Stress and strain in granular assemblies

Mechanics of Materials

Volumn 22, Issue 3, 1996, Pages 165-177

  Bagi, Katalin ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Cell system; Geometry; Granular material; Microstructure; State variable

Indexed keywords

GEOMETRY; GRANULAR MATERIALS; MECHANICAL PROPERTIES; MICROSTRUCTURE; STRAIN; STRESSES;

CELL SYSTEM; RANDOM GRANULAR ASSEMBLY; STATE VARIABLE;

CONTINUUM MECHANICS;

EID: 0030110482     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-6636(95)00044-5     Document Type: Article

References (22)

1. Annic, C., D. Bideau, J. Lemaitre, J.P. Troadec and A. Gervois (1993), Geometrical properties of 2D packings of particles, Powders and Grains, Vol. 93, ed. C. Thornton (Balkema, Rotterdam, The Netherlands) pp. 11-16.
2. Bagi, K. (1991), Numerical analysis of granular assemblies, Doctoral thesis, TU Budapest.
3. Chang, C.S. (1993), Micromechanical modelling of deformation and failure for granulates with frictional contacts, Mech. Mater. 16(1-2), 13-24.
4. Chang, C.S., A. Misra and J.H. Xue (1989), Incremental stress-strain relationships for regular packings made of multi-sized particles, Int. J. Solids Struct. 25(6), 665-681.
5. Christoffersen J., M.M. Mehrabadi and S. Nemat-Nasser (1981), A micromechanical description of granular material behavior, J. Appl. Mech. 48, 339-344.
6. Cundall, P.A. and O.D.L. Strack (1983), Modelling of microscopic mechanisms in granular material, Mechanics of Granular Materials: New Models and Constitutive Equations, eds. J.T. Jenkins and M. Satake, (Elsevier, Amsterdam) pp. 137-149.
7. Drescher, A. and G. de Josselin de Jong (1972), Photoelastic verification of a mechanical model for the flow of a granular material, J. Mech. Phys. Solids 20, 337-351.
8. Gellatly, B.J and J.L. Finney (1982), Characterisation of multicomponent amorphous metals: the radical alternative to the Voronoi polyhedron, J. Non-Crystal. Solids 50, 313-329.
9. Koenders, M.A. (1993), Analytical estimates for constitutive relations of assemblies of particles in elasto-frictional contact, Powders and Grains, Vol. 93, ed. C, Thornton (Balkema, Rotterdam, The Netherlands) pp. 111-116.
10. Konishi, J. and F. Naruse (1988), A note on fabric in terms of voids, in: Micromechanics of Granular Material, eds. M. Satake and J.T. Jenkins (Elsevier, Amsterdam) pp. 39-46.
11. Mehrabadi, M.M., S. Nemat-Nasser, H.M. Shodja and G. Subhash (1988), Some basic theoretical and experimental results on micromechanics of granular flow, Micromechanics of Granular Materials, eds. M. Satake and J.T. Jenkins (Elsevier, Amsterdam) pp. 253-262.
12. Misra, A. (1993), A micromechanics model for consolidated granular solids, Powders and Grains, Vol. 93, ed. C. Thornton (Balkema, Rotterdam, The Netherlands) pp. 123-128.
13. Oda, M. (1972), Deformation mechanism of sand in triaxial compression tests, Soils and Foundations 12(4), 45-63.
14. Ostoja-Starzewski, M. and C. Wang (1989), Linear elasticity of planar Delaunay networks: random field characterization of effective moduli, Acta Mech. 80, 61-80.
15. Rothenburg, L. and A.P.S. Selvadurai (1981), A micromechanical definition of the Cauchy stress tensor for particulate media, Proc. Int. Symp. Mechanical Behavior of Structured Media, Ottawa, ed. Selvadurai, Part B, pp. 469-486.
16. Satake, M. (1976), Constitution of mechanics of granular materials through graph representation, Theor. Appl. Mech. 26, University of Tokyo Press, pp. 257-266.
17. Satake, M. (1983), Fundamentals quantities in the graph approach to granular materials, in: Mechanics of Granular Materials: New Models and Constitutive Equations, eds. J.T. Jenkins and M. Satake (Elsevier, Amsterdam).
18. Satake, M., ed., (1989), Mechanics of Granular Materials, Report of ISSMFE Technical Committee, Rio de Janeiro.
19. Satake, M. (1993), Discrete-mechanical approach to granular media, Powders and Grains, Vol. 93, ed. C. Thornton (Balkema, Rotterdam, The Netherlands) pp. 3-9.
20. Satake, M., ed., (1994), Discrete-mechanical formulation of granular materials, Mechanics of Granular Materials, Report of ISSMFE, New Delhi, pp. 1-6.
21. Schaefer, M. (1967), Analyse der Motorfelder im Cosserat-Kontinuum, Z. Angw. Math. Mech. 47(5), 319-328.
22. Tonti, E. (1976), The reason for analogies between physical theories, Appl. Math. Modelling 1, 37-50