Modeling of intra-crystalline hardening of materials with particles

International Journal of Plasticity

Volumn 19, Issue 8, 2003, Pages 1167-1193

  Bonfoh, Napo ^a   Carmasol, Alain ^a   Lipinski, Paul ^a  

^a UNIVERSITÉ PAUL VERLAINE METZ   (France)

Author keywords

B. Constitutive behavior; B. Crystal plasticity; B. Elastic plastic material; B. Inhomogeneous material; B. Residual stress

Indexed keywords

ANISOTROPY; COMPOSITE MICROMECHANICS; CRYSTALLOGRAPHY; ELASTOPLASTICITY; GRANULAR MATERIALS; HARDENING; PARTICLES (PARTICULATE MATTER); PLASTIC FLOW; RESIDUAL STRESSES; SINGLE CRYSTALS; VOLUME FRACTION;

CONSTITUTIVE BEHAVIOR;

POLYCRYSTALS;

EID: 0037411927     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(02)00015-3     Document Type: Article

References (25)

1. Barbe F., Decker L., Jeulin D., Cailletaud G. Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model. Int. J. Plasticity. 17:2001;513-536.
2. Barbe F., Forest S., Cailletaud G. Intergranular and intragranular behavior of polycrystalline aggregates. Part 2: Results. Int. J. Plasticity. 17:2001;537-563.
3. Berveiller M., Zaoui A. Modelling of the plastic behavior of inhomogeneous media. J. Eng. Mater. Technol. 106:1984;295-298.
4. Bochet L., Delobelle P., Robinet P., Feaugas X. Mechanical and microstructural investigations of an austenitic stainless steel under non-proportional loadings in tension-torsion-internal and external pressure. Int. J. Plasticity. 17:2001;1491-1530.
5. Bonfoh, N., Lipinski P., Carmasol, A., Tiem, S., in press. Micromechanical modeling of the ductile damage of polycrystalline materials with heterogeneous particles.
6. Dederichs P.H., Zeller R. Variational treatment of the elastic constants of disordered materials. Z. Phys. 259:1973;103-113.
7. François M. A plasticity model with yield surface distortion for non proportional loading. Int. J. Plasticity. 17:2001;703-717.
8. Franciosi P., Berveiller M., Zaoui A. Latent hardening in copper and aluminium single crystals. Acta Metall. 28:1980;273-283.
9. Hill R., Rice J.R. Constitutive analysis of elastic-plastic crystals at arbitrary strain. J. Mech. Phys. Solids. 20:1972;401-413.
10. Hoc T., Forest S. Polycrystal modelling of IF-Ti steel under complex loading path. Int. J. Plasticity. 17:2001;65-85.
11. Hosford W.F. The mechanics of crystals and textured polycrystals. 1993;Oxford University Press, New-York.
12. Hutchinson J.W. Elastic-plastic behavior of polycrystalline metals and composites. Proc. Roy. Soc. London, Ser. A. 319:1970;247-272.
13. Iwakuma T., Nemat-Nasser S. Finite elastic-plastic deformation of polycrystalline metals. Proc. Roy. Soc. London, Ser. A. 394:1984;87-119.
14. Lefers T. Phys. Stat. Sol. 25:1968;337.
15. Lipinski, P., 1993. Modélisation du Comportement des Matériaux, en Transformations Élastoplastiques Finies, à Partir des Méthodes de Transition d'Échelles. Thèse d'habilitation, Université de Metz.
16. Lipinski P., Berveiller M. Elasto-plasticity of micro-inhomogeneous metals at large strains. Int. J. Plasticity. 5:1989;149-172.
17. Lipinski P., Berveiller M., Corvasce F. Statistical approach to elastoplastic behavior of polycrystals at finite deformation. Arch. Mech. 40:1988;725-740.
18. Mandel J. Une généralisation de la théorie de la plasticité de W. T. Koiter. Int. J. Solids Struct. 1:1965;273-295.
19. Qui Y., Weng G.H. Elastic constants of a polycrystal with transvesaly isotropic grains and the influence of precipitates. Mech. Mater. 12:1990;1.
20. Sachs G. Zur abteilung einer fleissbedingung. Zeit. Der V.D.I. 72:1928;739-747.
21. Schmitt C., Lipinski P., Berveiller M. Micromechanical modelling of the elastoplastic behavior of polycrystals containing particless - application to hypo - and hyper-eutectoid steels. Int. J. Plasticity. 13(3):1997;183-199.
22. Van Houtte P. Fast calculation of average Taylor factors and Mandel spins for all possible strain modes. Int. J. Plasticity. 17:2001;807-818.
23. Wierzbanowski K., Jura J., Haije W.G., Helmholdt R.B. FCC rolling texture transitions in relation to constraint relaxation. Cryst. Res. Technol. 27:1992;513.
24. Zattarin P., Baczmanski A., Lipinski P., Wierzbanowski K. Modified self-consistent model for time independent plasticity of policrystalline materials. Archives of Metallurgy. 45:2000;163-184.
25. Zhu Z.G., Weng G.H. Micromechanics of time-dependent deformation in a dispersion-hardened polycrystal. Acta Mech. 69:1987;295.