On the evolution of stress and microstructure during general 3D deviatoric straining of granular media

Geotechnique

Volumn 60, Issue 5, 2010, Pages 333-341

  Thornton, C ^a   Zhang, L ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Fabric structure of soils; Numerical modelling; Shear strength; Stress path

Indexed keywords

CIRCULAR ARC; CONTACT FORCES; DEVIATORIC STRAIN; DEVIATORIC STRESS; ELASTIC SPHERE; EVOLUTION CURVE; FABRIC/STRUCTURE OF SOILS; FLOW RULES; FORCE CHAINS; GRANULAR MEDIA; LOADING DIRECTION; LODE ANGLE; NUMERICAL MODELLING; PERIODIC CELL; POLYDISPERSE SYSTEMS; STRESS AND STRAIN; STRESS PARAMETER; STRESS PATH; SUB-NETWORK; THREE-DIMENSIONAL STRESS; TWO PARAMETER;

FABRICS; POLYDISPERSITY; SOILS; STRAIN RATE; THREE DIMENSIONAL;

SHEAR STRENGTH;

GRANULAR MEDIUM; ISOTROPY; MICROSTRUCTURE; NUMERICAL MODEL; SHEAR STRENGTH; SOIL ANALYSIS; STRAIN ANALYSIS; STRAIN RATE; STRESS ANALYSIS; THREE-DIMENSIONAL MODELING;

EID: 77956259787     PISSN: 00168505     EISSN: 17517656     Source Type: Journal    
DOI: 10.1680/geot.2010.60.5.333     Document Type: Article

References (35)

1. Calvetti, F., Viggiani, G. & Tamagnini, C. (2003). A numerical investigation of the incremental behaviour of granular soils. Rivista Italiana di Geotecnica 37, 11-29.
2. Cheng, Y. P., Nakata, Y. & Bolton, M. D. (2003). Discrete element simulation of crushable soil. Géotechnique 53, No. 7, 633-641 doi: 10.1680/geot.2003.53.7.633.
3. Cheng, Y. P., Bolton, M. D. & Nakata, Y. (2004). Crushing and plastic deformation of soils simulated using DEM. Géotechnique 54, No. 2, 131-141, doi: 10.1680/geot.2004.54.2.131.
4. Cundall, P. A. (1988). Computer simulations of dense sphere assemblies. In Micromechanics of granular materials (eds M. Satake and J. T. Jenkins), pp. 113-123. Amsterdam: Elsevier.
5. Cundall, P. A. & Strack, O. D. L. (1979). A discrete numerical model for granular assemblies. Géotechnique 29, No. 1, 47-65, doi: 10.1680/geot.1979.29.1.47.
6. Cundall, P. A. & Strack, O. D. L. (1983). Modeling of microscopicmechanisms in granular materials. In Mechanics of granular materials: new models and constitutive relationships (eds J. T. Jenkins and M. Satake), pp. 137-149. Amsterdam: Elsevier.
7. Dantu, P. (1957). A contribution to the mechanical and geometrical study of non-cohesive masses. Proc. 4th Int. Conf. Soil Mech. Found. Engng, 144-148.
8. Davoudzadeh, F. (1982). Responses of sand to three independently controlled principal stresses. PhD thesis, University of London (University College).
9. de Josselin de Jong, G. and Verruijt, A. (1969). Étude photo-élastique d'un empilement de disques. Cahiers du Groupe Francais de Rheologie 2, 73-86.
10. Drescher, A. & de Josselin de Jong, G. (1972). Photo elastic verification of a mechanical model for the flow of a granular material. J. Mech. Phys. Solids 20, No. 5, 337-351.
11. Goldscheider, M. (1984). True triaxial tests on dense sand. In Constitutive relations for soils (eds G. Gudehus, F. Darve and I. Vardoulakis), pp. 11-54. Rotterdam: Balkema.
12. Hertz, H. (1896). In Miscellaneous papers by H. Hertz (eds D. E. Jones and G. A. Schott), London: McMillan and Co.
13. Lade, P. V. & Duncan, J. M. (1975). Elastoplastic stress-strain theory for cohesiveless soil. Proc. ASCE, J. Geotech. Engng 101, No. 10, 1037-1053.
14. Lin, X. & Ng, T. T. (1997). A three-dimensional discrete element model using arrays of ellipsoids. Géotechnique 47, No. 2, 319-329, doi: 10.1680/geot.1997.47.2.319.
15. Matsuoka, H. & Nakai, T. (1974). Stress-deformation and strength characteristics of soil under three different principal stresses. Proc. Jap. Soc. Civ. Engng 232, 59-70.
16. Mindlin, R. D. & Deresiewicz, H. (1953). Elastic spheres in contact under varying oblique force. Trans. ASME, J. Appl. Mech. 20, 327-344.
17. Ng, T. T. (2004). Shear strength of assemblies of ellipsoidal particles. Géotechnique 54, No. 10, 659-669, doi: 10.1680/geot.2004.54.10.659.
18. Oda, M. & Konishi, J. (1974). Microscopic deformation mechanism of granular material in simple shear. Soils Found. 14, No. 4, 25-38.
19. Ouadfel, H. & Rothenburg, L. (2001). Stress-force-fabric relationship for assemblies of ellipsoids. Mech. Mater. 33, No. 4, 201-221.
20. Radjai, F., Jean, M., Moreau, J.-J. & Roux, S. (1996). Force distributions in dense two-dimensional granular systems. Phys. Rev. Lett. 77, No. 2, 274-277.
21. Rothenburg, L. & Bathurst, R. J. (1989). An analytical study of induced anisotropy in idealised granular materials. Géotechnique 39, No. 4, 601-614, doi: 10.1680/geot.1989.39.4.601.
22. Thornton, C. (1997). Force transmission in granular media. KONA Powder and Particle 15, 81-90.
23. Thornton, C. (1999). Interparticle relationships between forces and displacements. In Mechanics of granular materials - an introduction (eds M. Oda and K. Iwashita), pp. 207-217. Rotterdam: Balkema.
24. Thornton, C. (2000a). Numerical simulations of deviatoric shear deformation of granular media. Géotechnique 50, No. 1, 43-53, doi: 10.1680/geot.2000.50.1.43.
25. Thornton, C. (2000b). Microscopic approach contributions to constitutive modelling. In Constitutive modelling of granular materials (ed. D. Kolymbas), pp. 193-208. Berlin: Springer.
26. Thornton, C. & Antony, S. J. (1998). Quasi-static deformation of particulate media. Phil. Trans. R. Soc. Lond. A 356, No. 1747, 2763-2782.
27. Thornton, C. & Antony, S. J. (2000). Quasi-static deformation of a soft particle system. Powder Technol. 109, No. 1-3, 179-191.
28. Thornton, C. & Barnes, D. J. (1986). Computer simulated deformation of compact granular assemblies. Acta Mechanica 64, No. 1-2, 45-61.
29. Thornton, C. & Lanier, J. (1997). Uniaxial compression of granular media: numerical simulations and physical experiment. In Powders and grains 97 (eds R. P. Behringer and J. T. Jenkins), pp. 223-226. Rotterdam: Balkema.
30. Thornton, C. & Sun, G. (1993). Axisymmetric compression of 3D polydisperse systems of spheres. In Powders and grains 93 (ed. C. Thornton), pp. 129-134. Rotterdam: Balkema.
31. Thornton, C. & Yin, K. K. (1991). Impact of elastic spheres with and without adhesion. Powder Technol. 65, No. 103, 153-166.
32. Thornton, C. & Zhang, L. (2005). On the elastic response of granular media. In Powders and grains 2005 (eds R. Garcia-Rojo, H. J. Herrmann and S. McNamara), pp. 235-238. Leiden: Balkema.
33. Wakabayshi, T. (1957). Photoelastic method for determination of stress in powdered mass. Proc. 7th Japan. Natl. Congr. Appl. Mech., 153-158.
34. Yamada, Y. (1978). Deformation characteristics of sand in three dimensional stress state. Proceedings of US-Japan seminar on continuum-mechanical and statistical approaches in the mechanics of granular materials, pp. 91-97. Tokyo: Gakujutsu Bunken Fukyukai.
35. Zhang, L. & Thornton, C. (2006). Probing the mechanical response of granular material in general 3D stress space. In Geomechanics and geotechnics of particulate media (eds M. Hyodo, H. Murata and Y. Nakata), pp. 199-204. London: Taylor and Francis.