A micro-macro homogenization approach for discrete particle assembly - Cosserat continuum modeling of granular materials

International Journal of Solids and Structures

Volumn 47, Issue 2, 2010, Pages 291-303

  Li, Xikui ^a   Liu, Qipeng ^a   Zhang, Junbo ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Consistent macroscopic modulus tensor; Cosserat continuum; Hill's lemma; Micro macro computational homogenization procedure; RVE boundary conditions

Indexed keywords

CONSISTENT MACROSCOPIC MODULUS TENSOR; COSSERAT CONTINUUM; HILL'S LEMMA; MICRO-MACRO COMPUTATIONAL HOMOGENIZATION PROCEDURE; RVE BOUNDARY CONDITIONS;

BOUNDARY CONDITIONS; CONTINUUM MECHANICS; ELASTICITY; GRANULAR MATERIALS; MICROSTRUCTURAL EVOLUTION; MODELS; PARTICLES (PARTICULATE MATTER); STRUCTURAL DESIGN; TENSORS;

VOLUME MEASUREMENT;

EID: 70449481142     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.09.033     Document Type: Article

References (25)

1. Bagi K. On the concept of jammed configurations from a structural mechanics perspective. Granular Matter 9 (2007) 109-134
2. Chang C.S., and Kuhn M.R. On virtual work and stress in granular media. International Journal of Solids and Structures 42 (2005) 3773-3793
3. Chu X.H., and Li X.K. Hierarchical multi-scale discrete particle model and crushing simulation. Journal of Dalian University of Technology 46 (2006) 319-326 (in Chinese)
4. Crisfield M.A., and Moita G.F. A co-rotational formulation for 2-D continua including incompatible modes. International Journal for Numerical Methods in Engineering 39 (1996) 2619-2633
5. Forest S., and Sab K. Cosserat overall modeling of heterogeneous materials. Mechanics Research Communications 25 4 (1998) 449-454
6. Forest S., Dendievel R., and Canova G.R. Estimating the overall properties of heterogeneous Cosserat materials. Modelling and Simulation in Materials Science and Engineering 7 (1999) 829-840
7. Hashin Z. Analysis of composite materials - a survey. Journal of Applied Mechanics 50 (1983) 481-505
8. Hill R. Elastic properties of reinforced solids: some theoretical principles. Journal of Mechanics and Physics of Solids 11 (1963) 357-372
9. Jetteur P.H., and Cescotto S. Mixed finite element for the analysis of large inelastic strains. International Journal for Numerical Methods in Engineering 31 (1991) 229-239
10. Kouznetsova V., Brekelmans W.A.M., and Baaijens F.P.T. An approach to micro-macro modeling of heterogeneous materials. Computational Mechanics 27 (2001) 37-48
11. Kouznetsova V., Geers M.G.D., and Brekelmans W.A.M. Multi-scale constitutive modeling of heterogeneous materials with a gradient-enhanced computational homogenization scheme. International Journal for Numerical Methods in Engineering 54 (2002) 1235-1260
12. Kuhn M.R., and Chang C.S. Stability, bifurcation, and softening in discrete systems: a conceptual approach for granular materials. International Journal of Solids and Structures 43 (2006) 6026-6051
13. Li X.K., and Cescotto S. Finite element method for gradient plasticity at large strains. International Journal for Numerical Methods in Engineering 39 (1996) 619-633
14. Li X.K., Chu X.H., and Feng Y.T. A discrete particle model and numerical modeling of the failure modes of granular materials. Engineering Computations 22 8 (2005) 894-920
15. Michel J.C., Moulinec H., and Suquet P.M. Effective properties of composite materials with periodic macrostructure: a computational approach. Computer Methods in Applied Mechanics and Engineering 172 (1999) 109-143
16. Miehe C., and Koch A. Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Archive of Applied Mechanics 72 (2002) 300-317
17. Nemat-Nasser S., and Hori M. Micromechanics: Overall Properties of Heterogeneous Materials (1999), Elsevier, Amsterdam
18. Oda M., and Iwashita K. Mechanics of Granular Materials (1999), A.A. Balkema, Rotterdam
19. Onck P.R. Cosserat modeling of cellular solids. Comptes Rendus Mecanique 330 (2002) 717-722
20. Plesha M.E., Edil T.B., and Bosscher P.J. Modeling Particle Damage in Discrete Element Simulations: Computer Methods and Advances in Geomechanics (2001), A.A. Balkema, Rotterdam pp. 581-585
21. Qu J., and Cherkaoui M. Fundamentals of Micromechanics of Solids (2006), Wiley, New Jersey
22. Smit R.J.M., Brekelmans W.A.M., and Meijer H.E.H. Prediction of the mechanical behaviour of non-linear heterogeneous systems by multi-level finite element modeling. Computer Methods in Applied Mechanics and Engineering 155 (1998) 181-192
23. Suquet P.M. Local and global aspects in the mathematical theory of plasticity. Plasticity Today: Modelling, Methods and Applications (1985), Elsevier Applied Science Publishers, London 279-310
24. Terada K., and Kikuchi N. A class of general algorithms for multi-scale analyses of heterogeneous media. Computer Methods in Applied Mechanics and Engineering 190 (2001) 5427-5464
25. Yuan X., and Tomita Y. Effective properties of Cosserat composites with periodic microstructure. Mechanics Research Communications 28 3 (2001) 265-270