Computational evaluation of effective material properties of composites reinforced by randomly distributed spherical particles

Composite Structures

Volumn 77, Issue 2, 2007, Pages 223-231

  Kari, Sreedhar ^a   Berger, Harald ^a   Rodriguez Ramos, Reinaldo ^b   Gabbert, Ulrich ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b UNIVERSITY OF HAVANA   (Cuba)

Author keywords

Finite element method; Homogenization; Periodic boundary conditions; Representative volume element

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; EVALUATION; FINITE ELEMENT METHOD; PARTICLE SIZE ANALYSIS; RANDOM PROCESSES; VOLUME FRACTION;

NUMERICAL HOMOGENIZATION; PERIODIC BOUNDARY CONDITIONS; RANDOM SEQUENTIAL ADSORPTION ALGORITHM; REPRESENTATIVE VOLUME ELEMENT; SPHERICAL PARTICLE REINFORCED COMPOSITES;

COMPOSITE MATERIALS;

COMPOSITE; FINITE ELEMENT ANALYSIS; MATHEMATICAL MODEL;

EID: 33748967207     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2005.07.003     Document Type: Article

References (33)

1. Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mech Mater 6 (1987) 147-157
2. Berger H., Kari S., Gabbert U., Rodriguez-Ramos R., Guinovart-Diaz R., Otero J.A., et al. An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites. Int J Solids Struct 42 (2005) 5692-5714
3. Berger H, Kari S, Gabbert U, Rodriguez-Ramos R, Guinovart-Diaz R, Otero JA, et al. Unit cell models of piezoelectric fiber composites for numerical and analytical calculation of effective properties. J Smart Mater Struct, in press.
4. Berger H., Gabbert U., Köppe H., Rodriguez-Ramos R., Bravo-Castillero J., Guinovart-Diaz R., et al. Finite element and asymptotic homogenization methods applied to smart material composites. Comput Mech 33 (2003) 61-67
5. Böhm H.J., Eckschlager A., and Han W. Multi-inclusion unit cell models for metal matrix composites with randomly oriented discontinuous reinforcements. Comput Mater Sci 25 (2002) 42-53
6. Christensen R.M., and Lo K.H. Solutions for effective shear properties of three phase sphere and cylinder models. J Mech Phys Solids 27 (1997) 315-330
7. Drugan W.J. Micromechanics-based variational estimates for a higher-order nonlocal constitutive equation and optimal choice of effective moduli of elastic composites. J Mech Phys Solids 48 (2000) 1359-1387
8. Drugan W.J., and Willis J.R. A micromechanics-based nonlocal constitutive equation and estimates of the representative volume element size for elastic composites. J Mech Phys Solids 45 (1996) 1449-1459
9. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc Roy Soc A 241 (1957) 376-396
10. Eshelsby J.D. The elastic field outside an ellipsoidal inclusion. Proc Roy Soc A 252 (1959) 561-569
11. Eshelby J.D. Elastic inclusions and inhomogeneities. In: Sneddon I.N., and Hill R. (Eds). Progress in Solid Mechanics vol. II (1961), North-Holland, NY 89-140
12. Gusev A.A. Representative volume element size for elastic composites: a numerical study. J Mech Phys Solids 45 (1997) 1449-1459
13. Gusev A.A., Hine P.J., and Ward I.M. Fiber packing and elastic properties of transversely random unidirectional glass/epoxy composite. Compos Sci Tech 60 (2000) 535-541
14. Hashin Z. The elastic moduli of heterogeneous materials. J Appl Mech 29 (1962) 143-150
15. Hashin Z., and Shtrikman S. A variational approach to the theory of elastic behaviour of multiphase materials. J Mech Phys Solids 11 (1963) 127-140
16. Hill R. A self-consistent mechanics of composite materials. J Mech Phys Solids 13 (1965) 213-222
17. Hine P.J., Lusti H.R., and Gusev A.A. Numerical simulation of the effects of volume fraction, aspect ratio and fibre length distribution on the elastic and thermoelastic properties of short fibre composites. Compos Sci Tech 62 (2002) 1445-1453
18. Kanit T., Forest S., Galliet I., Mounoury V., and 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
19. Lenglet E. Numerical homogenization techniques applied to piezoelectric composites. J Acoustic Soc Am 113 2 (2003)
20. Li L.X., and Wang T.J. A unified approach to predict overall properties of composite materials. Mater Charact 54 (2005) 49-62
21. Segurado J., and Llorca J. A numerical approximation to the elastic properties of sphere-reinforced composites. J Mech Phys Solids 50 (2003) 2107-2121
22. Lusti H.R., Hine P.J., and Gusev A.A. Direct numerical predictions for the elastic and thermo elastic properties of short fibre composites. Compos Sci Tech 62 (2002) 1927-1934
23. Milton G.W. Bounds on the elastic and transport properties of two-component composites. J Mech Phys Solids 30 (1982) 177-191
24. Milton G.W., and Phan-Thien N. New bounds on effective elastic moduli of two-component materials. Proc Roy Soc Lond A380 (1982) 305-331
25. Mori T., and Tanaka K. Average stress in the matrix and average elastic energy of materials with misfitting inclusions. Acta Metall Mater 21 (1973) 571-574
26. Reuss A. Berechnung der Fliessgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle. Z Angew Math Mech 9 (1929) 49-58
27. Suquet P. Elements of homogenization theory for inelastic solid mechanics. In: Sanchez-Palencia E., and Zaoui A. (Eds). Homogenization Techniques in Composite Media (1987), Springer-Verlag, Berlin 194-278
28. Torquato S. Random heterogeneous media: Microstructure and improved bounds on the effective properties. Appl Mech Rev 44 (1991) 37-76
29. Torquato S. Effective stiffness tensor of composite media. II. Applications to isotropic dispersions. J Mech Phys Solids 46 (1998) 1411-1440
30. Torquato S. Morphology and effective properties of disordered heterogeneous media. Int J Solids Struct 35 19 (1998) 2385-2406
31. Torquato S. Random heterogeneous materials: microstructure and macroscopic properties (2002), Springer Publications, Berlin
32. Wang J.S. Random sequential adsorption, series expansion and Monte Carlo simulation. Physica A 254 (1998) 179-184
33. Voigt W. Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper. Wied Ann Physik 38 (1889) 573-587