre S, Desrues J (2000) Localization criteria for non linear constitutive equations of geomaterials. Mech Cohes-Frict Mater 5:561–582
Cho G-C, Dodds J, Santamarina JC (2006) Particle shape effects on packing density, stiffness, and strength: Natural and crushed sands. J Geotech Geoenviron Eng 132(5):591–602
Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Géotechnique 29:47–65
de Borst R (1991) Simulation of strain localization: a reappraisal of the Cosserat continuum. Eng Comput 8:317–332
de Borst R, Mühlhaus H-B (1992) Gradient dependent plasticity: formulation and algorithmic aspects. Int J Numer Methods Eng 35:521–539
Desrues J, Chambon R (1989) Shear band analysis for granular materials—the question of incremental non-linearity. Ingenieur Arch 59:187–196
Desrues J, Viggiani G (2004) Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. Int J Numer Anal Methods Geomech 28:279–321
Finno R, Harris W, Mooney M, Viggiani G (1997) Shear bands in plane strain compression of loose sand. Géotechnique 47(1):149–165
Guo P, Su X (2007) Effect of dilatancy on instability, pre-instability strain softening of sand along proportional strain paths. Soils Found 47(4):757–770
Hamadi K, Razavi AM-F, Darve F (2008) Bifurcation and instability modelling by a multimechanism elasto-plastic model. Int J Numer Anal Methods Geomech 32:461–492
Harr ME (1977) Mechanics of Particulate Media: a Probabilistic approach. McGraw-Hill, New York
Howell D, Behringer RP, Veje C (1999) Stress fluctuations in a 2D granular Couette experiment: a continuous transition. Phys Rev Lett 82:5241–5244
Huang W, Nübel K, Bauer E (2002) A polar extension of hypoplastic model for granular material with shear localization. Mech Mater 34:563–576
Hunt GW, Tordesillas A, Green SC, Shi J (2010) Force-chain buckling in granular media: a structural mechanics perspective. Philos Trans R Soc A 368:249–262
Imposimato S, Nova R (1998) An investigation on the uniqueness of the incremental response of elastoplastic models for virgin sand. Mech Cohes-Frict Mater 3:65–87
Itasca (2006) PFC2D Manual. Itasca Consulting Group Inc, Minneapolis
Iwashita K, Oda M (1998) Rolling resistance at contacts in the simulation of shear band development by DEM. J Eng Mech 124(3):285–292
Kuhl E, Ramm E (2000) Simulation of strain localization with gradient enhanced damage models. Comp Mater Sci 16:176–185
Loret B, Prevost JH (1990) Dynamic strain localisation in elasto-viscoplastic solids, Part 1. General formulation and 1D examples. Comp Appl Mech Eng 83:247–273
Marcher T, Vermeer PA (2001) Macromodelling of softening in non-cohesive soils. In: Vermeer PA, Diebels S, Ehlers W, Herrmann HJ, Luding S, Ramm E (eds) Continuous and discontinuous modelling of cohesive frictional materials. Lecture series in physics, vol 568, Springer, Berlin, pp 89–110
Mahmood Z, Iwashita K (2010) A simulation study of microstructure evolution inside the shear band in biaxial compression test. Int J Numer Anal Methods Geomech. Published online in Wiley InterScience ( www.interscience.wiley.com ). doi: 10.1002/nag.917
Majmudar TS, Behringer RP (2005) Contact force measurements and stress induced anisotropy in granular materials. Nature 435(23):1079–1082
Masson S, Martinez J (2001) Micromechanical analysis of the shear behaviour of a granular material. J Eng Mech 127(10):1007–1016
Mitchell JK, Soga K (2005) Fundamentals of soil behaviour, 3rd edn. Wiley, New Jersey
Mokni M, Desrues J (1999) Strain localisation measurements in undrained plane-strain biaxial tests on Hostun RF sand. Mech Cohes-Frict Mater 4(4):419–441
Muhlhaus HB, Vardoulakis I (1987) The thickness of shear bands in granular materials. Géotechnique 37(3):271–283
Muthuswamy M, Peters J, Tordesillas A (2006) Uncovering the secretes to relieving stress: discrete element analysis of force chains in particular media. ANZIAM J 47:C355–C372
Ni Q, Powrie W, Zhang X, Harkness R (2000) Effect of particle properties on soil behaviour: 3-D numerical modelling of shear box tests. ASCE Geotech Special Publ 96:58–70
Oda M (1993) Micro-fabric and couple stress in shear bands of granular materials. In: Thornton C (ed) Powders and grains. Proceedings of Second International Conference on Micromechanics of Granular Media, Birmingham, Balkema, Rotterdam, Netherlands, pp 161–166
Oda M, Kazama H (1998) Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils. Géotechnique 48(4):465–481
Oda M, Iwashita K (2000) Micro-deformation mechanism of shear banding process based on modified distinct element method. Powder Technol 109:192–205
Oda M, Kazama H, Konish J (1998) Effects of induced anisotropy on the development of shear bands in granular materials. Mech Mater 28(1–4):103–111
Oda M, Iwashita K (2000) Study on couple stress and shear band development in granular media based on numerical simulation analyses. Int J Eng Sci 38(15):1713–1740
Peters JF, Muthuswamy M, Wibowo J, Tordesillas A (2005) Characterization of force chains in granular material. Phys Rev E 72:0413071–0413078
Pradhan TBS (1997) Characteristics of shear band in plane strain compression tests of sands. In: Asaoka A, Adachi T, Oka F (eds), Deformation and progressive failure in geomechanics. Proceedings of IS-NAGOYA’97, Pergamon, pp 241–246
Radjai F, Wolf DE, Jean M, Moreau JJ (1998) Bimodal character of stress transmission in granular packings. Phys Rev Lett 80(1):61–64
Radjai F (2008). Particle-scale origins of shear strength in granular media. arXiv:0801.4722v1 [cond-mat.soft]
Rice JR (1975) On the stability of dilatant hardening of saturated rock mass. J Geophys Res 80:1531–1536
Rudnicki JW (2000) Diffusive instabilities in dilating and compacting geomaterials. In: Chuang T-J, Rudnicki JW (eds) Multiscale deformation and fracture in materials and structures. Kluwer, The Netherlands, pp 159–182
Rudnicki JW, Rice JR (1975) Conditions for the localization of deformation in pressure sensitive dilatant materials. J Mech Phys Solids 23:371–394
Sadrekarimi A, Olson SM (2010) Shear band formation observed in ring shear tests on sandy soils. J Geotech Geoenviron Eng 136(2):366–375
Satake M (1998) Finite difference approach to the shear band formation from the viewpoint of particle column buckling. In: Proceedings of 13th Southeast Asian Geotechical Conference, pp 815–818
Tejchman J (2004) Influence of a characteristic length on shear zone thickness in hypoplasticity with different enhancements. Comput Geotech 31(8):595–611
Tejchman J, Niemunis A (2006) FE-studies on shear localization in an anisotropic micro-polar hypoplastic granular material. Granular Matter 8:205–220
Tejchman J, Bauer E, Wu W (2007) Effect of fabric anisotropy on shear localization in sand during plane strain compression. Acta Mech 189:23–51
Tejchman J, Wu W (1993) Numerical study on shear band patterning in a Cosserat continuum. Acta Mech 99:61–74
Tordesillas A, Hunt A, Shi J (2011) A characteristic length scale in confined elastic buckling of a force chain. Granular Matter 13:215–218
Tordesillas A, Lin Q, Zhang J, Behringer RP, Shi J (2011) Structural stability and jamming of self-organized cluster conformations in dense granular materials. J Mech Phys Solids 59:265–296
Tordesillas A, Muthuswamy M (2009) On the modeling of confined buckling of force chains. J Mech Phys Solids 57(4):706–727
Tordesillas A, Muthuswamy M, Walsh SDC (2008) Mesoscale measures of nonaffine deformation in dense granular assemblies. J Eng Mech 134(12):1095–1113
Tordesillas A, Zhang J, Behringer R (2009) Buckling force chains in dense granular assemblies: physical and numerical experiments. Geomech Geoeng 4(1):3–16
Vardoulakis I, Georgopoulos IO (2005) The “stress-dilatancy” hypothesis revisited: shear-banding related instabilities. Soils Found 45(2):61–76
Vardoulakis I, Graf B (1985) Calibration of constitutive models for granular materials using data from biaxial experiments. Géotechnique 35(3):299–317
Vardoulakis I, Sulem J (1995) Bifurcation analysis in geomechanics. Chapman & Hall, London
Viggiani G, Kuntz M, Desrues J (2001) An experimental investigation of the relationships between grain size distribution and shear banding in sand. In: Vermeer PA, Diebels S, Ehlers W, Hermann HJ, Luding S, Ramm E (eds) Continuous and discontinuous modeling of cohesive-frictional materials. Lecture Notes in Physics vol 568. Springer, New York, pp 111–127
Wan RG, Guo P, Al-Mamun M (2005) Behaviour of granular materials in relation to their fabric dependence. Soils Found 45(2):77–86
Yoshida T, Tatsuoka F, Siddiquee MSA, Kamegai Y, Park C-S (1994) Shear banding in sands observed in plane strain compression. In: Chambon R, Desrues J, Vardouylakis I (eds) Localization and bifurcation theory for soils and rocks. A.A. Balkema, Rotterdam, pp 165–179
Zhang HW, Schrefler BA (2000) Gradient dependent plasticity model and dynamic strain localisation analysis of saturated and partially saturated porous media: 1D model. Eur J Mech A/Solids 19:503–524
Zhang L, Thornton C (2007) A numerical examination of the direct shear test. Géotechnique 57(4):343–354
Zbib HM, Aifantis EC (1988) On the localization and post localisation behaviour of plastic deformation. Res Mechanica Int J Strut Mech Mater Sci 23:261–277