Analysis of microstructural strain tensors for granular assemblies

International Journal of Solids and Structures

Volumn 43, Issue 10, 2006, Pages 3166-3184

  Bagi, Katalin ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Discrete mechanics; Kinematics; Numerical simulations; Translation gradient tensor

Indexed keywords

COMPOSITE MICROMECHANICS; FINITE DIFFERENCE METHOD; GRANULAR MATERIALS; KINEMATICS; MATHEMATICAL MODELS; MICROSTRUCTURE; STRAIN;

DISCRETE MECHANICS; NUMERICAL SIMULATIONS; TRANSLATION GRADIENT TENSOR;

TENSORS;

EID: 33645139964     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.07.016     Document Type: Article

References (20)

1. Bagi, K., 1993. On the definition of stress and strain in granular assemblies through the relation between micro- and macro-level characteristics. Powders and Grains 93, Thornton Balkema, C. (Ed), pp. 117-121.
2. K. Bagi Geometrical modeling of granular assemblies Acta Technica Acad. Sci. Hung. 107 1-2 1995 1 16
3. K. Bagi Stress and strain in granular assemblies Mech. Mater. 22 1996 165 177
4. Bagi, K., 2005. Dissertation for the DSc degree, Hungarian Academy of Sciences, Budapest.
5. K. Bagi An algorithm to generate random dense arrangements for discrete element simulations of granular assemblies Granular Matter 7 2005 31 43
6. B. Cambou, M. Chaze, and F. Dedecker Change of scale in granular materials Eur. J. Mech. A/Solids 19 2000 999 1014
7. P.A. Cundall, and O.D.L. Strack A discrete numerical model for granular assemblies Geotechnique 29 1979 47 65
8. F. Dedecker, M. Chaze, Ph. Dubujet, and B. Cambou Specific features of strain in granular materials Mech. Cohesive-Frictional Mater. 5 2000 173 193
9. A.C. Eringen Microcontinuum Field Theories: Foundations and Solids 1999 Springer-Verlag New York
10. L. Fejes Toth Lagerungen in der Ebene auf der Kugel und im Raum 1953 Springer-Verlag Berlin
11. G. Holzapfel Nonlinear Solid Mechanics 2001 Wiley & Sons Chichester pp. 70-84
12. Itasca, C.G., 2002. PFC-2D, Particle Flow Code in 2 Dimensions. Theory and Background. Itasca, 708 South Third Street 310, Minneapolis, 55415 USA.
13. N. Kruyt, and L. Rothenburg Micromechanical definition of the strain tensor for granular materials J. Appl. Mech. 118 1996 706 711
14. N.P. Kruyt Statics and kinematics of discrete Cosserat-type granular materials Int. J. Solids Struct. 40 2003 511 534
15. Kuhn, M., 1997. Deformation measures for granular materials. In: Proc. Mechanics of Deformations and Flow of Particulate Materials, 29 June-02 July 1997, Evanston, pp. 91-104.
16. M. Kuhn Structured deformation in granular materials Mech. Mater. 31 1999 407 429
17. C.L. Liao, T.P. Chang, D.H. Young, and C.S. Chang Stress-strain relationship for granular materials based on the hypothesis of best fit Int. J. Solids Struct. 34 1997 4087 4100
18. A. Okabe, B. Boots, K. Sugihara, and S.N. Chiu Spatial Tessellations 2000 Wiley & Sons
19. Rothenburg, L., 1980. Micromechanics of idealized granular materials. PhD Dissertation, Carleton University, Ottawa, Canada.
20. M. Satake Tensorial form definitions of discrete mechanical quantities for granular assemblies Int. J. Solids Struct. 41 2004 5775 5791