Micro-deformation mechanism of shear banding process based on modified distinct element method

H.G.B. Allersma, Photo-elastic stress analysis and strain in simple shear, in: P.A. Vermeer, H.J. Luger (Eds.), IUTAM Conference on Deformation and Failure of Granular Materials, Balkema, Rotterdam, 1982, pp. 345–353. Bardet, 1994, Observations on the effects of particle rotations on the failure of idealized granular materials, Mechanics of Materials, 18, 159, 10.1016/0167-6636(94)00006-9 Bardet, 1991, A numerical investigation of the structure of persistent shear bands in granular media, Géotechnique, 41, 599, 10.1680/geot.1991.41.4.599 Bardet, 1992, Shear-band analysis in idealized granular material, Journal of Engineering Mechanics, ASCE, 118, 397, 10.1061/(ASCE)0733-9399(1992)118:2(397) J.P. Bardet, Q. Huang, Rotational stiffness of cylindrical particle contacts, in: C. Thornton (Ed.), Proc. Second Int. Conf. on Micromechanics of Granular Media, Birmingham, Balkema, Rotterdam, Netherlands, 1993, pp. 39–43. Bathurst, 1990, Observations on stress-force-fabric relationships in idealized granular materials, Mechanics of Materials, 9, 65, 10.1016/0167-6636(90)90030-J Calvetti, 1997, Experimental micromechanical analysis of a 2D granular material: relation between structure evolution and loading path, Mechanics of Cohesive-Frictional Materials, 2, 121, 10.1002/(SICI)1099-1484(199704)2:2<121::AID-CFM27>3.0.CO;2-2 P.A. Cundall, A computer model for simulating progressive, large scale movement in blocky rock systems, Proc. Symp. Int. Soc. Rock Mech., Nancy, France, Vol. 2, No. 8, 1971. Cundall, 1979, A discrete numerical model for granular assemblies, Géotechnique, 29, 47, 10.1680/geot.1979.29.1.47 Desrues, 1996, Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography, Géotechnique, 46, 529, 10.1680/geot.1996.46.3.529 Drescher, 1976, An experimental investigation of flow rule for granular materials, Géotechnique, 26, 591, 10.1680/geot.1976.26.4.591 Finno, 1996, Strain localization and undrained steady state of sand, Journal of Geotechnical Engineering, ASCE, 122, 462, 10.1061/(ASCE)0733-9410(1996)122:6(462) Iwashita, 1995, Distinct element method with the effect of moment transfer at the contact points, Journal Geotechnical Engineering, Tokyo, Japan, 529, 145 Iwashita, 1998, Rolling resistance at contacts in the simulation of shear band development by DEM, Journal of Engineering Mechanics, ASCE, 124, 285, 10.1061/(ASCE)0733-9399(1998)124:3(285) Iwashita, 1998, Shear band development in modified DEM: Importance of couple stress, Scientific Bulletin of Academic Computer Center in Gdansk, 2, 443 Ke, 1995, Modeling of particulate media using discontinuous deformation analysis, Journal of Engineering Mechanics, ASCE, 121, 1234, 10.1061/(ASCE)0733-9399(1995)121:11(1234) T.W. Lambe, R.V. Whitman, Soil Mechanics, SI Version, Wiley, 1969. Matsuoka, 1974, Stress–strain relationship of sands based on the mobilized plane, Soils and Foundations, 14, 47, 10.3208/sandf1972.14.2_47 Mühlhaus, 1987, The thickness of shear bands in granular materials, Géotechnique, 37, 271, 10.1680/geot.1987.37.3.271 Nemat-Nasser, 1980, On behavior of granular materials in simple shear, Soils and Foundations, 20, 59, 10.3208/sandf1972.20.3_59 Newland, 1957, Volume changes in drained triaxial tests on granular materials, Géotechnique, 7, 17, 10.1680/geot.1957.7.1.17 Oda, 1972, Deformation mechanism of sand in triaxial compression tests, Soils and Foundations, 12, 45, 10.3208/sandf1972.12.4_45 M. Oda, Micro-fabric and couple stress in shear bands of granular materials, in: C. Thornton (Ed.), Proc. Second Int. Conf. on Micromechanics of Granular Media, Birmingham, Balkema, Rotterdam, Netherlands, 1993, pp. 161–166. M. Oda, A micro-deformation model for dilatancy of granular materials, in: C.S. Chang et al. (Eds.), Symposium on Mechanics of Particulate Materials in McNu Conference, ASCE, 1997, pp. 24–37. M. Oda, K. Iwashita, Couple stress developed in shear bands (1); Particle rotation and couple stress in granular media, Engineering Mechanics, Proceedings of the 12th Engineering Mechanics Conference, 1998, pp. 1283–1286. Oda, 1998, Micro-structure of shear band and its relation to the mechanism of dilatancy and failure of granular soils, Géotechnique, 48, 465, 10.1680/geot.1998.48.4.465 Oda, 1974, Microscopic deformation mechanism of granular material in simple shear, Soils and Foundations, 14, 25, 10.3208/sandf1972.14.4_25 Oda, 1982, Experimental micro-mechanical evaluation of strength of granular materials: effect of particle rolling, Mechanics of Materials, 1, 267, 10.1016/0167-6636(82)90027-8 Rowe, 1962, The stress-dilatancy relation for static equilibrium of an assembly of particles in contact, Proc. R. Soc. London A, 269, 500, 10.1098/rspa.1962.0193 Sakaguchi, 1993, Plugging of the flow of granular materials during the discharge from a silo, International Journal of Modern Physics B, 7, 1949, 10.1142/S0217979293002705 H. Sakaguchi, Pattern Formation in Granular Media, PhD Thesis, Kyoto University, 1995. G. Scarpelli, D.M. Wood, Experimental observations of shear band patterns in direct shear tests, in: P.A. Vermeer, H.J. Luger (Eds.), Proc IUTAM Symp. Deformation and Failure of Granular Material, Delft, Balkema, Rotterdam, Netherlands, 1982, pp. 473–484. Tatsuoka, 1990, Strength anisotropy and shear band direction in plane strain tests of sand, Soils and Foundations, 30, 35, 10.3208/sandf1972.30.35 A.P. Thomas, J.D. Bray, T.C. Ke, Discontinuous deformation analysis for soil mechanics, First International Forum on Discontinuous Deformation Analysis, Berkeley, USA, 1996. C. Thornton, J. Lanier, Uniaxial compression of granular media: Numerical simulations and physical experiment, in: R.P. Behringer, J. Jenkins (Eds.), Powder and Grains 97, Balkema, Rotterdam, Netherlands, 1997, pp. 223–226. C. Thornton, C.W. Randall, Application of theoretical contact mechanics to solid particle system simulations, in: M. Satake, J.T. Jenkins (Eds.), Micromechanics of Granular Materials, Balkema, Rotterdam, Netherlands, 1988, pp. 254–252. Vermeer, 1990, The orientation of shear bands in biaxial tests, Géotechnique, 40, 223, 10.1680/geot.1990.40.2.223 T. Wakabayashi, Photoelastic method for determination of stress in powdered mass, Proc. Seventh Japan Nat. Congr. Appl. Mech., Tokyo, Japan, 1957, pp. 153–158. T. Yoshida, F. Tatsuoka, M.S.A. Siddiquee, Y. Kamegai, C.-S. Park, Shear banding in sands observed in plane strain compression, in: R. Chambonu, J. Desrues, I. Vardoulakis (Eds.), Symp. Localization and Bifurcation Theory for Soils and Rocks, Balkema, Rotterdam, Netherlands, 1994, pp. 165–179.