Numerical determination of representative volumes for granular materials

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 30-32, 2004, Pages 3221-3238

  Stroeven, M ^a   Askes, H ^a   Sluys, L J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Granular material; Homogenisation; Mesostructure; Multi scale analysis; RVE

Indexed keywords

DENSITY (SPECIFIC GRAVITY); FINITE ELEMENT METHOD; PARTICLE SIZE ANALYSIS; SENSITIVITY ANALYSIS; STATISTICAL METHODS;

MATRIX MATERIAL; NUMERICAL DETERMINATION; REPRESENTATIVE VOLUME ELEMENTS (RVE);

SIZE DETERMINATION;

GRANULAR MEDIUM;

EID: 2942736805     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.09.023     Document Type: Article

References (35)

1. Chang C.S. Gao J. Second-gradient constitutive theory for granular material with random packing structure Int. J. Solids Struct. 32 1995 2279-2293
2. Mühlhaus H.-B. Oka F. Dispersion and wave propagation in discrete and continuous models for granular materials Int. J. Solids Struct. 33 1996 271-283
3. van der Sluis O. Schreurs P.J.G. Meijer H.E.H. Homogenisation of structured elastoviscoplastic solids at finite strains Mech. Mater. 33 2001 499-522
4. Peerlings R.H.J. Fleck N.A. Numerical analysis of strain gradient effects in periodic media J. Phys. IV 11 2001 153-160
5. Triantafyllidis N. Aifantis E.C. A gradient approach to localization of deformation. I. Hyperelastic materials J. Elasticity 16 1986 225-237
6. Aifantis E.C. The physics of plastic deformation Int. J. Plast. 3 1987 211-247
7. Pijaudier-Cabot G. Bažant Z.P. Nonlocal damage theory ASCE J. Engrg. Mech. 113 1987 1512-1533
8. Fleck N.A. Hutchinson J.W. A reformulation of strain gradient plasticity J. Mech. Phys. Solids 49 2001 2245-2271
9. Ghosh S. Lee K. Raghavan P. A multi-level computational model for multi-scale damage analysis in composite and porous materials Int. J. Solids Struct. 38 2001 2335-2385
10. 2 multiscale approach for modelling the elastoviscoplastic behaviour of long fiber SiC/Ti composite materials Comput. Methods Appl. Mech. Engrg. 183 2000 309-330
11. Kouznetsova V. Brekelmans W.A.M. Baaijens F.P.T. An approach to micro-macro modelling of heterogeneous materials Comput. Mech. 27 2001 37-48
12. Kouznetsova V. Geers M.G.D. Brekelmans W.A.M. Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme Int. J. Numer. Methods Engrg. 54 2002 1235-1260
13. Miehe C. Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation Int. J. Numer. Methods Engrg. 55 2002 1285-1322
14. Stroeven P. Stroeven M. Assessment of packing characteristics by computer simulation Cem. Concr. Res. 29 1999 1201-1206
15. Stroeven M. Stroeven P. Computer-simulated internal structure of materials Acta Stereol. 15 1996 247-252
16. Freudenthal A.M. The Inelastic Behavior of Engineering Materials and Structures 1950 John Wiley - Sons New York
17. Hashin Z. Analysis of composite materials-a survey ASME J. Appl. Mech. 50 1983 481-505
18. Drugan W.J. Willis J.R. A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites J. Mech. Phys. Solids 44 1996 497-524
19. Ostoja-Starzewski M. Microstructural randomness versus representative volume element in thermomechanics ASME J. Appl. Mech. 69 2002 25-35
20. Ren Z.-Y. Zheng Q.-S. A quantitative study of minimum sizes of representative volume elements of cubic polycrystals-numerical experiments J. Mech. Phys. Solids 50 2002 881-893
21. Vinogradov O. On a representative volume in the micromechanics of particulate composites Mech. Compos. Mater. 37 2001 245-250
22. Kanit T. Forest S. Galliet I. Mounoury V. Jeulin D. Determination of the size of the representative volume element for random composites: statistical and numerical approach Int. J. Solids Struct. 40 2003 3647-3679
23. Shan Z. Gokhale A.M. Representative volume element for non-uniform micro-structure Comput. Mater. Sci. 24 2002 361-379
24. Evesque P. Adjémian F. Stress fluctuations and macroscopic stick-slip in granular materials Eur. Phys. J. E 9 2002 253-259
25. Wang M. Kulatilake P.H.S.W. Um J. Narvaiz J. Estimation of REV size and three-dimensional hydraulic conductivity tensor for a fractured rock mass through a single well packer test and discrete fracture fluid flow modelling Int. J. Rock Mech. Min. Sci. 39 2002 887-904
26. Graham S. Yang N. Representative volumes of materials based on microstructural statistics Scripta Mater. 48 2003 269-274
27. P.E. Roelfstra, A Numerical Approach to Investigate the Properties of Numerical Concrete, Dissertation, EPFL-Lausanne, 1989
28. R. Diekkämper, Ein Verfahren zur numerischen Simulation des Bruch- und Verformungsverhaltens spröder Werkstoffe, Techn. Wissenschaftliche Mitteilungen der Institut für Konstruktiven Ingenieursbau, Ruhr Universität Bochum, 7, 1984
29. Bentz D.P. Garboczi E.J. Stutzman P.E. Computer modelling of the interfacial zone in concrete Maso J.C. Interfaces in Cementitious Composites 1993 E-FN Spon London
30. M. Stroeven, Discrete Numerical Model for the Structure Assessment of Composite Materials, Dissertation, Delft University of Technology, 1999
31. Mazars J. Pijaudier-Cabot G. Continuum damage theory-application to concrete ASCE J. Engrg. Mech. 115 1989 345-365
32. Bažant Z.P. Size effect Int. J. Solids Struct. 37 2000 69-80
33. Aifantis E.C. Strain gradient interpretation of size effects Int. J. Fract. 95 1999 299-314
34. M.R.A. van Vliet, Size Effect in Tensile Fracture of Concrete and Rock, Dissertation, Delft University of Technology, 2000
35. Hoel P.G. Introduction to Mathematical Statistics 1971 Wiley New York