Fluctuations and the effective moduli of an isotropic, random aggregate of identical, frictionless spheres

Journal of the Mechanics and Physics of Solids

Volumn 53, Issue 1, 2005, Pages 197-225

  Jenkins, J ^a   Johnson, D ^b   La Ragione, L ^a,c   Makse, H ^b,d  

^a Cornell University ^*  (United States)

^b SCHLUMBERGER DOLL RESEARCH   (United States)

^c POLITECNICO DI BARI   (Italy)

^d CITY COLLEGE OF NEW YORK   (United States)

Author keywords

A. Vibrations; B. Granular materials; C. Probability and statistics; Rock; Stress waves

Indexed keywords

ACOUSTIC EMISSIONS; COMPUTER SIMULATION; ELASTIC MODULI; FRICTION; GRANULAR MATERIALS; PROBABILITY; ROCKS; STATISTICS; VIBRATIONS (MECHANICAL);

FRICTIONLESS SPHERES; RANDOM AGGREGATES; STRAIN APPROXIMATIONS; STRESS WAVES;

AGGREGATES;

EID: 9644254525     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.06.002     Document Type: Article

References (10)

1. Cundall, P.A., 1988. Computer simulations of dense sphere assemblies. In: Satake, M., Jenkins, J.T. (Eds.), Micromechanics of Granular Materials. Elsevier, Amsterdam, pp. 113-123.
2. Digby, P.J., 1981. The effective elastic moduli of porous granular rocks. J. Appl. Mech. 48, 803-808.
3. Jenkins, J.T., 1997. Inelastic behavior of random arrays of identical spheres. In: Fleck, N.A. (Ed.), Mechanics of Granular and Porous Materials. Kluwer, Amsterdam, pp. 11-22.
4. Jenkins, J.T., Cundall, P.A., Ishibashi, I., 1989. Micromechanical modeling of granular materials with the assistance of experiments and numerical simulations. In: Biarez, J., Gourves, R. (Eds.), Powders and Grains. Balkema, Rotterdam, pp. 257-264.
5. Love, A.E.H., 1927. A Treatise on the Mathematical Theory of Elasticity. Cambridge University Press, Cambridge.
6. Makse, H.A., Gland, N., Johnson, D.L., Schwartz, L.M., 1999. Why effective medium theory fails in granular materials. Phys. Rev. Lett. 83, 5070-5075.
7. Norris, A.N., Johnson, D.L., 1997. Nonlinear elasticity of granular media. J. Appl. Mech. 64, 39-49.
8. Paine, A.C., 1997. Calculation of the effective moduli of a random packing of spheres using a perturbation of the uniform strain approximation. In: Behringer, R.P., Jenkins, J.T. (Eds.), Powders and Grains 97. Balkema, Amsterdam, pp. 291-294.
9. Trentadue, F., 2001. A micromechanical model for a non-linear elastic granular material based on local equilibrium. Int. J. Solids Struct. 38, 7319-7342.
10. Walton, K., 1987. The effective elastic moduli of a random packing of spheres. J. Mech. Phys. Solids 35, 213-226.