Study of the origin of shear zones in quasi-static vertical chute flows by using discrete particle simulations

Mechanics of Materials

Volumn 24, Issue 4, 1996, Pages 273-285

  Gutfraind, R ^a   Pouliquen, O ^a,b  

^a MCGILL UNIVERSITY   (Canada)

^b ECOLE POLYTECHNIQUE   (France)

Author keywords

Chute flows; Granular materials; Shear zones; Stress fluctuations

Indexed keywords

CONTINUUM MECHANICS; FLOW OF SOLIDS; GRANULAR MATERIALS; SIMULATION; STRESS CONCENTRATION; VELOCITY;

CHUTE FLOWS; DISCRETE PARTICLE SIMULATION; SHEAR ZONES; STRESS FLUCTUATION;

PARTICLES (PARTICULATE MATTER);

EID: 0030414258     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(96)00040-3     Document Type: Article

References (27)

1. Ahmadi, G. and M. Shahinpoor (1983a), A kinetic model for rapid flows of granular materials, Int. J. Non-Line Mech, 19, 177.
2. Ahmadi, G. and M. Shahinpoor (1983b), A note on collision operators in rapid granular flows of rough inelastic particles, Powder Technol. 35, 119.
3. Ahmadi, G. and M. Shahinpoor (1983c), Towards a turbulent model of rapid flow of granular materials, Powder Technol. 35, 241.
4. Allen, M.P. and D.J. Tildesley (1987), Computer Simulation of Liquids, Oxford University Press, Oxford.
5. Ammi, M., D. Bideau and J.P. Troadec (1987), Geometrical structure of disordered packing of regular polygons; comparison with disc packing structures, J. Phys. D 20, 424.
6. Balendran, B. and S. Nemat-Nasser (1993), Double sliding model for cyclic deformation of granular materials including dilatancy effects, J. Mech. Phys. Solids 41, 573,
7. Bardet, J.P. and J. Proubet (1992), Shear-band analysis in idealized granular material J. Eng. Mech. 118, 397.
8. Campbell, C.S. (1990), Rapid granular flows, Annu. Rev. Fluid Mech. 22, 57.
9. Drescher, A. and G. de Josselin de Jong (1972), Photoelastic verification of a mechanical model for the flow of granular material, J. Mech. Phys. Solids 20, 337.
10. Edwards, S.F. and R.B.S. Oakeshott (1989), The transmission of stress in an aggregate, Physica D 38, 88.
11. Evans, D.J. (1979), The non symmetric pressure tensor in polyatomic fluids, J. Stat. Phys. 38, 547.
12. Mindlin, R.D. (1949), Compliance of elastic bodies in contact, J. Appl. Mech. 16, 259.
13. Mindlin, R.D. and H. Deresiewicz (1953), Elastic spheres in contact under varying oblique forces, J. Appl. Mech. 20, 327.
14. Mühlhaus, H.B. and I. Vardoulakis (1987), The thickness of shear bands in granular materials, Gèotechnique 37, 271.
15. Natarajan, V., M. Hunt and E. Taylor (1995), Local measurements of velocity fluctuations and diffusion coefficients for a granular material flow, J. Fluid Mech. 304, 1.
16. Nedderman, R. and C. Laohakul (1980), The thickness of shear zone of flowing granular materials, Powder Technol. 25, 91.
17. Pouliquen, O. and R. Gutfraind (1995), Stress fluctuations and shear zones in quasi-static granular chute flows, Phys. Rev. E 53, 552.
18. Rice, J.R. (1976), The localization of plastic deformation, in: Proc. 14th IUTAM Congr., Delft, p. 207.
19. Roscoe, K.H. (1970), The influence of strains in soil mechanics. 10th Rankine Lecture, Gèotechnique 20, 129.
20. Rowe, P. W. (1962), The stress-dilatancy relation for static equilibrium of an assembly of particles in contact, Proc. R. Soc., London, Ser. A 269, 500.
21. Savage, S.B. (1992), Numerical simulations of Couette flow of granular materials; Spatio-temporal coherence and 1/f noise, in: Physics of Granular Media, eds., D. Bideau and J.A. Dodds, Nova Science Publishers, New York, p. 343.
22. Savage, S.B. and M. Sayed (1984), Stresses developed by dry cohesionless granular materials sheared in an annular shear cell, J. Fluid Mech. 142, 391.
23. Savage, S.B. and R. Dai (1992), Some aspects of bounded and unbounded shear flows of granular materials, in: Advances in Micromechanics of Granular Materials, eds. H. Shen, M. Satake, M. Mehrabadi, C.S. Chang and C.S. Campbell, Elsevier, Amsterdam, p. 151.
24. Takahashi, H. and H. Yanai (1973), Flow profile and void fraction of granular solids in a moving bed, Powder Technol. 7, 205.
25. Walton, O.R. (1993), Numerical simulation of inelastic, frictional particle-particle interactions, in: Particulate Two-Phase Flows, ed. M.C. Rocco, Butterworth-Heinemann, Boston, p. 884.
26. Walton, O.R. and R.G. Braun (1986), Viscosity and temperature calculations for assemblies of inelastic frictional disks, J. Rheol. 30, 949.
27. Walton, O.R., R.G. Braun, R.G. Mallon and D.M. Cervelli (1988), Particle-dynamics calculations of gravity flow of inelastic, frictional spheres, in: Micromechanics of Granular Materials, eds. M. Satake and J.T. Jenkins, Elsevier, Amsterdam, p. 153.