Particle spin in anisotropic granular materials

International Journal of Solids and Structures

Volumn 38, Issue 6-7, 2001, Pages 1063-1069

  Jenkins, J T ^b   La Ragione, L ^a,b  

^a POLITECNICO DI BARI   (Italy)

^b Cornell University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ELASTICITY; GRANULAR MATERIALS;

PARTICLE SPIN;

AGGREGATES;

EID: 0035254374     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(00)00073-1     Document Type: Article

References (18)

1. Chang, C.S., Misra, A., 1990. Application of uniform strain theory to hetrogeneous granular solids. Journal of Engineering Mechanics ASCE 116, 2310-2328.
2. Cowin, S.C., 1985. The relationship between the elasticity tensor and the fabric tensor. Mechanics of Materials 4, 137-147.
3. Digby, P.J., 1981. The effective elastic moduli of porous granular rocks. Journal of Applied Mechanics 16, 803-808.
4. Domenico, S.N., 1977. Elastic properties of unconsolidated sand reservoirs. Geophysics 42, 1339-1368.
5. Jenkins, J.T., 1988. Volume change in small strain axisymmetric deformations of a granular material. In: Satake, M., Jenkins, J.T. (Eds.), Micromechanics of Granular Materials. Elsevier, Amsterdam, pp. 245-252.
6. Jenkins, J.T., 1991. Anisotropic elasticity for random arrays of identical spheres. In: Wu, J., Ting, T.C.T., Barnett, D.M. (Eds.), Modern Theory of Anisotropic Elasticity and Its Applications, Society for Industrial and Applied Mathematics, Philadelphia, pp. 368-377.
7. Jenkins, J.T., Strack, O.D.L., 1993. Mean-field inelastic behavior of random arrays of identical spheres. Mechanics of Material 16, 25-33.
8. Kanatani, K., 1984. Distribution of directional data and fabric tensor. International Journal of Engineering Science 22, 149-164.
9. Koenders, M.A., 1994. Least squares method for the mechanics of nonhomogenous granular assemblies. Acta Mechanica 106, 23-40.
10. Love, A.E.H., 1927. A Treatise on the Mathematical Theory of Elasticity. Cambridge University Press, Cambridge.
11. Mehrabadi, M.M., Loret, B., Nermat-Nasser, S., 1993. Incremental constitutive relations for granular materials based on micromechanics. Proceedings of the Royal Society, London A 441, 433-463.
12. Misra, A., Chang, C.S., 1993. Effective elastic moduli of heterogeneous granular solids. International Journal of Solids and Structures 30, 2547-2566.
13. Mindlin, R.D., 1949. Compliance of elastic bodies in contact. Journal of Applied Mechanics 16, 259-268.
14. Mühlhaus, H.-B., Oka, F., 1996. Dispersion and wave propagation in discrete and continuous models for granular materials. International Journal of Solids and Structures 19, 2841-2858.
15. Mühlhaus, H.-B., Vardoulakis, I., 1987. The thickness of shear bands in granular materials. Géotechnique 37, 271-283.
16. Norris, A.N., Johnson, D.L., 1997. Nonlinear elasticity of granular materials. Journal of Applied Mechanics 64, 39-49.
17. Toupin, R.A., 1964. Theories of elasticity with couple stress. Archive for Rational Mechanics and Analysis 11, 385-414.
18. Walton, K., 1987. The effective elastic modulus of a random packing of spheres. Journal of the Mechanics and Physics of solids 35, 213-216.