Mean field modelling of the plastic behaviour of co-continuous dual-phase alloys with strong morphological anisotropy

International Journal of Plasticity

Volumn 22, Issue 12, 2006, Pages 2327-2345

  Delannay, Laurent ^a   Lani, Frédéric ^a   Pardoen, Thomas ^a   Delannay, Francis ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Anisotropic material (B); Elastic plastic material (B); Fibre reinforced composite material (B); Mean field models; Metallic material (B)

Indexed keywords

ALUMINUM; ANISOTROPY; COMPOSITE MATERIALS; NEUTRON DIFFRACTION; PLASTICITY; TENSILE TESTING;

ANISOTROPIC MATERIAL; ELASTIC-PLASTIC MATERIAL; MEAN FIELD MODELS; METALLIC MATERIAL; STRAIN PARTITIONING;

ALLOYS;

EID: 33747780776     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2006.03.009     Document Type: Article

References (43)

1. Ashby M.F. Criteria for selecting the components of composites. Acta Metall. Mater. 41 (1993) 1313-1335
2. Bao G., Hutchinson J.W., and McMeecking R.M. Particle reinforcement of ductile matrices against plastic flow and creep. Acta Metall. Mater. 39 (1991) 1871-1882
3. Bao G., Hutchinson J.W., and McMeecking R.M. The flow stress of dual-phase non-hardening solids. Mech. Mater. 12 (1991) 85-94
4. Böhm H.J. Continuum models for the thermomechanical behaviour of discontinuously reinforced materials. Adv. Eng. Mater. 6 (2004) 626-633
5. Boland F., Colin C., and Delannay F. Control of interfacial reactions during liquid phase processing of aluminium matrix composites reinforced with Inconel 601 fibres. Metall. Mater. Trans. 29A (1998) 1727-1739
6. Boland F., Colin C., Salmon C., and Delannay F. Tensile flow properties of Al-base matrix composites reinforced with a random planar network of continuous metallic fibres. Acta Mater. 46 (1998) 6311-6323
7. Buryachenko V.A. Elastic-plastic behavior of elastically homogeneous materials with a random field of inclusions. Int. J. Plasticity 15 (1999) 687-720
8. Carrere N., Valle R., Bretheau T., and Chaboche J.-L. Multiscale analysis of the transverse properties of Ti-based matrix composites reinforced by SiC fibres: form the grain scale to the macroscopic scale. Int. J. Plasticity 20 (2004) 783-810
9. Delannay F., and Clyne T.W. Elastic properties of cellular metals processed by sintering mats of fibres. In: Banhart J., Ashby M.F., and Fleck N.A. (Eds). Metal Foams and Porous Metal Structures (1999), MIT-Verlag, Bremen, Germany 293-298
10. Delincé M., and Delannay F. Elastic anisotropy of a transversely isotropic random network of interconnected fibres: non-triangulated network model. Acta Mater. 52 4 (2004) 1013-1022
11. Doghri I., and Ouaar A. Homogenization of two-phase elasto-plastic composite materials and structures: study of tangent operators, cyclic plasticity and numerical algorithms. Int. J. Solids Struct. 40 (2003) 1681-1712
12. Doghri I., and Tinel L. Micromechanical modelling and computation of elasto-plastic materials reinforced with distributed-orientation fibers. Int. J. Plasticity 21 (2005) 1919-1940
13. Dong M., and Schmauder S. Modeling of metal matrix composites by a self-consistent embedded cell model. Acta Mater. 44 (1996) 2465
14. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. Lond. Ser. A 241 (1957) 376-396
15. Feng X.-Q., Mai Y.-W., and Qin Q.-H. A micromechanical model for interpenetrating multiphase composites. Comput. Mater. Sci. 28 (2003) 486-493
16. Fotiu P.A., and Nemat-Nasser S. Overall properties of elastic-viscoplastic periodic composites. Int. J. Plasticity 12 (1996) 163-190
17. Hashin Z., and Shtrikman S. A variational approach to the theory of the elastic behaviour of multiphase materials. J. Mech. Phys. Solids 11 (1963) 127-140
18. Hu G. A method of plasticity for general aligned spheroidal void or fiber-reinforced composites. Int. J. Plasticity 12 (1996) 439-449
19. Jones R.M. Mechanics of Composite Materials (1975), Hemisphere Publishing Corporation, New York, USA
20. Kouzeli M., and Dunand D.C. Effect of reinforcement connectivity on the elasto-plastic behaviour of aluminium composites containing sub-micron alumina particles. Acta Mater. 51 (2003) 6105-6121
21. Lani, F., 2004. Micro-mechanical modeling of dual-phase elasto-plastic materials. Influence of the Morphological Anisotropy, Continuity, and Transformation of the Phases, Ph.D. Thesis, Université catholique de Louvain, Belgium.
22. Leßle P., Dong M., Soppa E., and Schmauder S. Simulation of interpenetrating microstructures by self consistent matricity models. Scripta Mater. 38 (1998) 1327-1332
23. Leßle P., Dong M., and Schmauder S. Self consistent matricity models to simulate the mechanical behaviour of interpenetrating microstructures. Comput. Mater. Sci. 15 (1999) 455-465
24. Li B., and Wang T. Plastic constitutive behaviour of short-fiber/particle reinforced composites. Int. J. Plasticity 19 (2003) 565-581
25. Lorentzen T., and Sørensen N.J. A new device for in-situ loading of samples during neutron diffraction strain measurements. In: Hansen N., Juul Jensen D., Leffers T., Lilholt H., Lorentzen T., Pedersen A.S., Pedersen O.B., and Ralph B. (Eds). Proceedings of 12th Risø International Symposium on Materials Science (1991), Risø National Laboratory, Roskilde, Denmark 489-496
26. Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21 (1973) 571-574
27. Nakamura T., and Suresh S. Effects of thermal residual stresses and fiber packing on deformation of metal-matrix composites. Acta Metall. Mater. 41 (1993) 1665-1681
28. Nemat-Nasser S., and Hori M. Micromechanics: Overall Properties of Heterogeneous Solids (1993), Elsevier, Amsterdam
29. Peng H.X., Fan Z., and Evans J.R.G. Bi-continuous metal matrix composites. Mater. Sci. Eng. A303 (2001) 37-45
30. Poech M.-H., and Ruhr D. Die quantitative characterisierung der gefügeanordnung. Prakt. Met. Sonderbd. 24 (1993) 385
31. Ponte Castañeda P., and Willis J.R. The effect of spatial distribution on the effective behavior of composite materials and cracked media. J. Mech. Phys. Sol. 43 (1995) 1919-1951
32. Ryelandt L., Salmon C., and Delannay F. Neutron diffraction analysis of the evolution of phase stresses during plastic straining of aluminium matrix composites reinforced with a continuous, random planar network of fibres. In: Böttger A.J., Delhey R., and Mittemeijer E.J. (Eds). Proceedings of 5th European Conference on Residual Stresses (2000), Trans Tech Publications Ltd., Zurich 486-491
33. Salmon, C., 2001. Influence of Processing Conditions on the Properties of Aluminium Matrix Composites Reinforced with Metallic Fibres, Ph.D. Thesis, Université catholique de Louvain, Belgium.
34. Salmon C., Tiberghien D., Molins R., Colin C., and Delannay F. Influence of the oxidation conditions of the fibres on the mechanical properties of Al matrix composites reinforced with Ni-based fibres. In: Streiff R. (Ed). High Temperature Corrosion and Protection of Material (2001), Trans Tech Publications Ltd, Zurich 435-442
35. Saraev J., and Schmauder S. Finite element modelling of Al/SiCp metal matrix composites with particles aligned in stripes - a 2D-3D comparison. Int. J. Plasticity 19 (2003) 733-747
36. Special Metal Corporation, 2004. Publication Number SMC-063, Huntington, USA. Available from: .
37. Tan P., Tong L., and Steven G.P. Modelling for predicting the mechanical properties of textile composites - a review. Composites Part A 28A (1997) 903-922
38. Torquato S. Random heterogeneous media: microstructure and improved bounds on the effective properties. Appl. Mech. Rev. 44 (1991) 37-76
39. Torquato S. Random Heterogeneous Materials: Microstructure and Macroscopic Properties (2002), Springer, Heidelberg
40. Wegner L.D., and Gibson L.J. The mechanical behaviour of interpenetrating phase composites - I: modeling. Int. J. Mech. Sci. 42 (2000) 925-942
41. Wegner L.D., and Gibson L.J. The mechanical behaviour of interpenetrating phase composites - II: a case study of a three-dimensionally printed material. Int. J. Mech. Sci. 42 (2000) 943-964
42. Wilkinson D.S., Pompe W., and Oeschner M. Modelling the mechanical behaviour of heterogeneous multi-phase materials. Prog. Mater. Sci. 46 (2001) 379-405
43. Willis J.R. On methods for bounding the overall properties of nonlinear composites. J. Mech. Phys. Solids 39 (1977) 73-86