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Breakage mechanics. II: Modelling granular materials. (English) Zbl 1419.74048
Not reviewed. For part I, see [ibid. 55, No. 6, 1274-1297 (2007; Zbl 1419.74047)].

74A45 Theories of fracture and damage
74E20 Granularity
Full Text: DOI
[1] Airey, D.W., 2006. Personal communication.
[2] Ashby, M.F.; Jones, D.R.H., Engineering materials 1. an introduction to their properties and applications. international series on material science and technology, (1980), Pergamon Press
[3] Biarez, J.; Hicher, P., Elementary mechanics of soil behaviour, (1994), A.A. Balkema Rotterdam
[4] Butterfield, R., A natural compression law for soils (an advance on e-logp′), Géotechnique, 29, 4, 469-480, (1979)
[5] Collins, I.F.; Einav, I., On the validity of elastic/plastic decompositions in soil mechanics. elastoplasticity, (), 193-200
[6] Collins, I.F.; Houlsby, G.T., Application of thermomechanical principles to the modeling of geomaterials, Proc. royal soc. London A, 453, 1975-2001, (1997) · Zbl 0933.74045
[7] Einav, I., 2006. Breakage mechanics—Part I: theory. J. Mech. Phys. Solids (accepted, 9 October 2006), to be published. · Zbl 1419.74047
[8] Einav, I., Carter, J.P., 2007. On convexity, normality, pre-consolidation pressure and singularities of geomaterials. Granul. Matter 9(1-2) 87-96. (Available online http://dx.doi.org/10.1007/s10035-006-0025-z). · Zbl 1200.74029
[9] Einav, I.; Puzrin, A.M., Pressure-dependent elasticity and energy conservation in elastoplastic models for soils, ASCE J. geotech. geoenviron. eng., 130, 1, 81-92, (2004)
[10] Hutchings, I.M., Tribology: friction and wear of engineering materials, (1992), Edward Arnold
[11] McDowell, G.R.; Bolton, M.D., On the micromechanics of crushable aggregates, Géotechnique, 48, 5, 667-679, (1998)
[12] McDowell, G.R.; Bolton, M.D.; Robertson, D., The fractal crushing of granular materials, J. mech. phys. solids, 44, 12, 2079-2102, (1996)
[13] Nakata, Y.; Hyodo, M.; Hyde, A.F.L.; Kato, Y.; Murata, H., Microscopic particle crushing of sand subjected to high pressure one-dimensional compression, Soils and foundations, 41, 1, 69-82, (2001)
[14] Novello, E.A., Johnston, I.W., 1989. Normally consolidated behaviour of geotechnical materials. In: Proceedings of the 12th International Conference on Soil Mechanics, Rio de Janeiro, vol. 3. pp. 2095-2100.
[15] Roscoe, K.H.; Burland, J.B., Engineering plasticity, (), 535-609
[16] Schofield, A.N.; Wroth, C.P., Critical state soil mechanics, (1968), McGraw-Hill London
[17] Walton, K., The effective elastic moduli of a random packing of spheres, J. mech. phys. solids, 35, 2, 213-226, (1987) · Zbl 0601.73117
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