, The Flow of Cohesionless Grains in Fluids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.249, issue.964, pp.235-297, 1956.
DOI : 10.1098/rsta.1956.0020
, An Empirical Correlation of Bedload Transport Rates in Flumes and Natural Rivers, Proc. R. Soc. Lond. A, pp.453-473, 1751.
DOI : 10.1098/rspa.1980.0122
, Experimental Parametric Study of Suffusion and Backward Erosion, Journal of Geotechnical and Geoenvironmental Engineering, vol.134, issue.1, pp.57-67, 2008.
DOI : 10.1061/(ASCE)1090-0241(2008)134:1(57)
URL : https://hal.archives-ouvertes.fr/hal-01006849
, A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems, Physical Review, vol.94, issue.3, pp.511-525, 1954.
DOI : 10.1103/PhysRev.94.511
, Bifurcation and instability of non-associative elastopastic solids, Material instabilities in elastic and plastic solids, pp.1-52, 2000.
, Uniqueness and localization???I. Associative and non-associative elastoplasticity, International Journal of Solids and Structures, vol.28, issue.2, pp.197-213, 1991.
DOI : 10.1016/0020-7683(91)90205-T
, Weitere studien über das wärmegleichgewicht unter gas-molekülen, Wissenschaftliche Abhandlungen, vol.1, pp.316-402, 1872.
, Erosion in Geomechanics Applied to Dams and Levees, 2012.
DOI : 10.1002/9781118577165
, Micromechanical modeling of internal erosion, European Journal of Environmental and Civil Engineering, vol.107, issue.11, pp.1207-1224, 2011.
DOI : 10.1016/S0167-1987(01)00207-0
, Erosion Function Apparatus for Scour Rate Predictions, Journal of Geotechnical and Geoenvironmental Engineering, vol.127, issue.2, pp.105-113, 2001.
DOI : 10.1061/(ASCE)1090-0241(2001)127:2(105)
, Existence and uniqueness theorems for boundary value problems involving incrementally non-linear models, Int. J. Solids Structures, pp.5089-5099, 1999.
, An elasto-plastic model for granular materials with microstructural consideration, International Journal of Solids and Structures, vol.42, issue.14, pp.4258-4277, 2005.
DOI : 10.1016/j.ijsolstr.2004.09.021
, A stress-controlled erosion apparatus for studying internal erosion in soils, Geotechnical Testing Journal, vol.34, issue.6, pp.1-11, 2011.
, TheMathematical Theory of Non-uniform Gases : An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases, 1991.
, Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method, Physical Review A, vol.45, issue.8, pp.5339-5342, 1992.
DOI : 10.1103/PhysRevA.45.R5339
, Lattice Boltzmann simulation of the flow of binary immiscible fluids with different viscosities using the Shan-Chen microscopic interaction model, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.360, issue.1792, pp.547-558, 1792.
DOI : 10.1098/rsta.2001.0953
, A computer model for simulating progressive large scale movements of blocky rock systems, Proceedings of the symposium of the international society of rock mechanics, pp.132-150, 1971.
, A discrete numerical model for granular assemblies, G??otechnique, vol.29, issue.1, pp.47-65, 1979.
DOI : 10.1680/geot.1979.29.1.47
, Rheophysics of dense granular materials: Discrete simulation of plane shear flows, Physical Review E, vol.72, issue.2, p.21309, 2005.
DOI : 10.1103/PhysRevE.72.021309
, Contribution à l'étude mécanique et géométrique des milieux pulvérulents, Proc. 4th Int. Conf. Soils Mech. Found, pp.144-148, 1957.
, Diffuse failure in geomaterials: Experiments, theory and modelling, International Journal for Numerical and Analytical Methods in Geomechanics, vol.33, issue.2, pp.35-1731, 2011.
DOI : 10.1002/nag.975
URL : https://hal.archives-ouvertes.fr/ineris-00963272
, Geomaterials Constitutive Equations and Modelling, Chapter Incrementally nonlinear relationships, pp.213-238, 1990.
, Failure in geomaterials: continuous and discrete analyses, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.27-29, pp.27-29, 2004.
DOI : 10.1016/j.cma.2003.11.011
URL : https://hal.archives-ouvertes.fr/ineris-00962876
, Bifurcations in granular media : macro-and micromechanics approaches, Comptes Rendus Mécanique, vol.335, pp.9-10, 2007.
, Stability problems related to static liquefaction of loose sand. Localisation and Bifurcation Theory for Soils and Rocks Chambon, Balkema, pp.59-70, 1994.
, Kinetische theorie der vorgänge in mässig verdünnten gasen, pp.Upp- sala, 1917.
, Internal erosion of dams and their foundations, 2007.
, Evaluating overland flow sediment transport capacity, Hydrological Processes, vol.99, issue.12, pp.1895-1910, 1998.
DOI : 10.1002/(SICI)1099-1085(19981015)12:12<1895::AID-HYP671>3.0.CO;2-6
, Lattice gas hydrodynamics in two and three dimensions, Complex Systems, vol.1, pp.649-707, 1987.
, Physics of dry granular media, Chapter Continuum modeling of granular assemblies, 1998.
, Evaluation of transporting capacity formulae for overland flow, Overland flow, pp.243-273, 1992.
, Improvement of Hole Erosion Test and Results on Reference Soils, Journal of Geotechnical and Geoenvironmental Engineering, vol.139, issue.2, pp.330-339, 2013.
DOI : 10.1061/(ASCE)GT.1943-5606.0000747
, Time evolution of a two???dimensional model system. I. Invariant states and time correlation functions, Journal of Mathematical Physics, vol.14, issue.12, p.1746, 1973.
DOI : 10.1063/1.1666248
, Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions, Physical Review A, vol.13, issue.5, pp.1949-1961, 1976.
DOI : 10.1103/PhysRevA.13.1949
, A general theory of uniqueness and stability in elastic-plastic solids, Journal of the Mechanics and Physics of Solids, vol.6, issue.3, pp.239-249, 1958.
DOI : 10.1016/0022-5096(58)90029-2
, Structure of constitutive equations in plasticity for different choices of state and control variables, International Journal of Plasticity, vol.8, issue.3, pp.221-243, 1992.
DOI : 10.1016/0749-6419(92)90049-I
, Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation, Journal of Fluid Mechanics, vol.21, issue.1, p.285, 1994.
DOI : 10.1063/1.454658
, Instability and Static Liquefaction on Proportional Strain Paths for Sand at Low Stresses, Journal of Engineering Mechanics, vol.130, issue.11, pp.1365-1372, 2004.
DOI : 10.1061/(ASCE)0733-9399(2004)130:11(1365)
URL : https://hal.archives-ouvertes.fr/hal-00138168
, Modeling of fluid-solid interaction in granular media with coupled lattice Boltzmann/discrete element methods: application to piping erosion, International Journal for Numerical and Analytical Methods in Geomechanics, vol.1, issue.1, pp.577-596, 2013.
DOI : 10.1002/nag.1109
, A treatise on the mathematical theory of elasticity, 1927.
URL : https://hal.archives-ouvertes.fr/hal-01307751
, Effect of sediment density on bed-load transport, Journal of Hydraulic Engineering, vol.115, pp.124-138, 1989.
, Internal flow effects on isotropic confined sand-clay mixtures. Soil & sediment contamination 18, pp.294-306, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00379217
, Study of scale effect in an internal erosion mechanism: centrifuge model and energy analysis, European Journal of Environmental and Civil Engineering, vol.134, issue.3, pp.1-19, 2012.
DOI : 10.1520/GTJ11129J
URL : https://hal.archives-ouvertes.fr/hal-00850888
, Use of the Boltzmann Equation to Simulate Lattice-Gas Automata, Physical Review Letters, vol.61, issue.20, pp.2332-2335, 1988.
DOI : 10.1103/PhysRevLett.61.2332
, A large permeameter for study of internal stability in cohesionless soils, Geotechnical Testing Journal, vol.29, issue.4, pp.273-279, 2006.
, Localized fluidization in granular materials: Theoretical and numerical study, Physical Review E, vol.94, issue.5, 2016.
DOI : 10.1103/PhysRevE.94.052905
, Numerical investigation of shear zones in granular materials, Friction, Arching, pp.223-247, 1997.
, Discrete element modelling of soil erosion, Proc. 4th Int. Conf. on Scour and Erosion, pp.491-496, 2008.
, Diffuse and localized failure modes: Two competing mechanisms, International Journal for Numerical and Analytical Methods in Geomechanics, vol.57, issue.4, pp.586-601, 2011.
DOI : 10.1002/nag.912
, Bifurcation and second-order work in geomaterials, International Journal for Numerical and Analytical Methods in Geomechanics, vol.43, issue.8, pp.1007-1032, 2007.
DOI : 10.1002/nag.573
, Failure in rate-independent granular materials as a bifurcation toward a dynamic regime, International Journal of Plasticity, vol.29, pp.136-154, 2012.
DOI : 10.1016/j.ijplas.2011.08.002
, CONTROLLABILITY OF THE INCREMENTAL RESPONSE OF SOIL SPECIMENS SUBJECTED TO ARBITRARY LOADING PROGRAMMES, Journal of the Mechanical Behavior of Materials, vol.5, issue.2, pp.193-201, 1994.
DOI : 10.1515/JMBM.1994.5.2.193
, Instability and ill-posedness in the deformation of plastic solids : some correlations through simple examples, Trends in Applications of Mathematics to Mechanics, pp.361-370, 2005.
, Sand erosion with a porosity diffusion law, Computers and Geotechnics, vol.32, issue.1, pp.47-58, 2005.
DOI : 10.1016/j.compgeo.2004.11.005
, Volumetric sand production model and experiment, International Journal for Numerical and Analytical Methods in Geomechanics, vol.4, issue.3/4, pp.789-808, 2001.
DOI : 10.1002/nag.154
, Erosion of Soft Cohesive Sediment Deposits, Journal of Hydraulic Engineering, vol.111, issue.10, pp.1308-1326, 1985.
DOI : 10.1061/(ASCE)0733-9429(1985)111:10(1308)
, Erosion and deposition of cohesive soils, Journal of the Hydraulics Division, vol.91, issue.1, pp.105-139, 1965.
, Finite element analysis of diffuse instability using an implicitly integrated pressure-density dependent elastoplastic model. Finite elements in analysis and design 46, pp.487-495, 2010.
, Designing geotechnical structures with a proper stability criterion as a safety factor, Computers and Geotechnics, vol.71, pp.98-114, 2016.
DOI : 10.1016/j.compgeo.2015.09.007
URL : https://hal.archives-ouvertes.fr/hal-01459716
, Lattice BGK Models for Navier-Stokes Equation, Europhysics Letters (EPL), vol.17, issue.6, pp.479-484, 1992.
DOI : 10.1209/0295-5075/17/6/001
, Contact forces in a granular packing, Chaos, vol.9, issue.3, pp.544-550, 1999.
, Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strain, Journal of the Mechanics and Physics of Solids, vol.29, issue.2, 1981.
DOI : 10.1016/0022-5096(81)90021-1
, Comparison of internal and surface erosion using flow pump test on a sand-kaolinite mixture, Geotechnical Testing Journal, vol.23, issue.1, pp.116-122, 2000.
, A comparative analysis of interface erosion tests, Natural Hazards, vol.130, issue.4, pp.937-950, 2013.
DOI : 10.1007/s11069-013-0620-3
URL : https://hal.archives-ouvertes.fr/hal-01004679
, The localization of plastic deformation, Theoretical and Applied Mechanics, pp.207-220, 1976.
, A note on nonassociated plastic flow rules, International Journal of Plasticity, vol.5, issue.6, pp.639-658, 1989.
DOI : 10.1016/0749-6419(89)90005-3
, Suffusion tests on cohesionless granular matter, European Journal of Environmental and Civil Engineering, vol.29, issue.4, pp.799-817, 2011.
DOI : 10.1680/geot.1994.44.3.449
URL : https://hal.archives-ouvertes.fr/hal-01007350
, Multiscale approaches to describe mechanical responses induced by particle removal in granular materials, Comptes Rendus M??canique, vol.338, issue.10-11, pp.10-11, 2010.
DOI : 10.1016/j.crme.2010.10.003
, Mod??lisation discr??te de la rupture dans les milieux granulaires, Revue Europ??enne de G??nie Civil, vol.10, issue.8, 2006.
DOI : 10.1080/17747120.2006.9692899
, Modèles de comportement micro-mécaniques des géomatériaux, Construction | Mécanique des sols et géotechnique. Techniques de l'Ingénieur. Réf, p.221, 2016.
, Une description générale de la rupture dans les sols et son implication dans la stabilité des ouvrages hydrauliques, Digues maritimes et fluviales de protection contre les submersions -Digues2013, pp.263-271, 2013.
, Granular plasticity, a contribution from discrete mechanics, Journal of the Mechanics and Physics of Solids, vol.75, pp.119-139, 2015.
DOI : 10.1016/j.jmps.2014.09.010
URL : https://hal.archives-ouvertes.fr/hal-01299564
, Internal erosion in granular media: direct numerical simulations and energy interpretation, Hydrological Processes, vol.28, issue.9, pp.2149-2163, 2015.
DOI : 10.1002/hyp.10351
URL : https://hal.archives-ouvertes.fr/hal-01064732
, A description of internal erosion by suffusion and induced settlements on cohesionless granular matter, Acta Geotechnica, vol.60, issue.6, pp.735-748, 2015.
DOI : 10.1007/s11440-015-0388-6
URL : https://hal.archives-ouvertes.fr/hal-01299663
, The effect of particle shape on the marginal rigidity state in 2D granular media, EPL (Europhysics Letters), vol.86, issue.4, p.44003, 2009.
DOI : 10.1209/0295-5075/86/44003
URL : https://hal.archives-ouvertes.fr/hal-01007363
, Analysis of failure occurrence from direct simulations, European Journal of Environmental and Civil Engineering, vol.3, issue.2, pp.187-201, 2009.
DOI : 10.1002/nag.591
URL : https://hal.archives-ouvertes.fr/hal-01005248
, Coupled wellbore erosion and stability analysis, International Journal for Numerical and Analytical Methods in Geomechanics, vol.31, issue.9, pp.749-769, 1998.
DOI : 10.1002/(SICI)1096-9853(199809)22:9<749::AID-NAG944>3.0.CO;2-K
, Effects of the Erosion and Transport of Fine Particles due to Seepage Flow, International Journal of Geomechanics, vol.3, issue.1, pp.111-122, 2003.
DOI : 10.1061/(ASCE)1532-3641(2003)3:1(111)
, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, 2001.
, Multiscale characterisation of diffuse granular failure, Philosophical Magazine, vol.3, issue.36, pp.4547-4587, 2012.
DOI : 10.1080/14786435.2012.715766
URL : https://hal.archives-ouvertes.fr/hal-01008511
, Force cycles and force chains, Physical Review E, vol.81, issue.1, p.11302, 2010.
DOI : 10.1103/PhysRevE.81.011302
URL : https://hal.archives-ouvertes.fr/hal-00654281
, On the Uniqueness of Solution of the Initial Value Problem in Softening Materials, Journal of Applied Mechanics, vol.52, issue.3, pp.649-653, 1985.
DOI : 10.1115/1.3169115
, Hydro-mechanical axpects of the sand production problem. transport in porous media, Transport in porous media 22, pp.225-244, 1996.
, Investigation of internal erosion and piping of soils in embankment dams by the slot erosion test and the hole erosion test, UNICIV Report, vol.412, 2004.
, Recherches concernant les contraintes intergranulaires dans les milieux pulvérulents, Bulletin de Liaison des Ponts-et-Chaussées, vol.20, pp.1-20, 1966.
, Theory and Applications of Cellular Automata, 1986.