Abstract
The Discrete Element Method (DEM) developed by Cundall and Strack (1979) was originally intended as a research tool for the investigation of the micromechanics of granular materials in order to identify the appropriate physically sound continuum model which then might be incorporated into finite element analyses of engineering scale problems. Little progress has been made to achieving this long term objective. However, during the last twenty years, DEM simulations have provided valuable insights into the behaviour of granular materials at the grain scale. Such information about what happens inside granular material, which is difficult to access in real physical experiments without intruding upon the material response, can lead to reassessment of the underlying concepts and assumptions inbedded in traditional continuum formulations.
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References
Cundall, P. A. and Strack, O. D. L. (1979b). A discrete numerical model for granular assemblies. Géotechnique 29, 47–65.
Cundall, P. A. and Strack, O. D. L. (1983). Modeling of microscopic mechanisms in granular materials. In Mechanics of Granular Materials: New Models and Constitutive Relationships, Eds. J. T. Jenkins & M. Satake, pp. 137–149, Amsterdam: Elsevier.
Lade, P. V. and Duncan, J. M. (1975). Elastoplastic stress-strain theory for cohesionless soil. J. Geotech. Engng., Am. Soc. Civ. Engrs 101, 1037–1053.
Radjai, F., Wolf, D. E., Roux, S., Jean, M. and Moreau, J.-J. (1997). Force networks in dense granular media. In Powders & Grains 97,’ Eds. R. P. Behringer & J. T. Jenkins, pp. 211–214, Rotterdam: Balkema.
Rothenburg, L. and Bathurst, R. J. (1989). An analytical study of induced anisotropy in idealised granular materials. Géotechnique 39, 601–614.
Satake, M. (1982). Fabric tensor in granular materials. In Deformation and Failure of Granular Materials, Eds. P. A. Vermeer & H. J. Luger, pp. 63–68, Rotterdam: Balkema.
Schofield, A. N. and Wroth, C. P. (1968). Critical State Soil Mechanics, McGraw-Hill, London.
Thornton, C. (1996). From contact mechanics to particulate mechanics. In Solid-Solid Interactions: Proc. First Royal Society — Unilever Indo-UK Forum in Materials Science and Engineering (H. Adams, Briscoe and Biswas eds.), Imperial College Press, 250–264.
Thornton, C. (1997a). Force transmission in granular media. KONA Powder and Particle 15, 81–90.
Thornton, C. (1997b). Coefficient of restitution for collinear collisions of elastic-perfectly plastic spheres. J. Appl. Mech. 64, 383–386.
Thornton, C. (1999). Numerical simulations of deviatoric shear deformation of granular media, (accepted for publication in Géotechnique)
Thornton, C. and Antony, S. J. (1998). Quasi-static deformation of particulate media. Phil. Trans. Roy. Soc. London A 356, 2763–2782.
Thornton, C. and Antony S. J. (1999). Quasi-static deformation of a soft particle system, (accepted for publication in Powder Technology)
Thornton, C. and Barnes, D. J. (1986). Computer simulated deformation of compact granular assemblies. Acta Mechanica 64, 45–61.
Thornton, C. and Lanier, J. (1997). Uniaxial compression of granular media: numerical simulations and physical experiment. In Powders &; Grains 97 (Behringer and Jenkins, eds.), Balkema, 223–226.
Thornton, C. and Lian, G. (1995). Energy considerations during oblique particle interactions. In Proc. 2nd Int. Symp. on Contact Mechanics (Raous, Jean and Moreau eds.), Carry-Le-Rouet, Plenum, 381–388.
Thornton, C. and Ning, Z. (1998). A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres. Powder Technology 99, 154–162.
Thornton, C. and Sun, G. (1993). Axisymmetric compression of 3D polydisperse systems of spheres. In Powders & Grains 93, Ed. C. Thornton, pp. 129–134, Rotterdam: Balkema.
Thornton, C. and Sun, G. (1994). Numerical simulation of general 3D quasistatic shear deformation of particulate media. In Numerical Methods in Geotechnical Engineering, Ed. I. M. Smith, pp. 143–148, Rotterdam: Balkema.
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Thornton, C. (2000). Microscopic approach contributions to constitutive modelling. In: Kolymbas, D. (eds) Constitutive Modelling of Granular Materials. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57018-6_8
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DOI: https://doi.org/10.1007/978-3-642-57018-6_8
Publisher Name: Springer, Berlin, Heidelberg
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