Analysis of three-dimensional micro-mechanical strain formulations for granular materials: Evaluation of accuracy

International Journal of Solids and Structures

Volumn 47, Issue 2, 2010, Pages 251-260

  Duran O ^a   Kruyt, N P ^a   Luding, S ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Granular materials; Micromechanics; Strain tensor

Indexed keywords

CONSTITUTIVE RELATIONS; DELAUNAY TESSELLATIONS; DISCRETE ELEMENT METHOD SIMULATIONS; EQUIVALENT CONTINUUM; GRANULAR ASSEMBLY; MACROSCOPIC DEFORMATIONS; MICRO-MECHANICAL; PARTICLE CONTACTS; PARTICLE DISPLACEMENT; STRAIN TENSOR; STRESS TENSORS; TWO-DIMENSION; TWO-DIMENSIONAL ASSEMBLIES;

CONTACTS (FLUID MECHANICS); GRANULAR MATERIALS; MICROMECHANICS; STRESSES; TENSORS; THREE DIMENSIONAL;

PARTICLES (PARTICULATE MATTER);

EID: 70449507483     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.09.035     Document Type: Article

References (22)

1. Bagi K. Stress and strain in granular assemblies. Mech. Mater. 22 (1996) 165-177
2. Bagi K. Analysis of microstructural strain tensors for granular assemblies. Int. J. Solids Struct. 43 (2006) 3166-3184
3. Bagi K. Discussion of the paper Tensorial form definitions of discrete mechanical quantities for granular assemblies. Int. J. Solids Struct. 43 (2006) 2840-2844
4. Cambou B., Dubujet F., Emeriault F., and Sidoroff F. Homogenization for granular materials. Eur. J. Mech. A/Solids 14 2 (1995) 255-276
5. Cambou B., Chaze M., and Dedecker F. Change of scale in granular materials. Eur. J. Mech. A/Solids 19 (2000) 999-1014
6. Cundall P.A., and Strack O.D.L. A discrete numerical model for granular assemblies. Géotechnique 29 (1979) 47-65
7. Drescher A., and de Josselin de Jong G. Photoelastic verification of a mechanical model for the flow of a granular materials. J. Mech. Phys. Solids 20 (1972) 337-351
8. Drummen, M. 2006. DEM simulations and theory of the HCP. M.Sc. Thesis, Department of Chemical Engineering, Technological University of Delft, Delft, The Netherlands.
9. Goldhirsch I., and Goldenberg C. Continuum mechanics for small systems and fine resolutions. In: Rieth M., and Schommers W. (Eds). Handbook of Theoretical and Computational Nanotechnology (2005), American Scientific Publishers, Stevenson Ranch, CA 1-58
10. ITASCA, 1999. Particle flow code in two dimensions. Users Manual: Theory and Background. ITASCA, Minneapolis, MN, pp. 3.11-3.13.
11. Kruyt N.P. Statics and kinematics of discrete Cosserat-type granular materials. Int. J. Solids Struct. 40 (2003) 511-534
12. Kruyt N.P., and Rothenburg L. Micromechanical definition of strain tensor for granular materials. ASME J. Appl. Mech. 118 (1996) 706-711
13. Kuhn M.R. Structured deformation in granular materials. Mech. Mater. 31 (1999) 407-429
14. Lätzel M., Luding S., and Herrmann H.J. From discontinuous models towards a continuum description. In: Vermeer P.A., Diebels S., Ehlers W., Herrmann H.J., Luding S., and Ramm E. (Eds). Continuous and Discontinuous Modelling of Cohesive Frictional Materials (2001), Springer, Berlin 215-230
15. Liao C.-L., and Chan T.-C. A generalized constitutive relation for a randomly packed particle assembly. Comput. Geotech. 20 3/4 (1997) 345-363
16. Liao C.-L., Chang T.-P., Young D.-H., and Chang C.S. Stress-strain relationship for granular materials based on the hypothesis of best fit. Int. J. Solids Struct. 34 (1997) 4087-4100
17. Liu Y., and Snoeyink J. A comparison of five implementations of 3D Delaunay tessellation. Comb. Comput. Geom. 52 (2005) 439-458
18. Luding S. Cohesive frictional powders: contact models for tension. Granul. Matter 10 (2008) 235-246
19. Luding S. The effect of friction on wide shear bands. Particul. Sci. Technol. 26 (2008) 33-42
20. Satake, M. 2002. Micro-mechanical definition of strain tensor for granular assemblies. In: Smyth, A. (Ed.), Proceedings of the 15th ASCE Engineering Mechanics Conference.
21. Satake M. Tensorial form definitions of discrete-mechanical quantities for granular assemblies. Int. J. Solids Struct. 41 (2004) 5775-5791
22. Tordesillas A., Walsh S.D.C., and Muthuswamy M. The effect of local kinematics on the local and global deformations of granular systems. Math. Mech. Solids (2008) 10.1177/1081286507089844