An equilibrium-based approach for the micromechanical modelling of a non-linear elastic granular material

Mechanics of Materials

Volumn 36, Issue 4, 2004, Pages 323-334

  Trentadue, Francesco ^a  

^a POLITECNICO DI BARI   (Italy)

Author keywords

Elastic moduli; Granular materials; Homogenization; Micromechanics

Indexed keywords

CORRELATION METHODS; ELASTIC MODULI; ELASTICITY; GRANULAR MATERIALS; STRAIN; STRESSES;

HOMOGENIZATION THEORY; MICROMECHANICAL MODELING;

MATERIALS SCIENCE;

EID: 0347355126     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(03)00061-9     Document Type: Article

References (23)

1. Bathurst R.J., Rothenburg L. Micromechanical aspects of isotropic granular assemblies with linear contact interactions. J. Appl. Mech. ASME. 55:1988;17-23.
2. Cattaneo C. Sul contatto di due corpi elastici. Accademia dei Lincei. Rendiconti. 27:1938;342-348.
3. Chang S.C., Liao C.L. Constitutive relation for a particulate medium with the effect of particle rotation. Int. J. Solids Struct. 26:1990;437-453.
4. Chang C.S., Misra A., Sundaram S. Micromechanical modelling of cemented sands under low amplitude oscillations. Geotecnique. 40:1990;251-263.
5. Deresiewicz H. Stress-strain relations for a simple model of a granular medium. Journal of Applied Mechanics. 25:1958;403-406.
6. Digby P.J. The effective elastic moduli of porous granular rocks. J. Appl. Mech. 48:1981;803-808.
7. Duffy J. A differential stress-strain relation for the exagonal closed packed array. J. Appl. Mech. Trans. ASME. 25:1959;88-94.
8. Duffy J., Mindlin R.D. Stress-strain relation and vibrations of granular medium. J. Appl. Mech. Trans. ASME. 7:1957;585-593.
9. El Horsi, M., 1984. Contribution à l'étude des propriétés mécaniques des matériaux. Thése de Doctorat d'Etat, Universitè Paris V.
10. Emeriault F., Cambou B. Micromechanical modelling of anisotropic non-linear elasticity of granular medium. Int. J. Solids Struct. 33:1996;2591-2607.
11. Emeriault F., Chang C.S. Interparticle forces and displacements in granular materials. Comput. Geotech. 3/4:1997;223-244.
12. Hardin B.O. The nature of stress-strain behaviour of soils. Proceeding of the Geotechnical Division. Conference on Earthquake Engineering and Soil Dynamics. 1978;ASCE, Pasadena, California.
13. Kruyt N.P., Rothenburg L. Statistics of the elastic behavior of granular materials. Int. J. Solids Struct. 38:2001;4879-4899.
14. Liao C.L., Chang T.P., Young D.H., Chang C.S. Stress-strain relationship for granular materials based on the hypothesis of best fit. Int. J. Solids Struct. 34:1997;4087-4100.
15. Liao C.L., Chan T.C., Suilker A.S.J., Chang C.S. Pressure dependent elastic moduli of granular assemblies. Int. J. Anal. Numer. Methods Geomech. 24:2000;265-279.
16. Mindlin R.D. Compliance of elastic bodies in contact. J. Appl. Mech. ASME. 16:1949;259-268.
17. Mindlin R.D., Deresiewicz H. Elastic spheres in contact under varying oblique forces. Journal of Applied Mechanics. 20:1953;327-344.
18. Misra A., Chang C.S. Effective elastic moduli of heterogeneous granular solids. Int. J. Solids Struct. 30:1993;2547-2566.
19. Nemat-Nasser S., Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. 1993;North Holland.
20. Subbash G., Nemat-Nasser S., Mehrabadi M.M., Shodja H.M. Experimental investigation of fabric-stress relation in granular materials. Mech. Mater. 11:1991;87-106.
21. Trentadue F. A micromechanical modeling of a non linear elastic granular medium based on local equilibrium conditions. Int. J. Solids Struct. 38/40-41:2001;7319-7342.
22. Vu-Quoc L., Zhang X. An accurate and efficient tangential force-displacement model for elastic frictional contact in particle flow simulation. Mechanics of Materials. 31:1999;235-269.
23. Walton K. The effective elastic moduli of a random packing of spheres. J. Mech. Phys. Solids. 35:1987;213-226.