References
- Wu W., 1992, Hypoplastizität als mathematisches Modell zum mechanischen Verhalten granularer Stoffe, Heft 129, Institute for Soil- and Rock-Mechanics, University of Karlsruhe.
- de Borst R., Műhlhaus H.B., 1992, Gradient dependent plasticity: formulation and algorithmic aspects, Int. J. Numer. Methods Eng. 35, 521–539.
- Tejchman J., Wu W., 1993, Numerical study on shear band patterning in a Cosserat continuum, Acta Mech. 99, 61–74.
- Brinkgreve R., 1994, Geomaterial models and numerical analysis of softening, Dissertation, Delft University, 1–153.
- Tejchman J., Herle I., Wehr J., 1999, FE-studies on the influence of initial density, pressure level and mean grain diameter on shear localisation, Int. J. Numer. Anal. Methods Geomech 23(15), 2045–2074.
- Tejchman J., 2004, Influence of a characteristic length on shear zone formation in hypoplasticity with different enhancements, Comput. Geotech. 31(8), 595–611.
- Tejchman J., Wu W., 2009, Non-coaxiality and stress-dilatancy rule in granular materials: FE investigation within micro-polar hypoplasticity, Int. J. Numer. Anal. Methods Geomech 33(1), 117–142.
- Tejchman J., Górski J., 2010, FE study of patterns of shear zones in granular bodies during plane strain compression, Acta Geotechnica 5(2), 95–112.
- Regueiro R.A., Borja R.I., 2001, Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity, Int. J. Solids Struct. 38(21), 3647–3672.
- Bobinski J., Tejchman J., 2014, Simulations of shear zones and cracks in engineering materials using eXtended Finite Element Method, I. J. Num. Anal. Meth. Geom., 1–6.
- Oda M., Kazama H., 1998, Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils, Geotechnique 48, 465–481.
- Ord A., Hobbs B., Regenauer-Lieb K., 2007, Shear band emergence in granular materials- a numerical study, Int. J. Numer. Anal. Methods Geomech. 31, 373–393.
- Pena A.A., Garcia-Rojo R., Herrmann H.J., 2007, Influence of particle shape on sheared dense granular media, Granular Matter 3(4), 279–292.
- Bi Z., Sun Q., Jin F., Zhang M., 2011, Numerical study on energy transformation in granular matter under biaxial compression, Granular Matter 13, 503–510.
- Pardoen B., Collin F., 2017, Modelling the influence of strain localisation and viscosity on the behaviour of underground drifts drilled in claystone, Computers and Geotechnics 85,351–367.
- Conte E., Donato A., Troncone A., 2013, Progressive failure analysis of shallow foundations on soils with strain-softening behaviour, Computers and Geotechnics 54, 117–124.
- Kozicki J., Niedostatkiewicz M., Tejchman J., Mühlhaus H.-B., 2013, Discrete modelling results of a direct shear test for granular materials versus FE results, Granular Matter 15(5), 607–627.
- Zhang N., Evans T.M., 2018, Three dimensional discrete element method simulations of interface shear, Soils and Foundations 58(4), 941–956.
- Xue-Ying J., Wan-Huan Z., Yangmin L., 2017, Interface direct shearing behavior between soil and saw-tooth surfaces by DEM simulation, Procedia Engineering 175, 36–42.
- Cui L., O’Sullivan C., 2006, Exploring the macro- and micro-scale response of an idealised granular material in the direct shear apparatus, Géotechnique 56.
- Salazar A., Sáez E., Pardo G., 2015, Modeling the direct shear test of a coarse sand using the 3D Discrete Element Method with a rolling friction model, Computers and Geotechnics 67, 83–93.
- Bernhardt M. L., Biscontin G., O’Sullivan C., 2016, Experimental validation study of 3D direct simple shear DEM simulations, Soils and Foundations 56, 336–347.
- Rojek J., 2007, Discrete element modelling of rock cutting, Computer Methods in Materials Science 7(2), 224–230.
- Nitka M., Combe G., Dascalu C., Desrues J., 2011, Two-scale modeling of granular materials: a DEM-FEM approach, Granular Matter 13, 277–281.
- Utter B., Behringer R.P., 2004, Self-diffusion in dense granular shear flows, Phys. Rev. E. 69(3), 031308-1–031308-12.
- Abedi S., Rechenmacher A.L., Orlando A.D., 2012, Vortex formation and dissolution in sheared sands. Granular Matter 14, 695–705.
- Richefeu V., Combe G., Viggiani G., 2012, An experimental assessment of displacement fluctuations in a 2D granular material subjected to shear, Geotechnique Letters 2, 113–118.
- Radjai F., Roux S., 2002, Turbulent-like fluctuation in quasi-static flow of granular media. Phys. Rev. Lett. 89, 064302.
- Williams J.R., Rege N., 1997, Coherent vortex structures in deforming granular materials. Mechanics of Cohesive-frictional Materials 2, 223–236.
- Kuhn M.R., 1999 Structured deformation in granular materials, Mechanics of Materials 31, 407–442.
- Alonso-Marroquin F., Vardoulakis I., Herrmann H., Weatherley D., Mora P., 2006, Effect of rolling on dissipation in fault gouges, Physical Review E., 74 031306.
- Tordesillas A., Muthuswamy M., Walsh S.D.C., 2008, Mesoscale measures of nonaffine deformation in dense granular assemblies, Journal of Engineering Mechanics 134(12), 1095–1113.
- Liu X., Papon A., Mühlhaus H.B., 2012, Numerical study of structural evolution in shear band, Philosophical Magazine 92(28–30), 3501–3519.
- Peters J.F., Walizer L.E., 2013, Patterned nonaffine motion in granular media, Journal of Engineering Mechanics 139(10), 1479–1490.
- Ahuja R. K., Magnanti T. L., Orlin J. B., 1993, Network flows : theory, algorithms, and applications, Englewood Cliffs, N.J. Prentice Hall.
- Tordesillas, A., Kahagalage, S., Ras, C., Nitka, M., Tejchman, J., 2018, Interdependent evolution of robustness, force transmission and damage in a heterogeneous quasi-brittle granular material: from suppressed to cascading failure, arXiv preprint arXiv:1809.01491.
- Thornton C., Yin K. K., Adams M. J., 1996, Numerical simulation of the impact fracture and fragmentation of agglomerates, J. Phys., 29, 424–435.
- Herrmann H. J., Luding S., 1998, Modeling granular media on the computer, Continuum Mech. Therm. 4 (10), 189–231.
- Jiang M. J., Yu H.-S., Harris D., 2005, A novel discrete model for granular material incorporating rolling resistance, Computers and Geotechnics 32, 340–357.
- Kruyt N. P., Rothenburg L., 2006, Shear strength, dilatancy, energy and dissipation in quasi-static deformation of granular materials, JSTAT/2006/P07021.
- Zhu H. P., Zhou Z. Y., Yang R. Y., Yu A. B., 2007,Discrete particle simulation of particulate systems: Theoretical developments, Chem. Eng. Sci. 62, 3378–3396.
- Ketterhagen W. R., Amende M. T., Hancock B. C., 2008, Process modeling in the pharmaceutical industry using the discrete element method, Pharmaceutical Research and Development, DOI 10.1002/jps.21466.
- Nitka M., Tejchman J., Kozicki J., Leśniewska D., 2015, DEM analysis of micro-structural events within granular shear zones under passive earth pressure conditions, Granular Matter 3, 325–343.
- Cundall P. A., Hart R., 1992, Numerical modeling of discontinua, J. Eng. Comp. 9, 101–113.
- Danesh A., Asghar Mirghasemi A., Palassi M., 2020, Evaluation of particle shape on direct shear mechanical behavior of ballast assembly using discrete element method (DEM), Transportation Geotechnics 23.
- Szarf K., Combe G.,Villard P., 2009, Influence of the grains shape on the mechanical behavior of granular materials, AIP Conference Proceedings 1145(1), 357–360
- Zhao S., Zhao J., 2019, A poly-superellipsoid-based approach on particle morphology for DEM modeling of granular media, Int J Numer Anal Methods Geomech, 1–13.
- Kozicki J., Donze, F.V., 2008, A new open-source software developed for numerical simulations using discrete modelling methods, Computer Methods in Applied Mechanics and Engineering 197, 4429–4443.
- Šmilauer V., Chareyre B., 2011, Yade DEM Formulation, Manual.
- Zhao S., Evans T.M., Zhou X., 2018, Effects of curvature-related DEM contact model on the macro- and micro-mechanical behaviours of granular soils, Géotechnique 68 (12), 1085–1098.
- Zhao S., Evans T.M., Zhou X., 2018, Shear-induced anisotropy of granular materials with rolling resistance and particle shape effects, International Journal of Solids and Structures 150 (1), 268–281.
- Zhao, S., Evans, T. M., Zhou, X., 2018b., Three-dimensional voronoi analysis of monodisperse ellipsoids during triaxial shear, Powder Technology 323, 323–336.
- Cundall P.A., Strack, O.D.L., 1979, A discrete numerical model for granular assemblies, Geotechnique 29, 47–65.
- Widuliński L, Kozicki J, Tejchman J., 2009, Numerical simulations of triaxial test with sand using DEM, Archives of Hydro-Engineering and Environmental Mechanics 56, 3–26.
- Skarżyński Ł., Kozicki J., Tejchman J., 2013, Application of DIC technique to concrete - study on objectivity of measured surface displacements, Experimental Mechanics, 53(9), 1545–1559.
- Leśniewska D., Nitka M., Tejchman J., Pietrzak M., 2020, Contact force network evolution in active earth pressure state of granular materials: photo-elastic tests and DEM, Granular Matter, 22–71.