A multi-scale analysis of materials reinforced by inclusions randomly oriented in the ply plane

Applied Mechanics and Materials

Volumn 61, Issue , 2011, Pages 55-64

  Lacoste, Emmanuel ^a   Fréour, Sylvain ^a   Jacquemin, Frédéric ^a  

^a UNIVERSITÉ DE NANTES   (France)

Author keywords

Composite materials; Kr ner Eshelby self consistent model; Multiple inclusions; Multiscale analysis; Random orientation; Thermoelastic behaviour

Indexed keywords

MULTI SCALE ANALYSIS; MULTIPLE INCLUSIONS; RANDOM ORIENTATIONS; SELF-CONSISTENT MODEL; THERMOELASTICS;

MECHANICAL PROPERTIES; MORPHOLOGY; THERMOELASTICITY;

MATERIALS;

EID: 79959674937     PISSN: 16609336     EISSN: 16627482     Source Type: Book Series    
DOI: 10.4028/www.scientific.net/AMM.61.55     Document Type: Article

References (26)

1. U.F. Kocks, C.N. Tomé and H.R. Wenk: Texture and anisotropy (1998), Cambridge University Press.
2. Y. Benveniste: A new approach to the application of Mori-Tanaka's theory in composite materials, Mechanics of Materials, Vol. 6 (1987), pp. 147-157. (Pubitemid 18530321)
3. Y. Benveniste, G.J. Dvorak and T. Chen: On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media, Journal of Mechanics and Physics of Solids, Vol. 39 (1991), pp.927-946.
4. T. Chen, G.J. Dvorak and Y. Benveniste: Mori-Tanaka estimates of the overall elastic moduli of certain composite materials, Journal of Applied Mechanics, Vol. 59 (1992), pp. 539-546. (Pubitemid 23590262)
5. Hexcel France: Hextool Datasheet (information on www.hexcel.com).
6. R. Hill: The essential structure of constitutive laws for metals composites and polycrystals, Journal of the Mechanics and Physics of Solids, Vol. 15 (1967), pp. 79-95.
7. J.D. Eshelby: The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proceedings of the Royal Society London, Issue A241 (1957), pp. 376-396.
8. R. Hill: The essential structure of constitutive laws for metals composites and polycrystals, Journal of the Mechanics and Physics of Solids, Vol. 13 (1965), pp. 89-101.
9. R. Morris: Elastic constants of polycrystals, International Journal of Engineering Science, Vol. 8 (1970), pp. 49-61.
10. S. Fréour, F. Jacquemin and R. Guillén: Extension of Mori-Tanaka approach to hygro-elastic loading of fiber-reinforced Composites - Comparison with Eshelby-Kröner self-consistent model, Journal of Reinforced Plastics and Composites, Vol. 25 (2006), pp. 1039-1052. (Pubitemid 44060272)
11. J. Berryman, P. Berge: Critique of two explicit schemes for estimating elastic properties of multiphase composites, Mechanics of Materials, Vol. 22 (1996), pp. 149-164. (Pubitemid 126349432)
12. E. Kröner: Berechnung der elastischen Konstanten des Vielkristalls aus des Konstanten des Einkristalls, Zeitschrift für Physik, Vol. 151 (1958), pp. 504-508.
13. E. Kröner: Zur plastischen verformung des vielkristalls, Acta Metallurgica, Vol. 9 (1961), pp.155-161.
14. J.W. Hutchinson: Elastic-plastic behaviour of polycrystalline metals and composites, Proceedings of the Royal Society London, issue 319 (1970), pp. 247-272.
15. G.J. Weng: A self-consistent relation for the time-dependent creep of polycrystals, International Journal of Plasticity, Vol. 9 (1993), pp. 181-198. (Pubitemid 23643643)
16. E. Le Pen, D. Baptiste: Multi-scale fatigue behaviour modelling of Al/Al2O3 short fibre composites by a micro-macro approach, International Journal of Fatigue, Vol. 24 (2002), pp. 205-214. (Pubitemid 34065202)
17. D. Baptiste: Non Linear Behavior Micromechanical Multi-scale Modelling of Discontinuous Reinforced Composites, Materials Science Forum, Vol. 426-432 (2003), pp. 3939-3944.
18. F. Jacquemin, S. Fréour and R. Guillén: A hygro-elastic self-consistent model for fiberreinforced composites, Journal of Reinforced Plastics and Composites, Vol. 24 (2005), 485-502. (Pubitemid 40690627)
19. A. Agbossou, J. Pastor: Thermal stresses and thermal expansion coefficients of n-layered fiberreinforced composites, Composite Science and Technology, Vol. 57 (1997), pp.249-260.
20. R.W. Vook, F. Witt: Thermally induced strains in cubic metal films, Journal of Applied Physics, Vol. 39 (1968), pp. 2773-2776.
21. U. Welzel, S. Fréour: Extension of the Vook-Witt and inverse Vook-Witt elastic graininteraction models to general loading states, Philosophical Magazine, Vol. 87 (2007), pp.3921-3943. (Pubitemid 47266813)
22. E. Lacoste, K. Szymanska, S. Terekhina, S. Fréour, F. Jacquemin, M. Salvia: A multi-scale analysis of local stresses during the cure of a composite tooling material, In Press (Composites Part A).
23. J.A. Guemes: Curing Residual Stresses and Failure Analysis in Composite Cylinders, Journal of Reinforced Plastics and Composites, 13 (1994), pp. 408-419.
24. K. Ogi, H.S. Kim, T. Maruyama and Y. Takao: The infuence of hygrothermal conditions on the damage processes in quasi-isotropic carbon/epoxy laminates, Composites Science and Technology, Vol. 59 (1999), p. 2375.
25. H. Krenchel, in: Fibre Reinforcements (1964), Akademisk Forlag, Copenhagen, Denmark.
26. E.T. Thostenson, T.W. Chou: On the elastic properties of carbon nanotube-based composites: modeling and characterisation, Journal of Physics D: Applied Physics, Vol. 36 (2003), pp. 573-582.