A continuum model for granular materials: Considering dilatancy and the Mohr-Coulomb criterion
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[1] R. L. Braun,et al. Viscosity, granular‐temperature, and stress calculations for shearing assemblies of inelastic, frictional disks , 1986 .
[2] A. W. Jenike. Steady Gravity Flow of Frictional-Cohesive Solids in Converging Channels , 1964 .
[3] E. Andrade,et al. The Mechanism of Dilatancy , 1949 .
[4] Kenichi Kanatani,et al. A micropolar continuum theory for the flow of granular materials , 1979 .
[5] Katalin Bagi,et al. Stress and strain in granular assemblies , 1996 .
[6] V. V. Sokolovskii,et al. Statics of Granular Media , 1965 .
[7] S. Cowin. Constitutive relations that imply a generalized Mohr-Coulomb criterion , 1974 .
[8] Sand as a compressible fluid , 2000 .
[9] R. Bagnold,et al. The shearing and dilatation of dry sand and the 'singing’ mechanism , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[10] J. Goddard. Dissipative materials as models of thixotropy and plasticity , 1984 .
[11] J. Serrin. The Derivation of Stress-Deformation Relations for a Stokesian Fluid , 1959 .
[12] S. Cowin. A theory for the flow of granular materials , 1974 .
[13] Mehrdad Massoudi,et al. A theory for granular materials exhibiting normal stress effects based on Enskog's dense gas theory , 1990 .
[14] Bob Svendsen,et al. Debris flow modeling: A review , 1994 .
[15] P. W. Rowe. The stress-dilatancy relation for static equilibrium of an assembly of particles in contact , 1962, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[16] Stephen C. Cowin,et al. A continuum theory for granular materials , 1972 .
[17] P. Haff. Grain flow as a fluid-mechanical phenomenon , 1983, Journal of Fluid Mechanics.
[18] C. Jenkin. The Pressure Exerted by Granular Material: An Application of the Principles of Dilatancy , 1931 .
[19] F. M. Leslie,et al. SOME CONSTITUTIVE EQUATIONS FOR ANISOTROPIC FLUIDS , 1966 .
[20] Y. P. Vaid,et al. The strength and dilatancy of sand , 1992 .
[21] S. Nemat-Nasser,et al. A Micromechanical Description of Granular Material Behavior , 1981 .
[22] Guy T. Houlsby,et al. The flow of granular materials—I: Discharge rates from hoppers , 1982 .
[23] A.J.M. Spencer,et al. Theory of invariants , 1971 .
[24] D. F. McTigue,et al. A Nonlinear Constitutive Model for Granular Materials: Application to Gravity Flow , 1982 .
[25] K. K. Rao,et al. A frictional–kinetic model for the flow of granular materials through a wedge-shaped hopper , 1997, Journal of Fluid Mechanics.
[26] Hans J. Herrmann,et al. Modeling granular media on the computer , 1998 .
[27] Mehrdad Massoudi,et al. Flow of a fluid—solid mixture between flat plates , 1991 .
[28] S. Savage,et al. The Mechanics of Rapid Granular Flows , 1984 .
[29] S. Savage,et al. The dynamics of avalanches of granular materials from initiation to runout. Part I: Analysis , 1991 .
[30] Rajchenbach. Flow in powders: From discrete avalanches to continuous regime. , 1990, Physical review letters.
[31] R. L. Braun,et al. Stress calculations for assemblies of inelastic speres in uniform shear , 1986 .
[32] Timothy R. H. Davies,et al. Large debris flows: A macro-viscous phenomenon , 1986 .
[33] A. Wineman,et al. Flow of granular materials between rotating disks , 1994 .
[34] S. Nemat-Nasser,et al. Incremental constitutive relations for granular materials based on micromechanics , 1993, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[35] J. Jenkins,et al. A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles , 1983, Journal of Fluid Mechanics.
[36] M. Bolton. THE STRENGTH AND DILATANCY OF SANDS , 1986 .
[37] R. Jackson. Some Features of the Flow of Granular Materials and Aerated Granular Materials , 1986 .
[38] R. T. Shield,et al. On Coulomb's law of failure in soils , 1955 .
[39] P. G. de Gennes,et al. Reflections on the mechanics of granular matter , 1998 .
[40] M. Satake. Consideration on the Stress-Dilatancy Equation through the Work Increment Tensor , 1988 .
[41] G. Mandl,et al. Fully Developed Plastic Shear Flow of Granular Materials , 1970 .
[42] R. M. Nedderman,et al. Principles of Powder Mechanics. : Pergamon Press, 1970. 221 pp.,£3. , 1971 .
[43] J. E. Dunn,et al. On the Thermomechanics of Interstitial Working , 1985 .
[44] J. Ericksen,et al. Poiseuille flow of certain anisotropic fluids , 1961 .
[45] G. Gudehus. Granular media as rate-independent simple materials: Constitutive relations , 1969 .
[46] Osborne Reynolds Ll.D. F.R.S.. LVII. On the dilatancy of media composed of rigid particles in contact. With experimental illustrations , 1885 .
[47] S. Savage,et al. Gravity flow of cohesionless granular materials in chutes and channels , 1979, Journal of Fluid Mechanics.
[48] Kumbakonam R. Rajagopal,et al. On flows of granular materials , 1994 .
[49] Goodarz Ahmadi,et al. A generalized continuum theory for granular materials , 1982 .
[50] William C. Troy,et al. Existence of solutions to the equations governing the flow of granular materials , 1992 .
[51] M. Massoudi,et al. A method for measuring the material moduli of granular materials: Flow in an orthogonal rheometer , 1990 .
[52] K. Hutter,et al. Review Article Debris flow modeling: A review , 1996 .
[53] J. Goddard. Granular dilatancy and the plasticity of glassy lubricants , 1999 .
[54] Christian Veje,et al. Predictability and granular materials , 1999 .
[55] R. Bagnold. Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[56] Wei Wu,et al. Hypoplastic constitutive model with critical state for granular materials , 1996 .
[57] R. Rivlin,et al. Hydrodynamics of Non-Newtonian Fluids , 1947, Nature.
[58] Mehrdad Massoudi,et al. On the fully developed flow of a dense particulate mixture in a pipe , 1999 .
[59] S. Elaskar,et al. Constitutive relations for compressible granular materials using non-Newtonian fluid mechanics , 1998 .
[60] A. Eringen,et al. THEORY OF MICROPOLAR FLUIDS , 1966 .
[61] C. Truesdell,et al. The Non-Linear Field Theories Of Mechanics , 1992 .
[62] G. Gudehus. A COMPREHENSIVE CONSTITUTIVE EQUATION FOR GRANULAR MATERIALS , 1996 .
[63] S. C. Cowin,et al. Two problems in the gravity flow of granular materials , 1971, Journal of Fluid Mechanics.
[64] M. Reiner,et al. A Mathematical Theory of Dilatancy , 1945 .
[65] G. Ahmadi,et al. Rapid flow of granular materials with density and fluctuation energy gradients , 1994 .
[66] K. Terzaghi. Theoretical Soil Mechanics , 1943 .
[68] J. Goddard. Dissipative materials as constitutive models for granular media , 1986 .
[69] J. Ericksen,et al. Equilibrium Theory of Liquid Crystals , 1976 .
[70] R. Rivlin,et al. The hydrodynamics of non-Newtonian fluids. I , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[71] P. B. Bailey,et al. Shearing motion of a fluid‐saturated granular material , 1986 .
[72] H. Jaeger,et al. Granular solids, liquids, and gases , 1996 .
[73] K. Wieghardt. Experiments in Granular Flow , 1975 .
[74] Gabriel I. Tardos,et al. A fluid mechanistic approach to slow, frictional flow of powders , 1997 .
[75] F. Maddalena,et al. Viscoelasticity of granular materials , 1995 .
[76] R. Nedderman. Statics and Kinematics of Granular Materials: Euler's equation and rates of strain , 1992 .
[77] Donald W. Taylor,et al. Fundamentals of soil mechanics , 1948 .
[78] George L. Hand,et al. A theory of anisotropic fluids , 1962, Journal of Fluid Mechanics.
[79] S. Ogawa,et al. On the equations of fully fluidized granular materials , 1980 .
[80] D. C. Drucker,et al. Soil mechanics and plastic analysis or limit design , 1952 .
[81] J. P. Thomas,et al. Gravitational flows of granular materials with incompressible grains , 1980 .