Modified self consistent model for time independent plasticity of polycrystalline material

Archives of Metallurgy

Volumn 45, Issue 2, 2000, Pages 163-184

  Zattarin, Patrick ^a   Baczmański, Andrzej ^b   Lipiński, Paweł ^b   Wierzbanowski, Krzysztof ^b  

^a UNIVERSITÉ PAUL VERLAINE METZ   (France)

^b AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039003982     PISSN: 08607052     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. G. I. Taylor, Plastic strain in metals, J. Inst. Metals 62, 307 (1938).
2. G. Sachs, Zur abteilung einer fleissbedingung, Zeit. Der V.D.I. 72, 739 (1928).
3. P. Van Houtte, On the equivalence of the relaxed Taylor theory and the Bishop Hill theory for partially constrained plastic deformation of crystals, Mat. Sci. Engng 55, 69 (1982).
4. G. R. Canova, C. N. Tome, U. F. Kocks, J. J. Jonas, The yield surface of textured polycrystals, J. Mech., Phys. Solids 33, 371 (1985).
5. E. Kröner, Zur plastichen verformung des vielkristalls, Acta Metall 9, 155 (1961).
6. R. Hill, Continuum micro-mechanics of elastoplastic polycrystals, J. Mech. Phys. Solids 13, 89 (1965).
7. J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. Roy. Soc. A241, 376 (1957).
8. th US Nat. Cong. of Applied Mech., 1175 (1962).
9. J. W. Hutchinson, Plastic stress-strain relations of FCC polycrystalline metals hardening according to Taylor rule, J. Mech. Phys. Solids 12, 11 (1964).
10. J. W. Hutchinson, Plastic deformation of BCC polycrystals, J. Mech. Phys. Solids 12, 25 (1964).
11. M. Berveiller, A. Zaoui, An extention of the self-consistent scheme to plastically flowing polycrystals, J. Mech. Phys. Solids 26, 325 (1979).
12. T. Iwakuma, S. Nemat-Nasser, Finite elastic-plastic deformation of polycrystalline metals, Proc. R. Soc. Lond. A394, 87 (1984).
13. P. Lipiński, M. Berveiller, Elastoplasticity of micro-inhomogcneous metals at large strains, Int. J. of Plasticity 5, 149 (1989).
14. P. Lipiński, Modélisation du comportement des métaux, en transformations élastoplastiques finies, à partir des méthodes de transition d'échelles, Habilitation, University of Metz (1993).
15. P. Lipiński, J. Krier, M. Berveiller, Elastoplasticité des métaux en grandes transformations: comportement global et évolution de la structure interne, Rev. Phys. Appliquée 25, 361 (1990).
16. P. Lipiński, A. Naddari, M. Berveiller, Recent results concerning the modelling of polycrystalline plasticity at large strains, Int. J. Solids Structures 29, 1873 (1992).
17. K. Wierzbanowski, Some results of a theoretical study of plastic deformation and texture formation in polycrystals, Scientific Bulletins of St. Staszic University of Mining and Metallurgy, No 1132, Phys. Bull. 12 (1987).
18. ème Colloque du Groupe Français de Rheologie, Paris, France, 175 (1980).
19. ème congrés de mécanique, SMSM, Maroc, 845 (1997).
20. A. Baczmański, K. Wierzbanowski, J. Tarasiuk, M. Ceretti, A. Lodini, Anisotropy of Micro-Stresses Measured by Diffraction, Rev. de Metall. 94, 1467 (1997).
21. A. Baczmański, K. Wierzbanowski, J. Tarasiuk, Models of Plastic Deformation Used for Internal Stress Measurements, Z. Metallkd. 86, 507 (1995).
22. T. Leffers, Phys. Stat. Sol. 25, 337 (1968).
23. T. Leffers, A. Kinematic Model for the Plastic Deformation of Face-Centred Cubic Polycrystal Riso Report No 302, Danish Atomic Energy Commission, Riso, Denmark (1975).
24. K. Wierzbanowski, Z. Jasieński, Some Comments on Sachs and Taylor Type Deformation, Scripta Met 15, 585 (1981).
25. K. Wierzbanowski, J. Jura, W. G. Haije, R. B. Helmholdt, FCC Rolling Texture Transitions in Relation to Constraint Relaxation, Cryst. Res. Technol. 27, 513 (1992).
26. E. Kröner, Kontinuumstheorie der Versetzungen and Eigenspannungen, Berlin, Springer-Verlag (1958).
27. J. F. Nye, Physical properties of crystals, Clarendon, Press Oxford (1957).
28. L. P. Kubin, G. Canova, The modelling of dislocation patterns, Scripta Metall Mater. 27, 957 (1992).
29. P. Franciosi, M. Berveiller, A. Zaoui, Latent hardening in copper and aluminium single crystals, Acta Met 28, 273 (1980).
30. Ch. Schmitt, P. Lipiński, M. Berveiller, Micromechanical modelling of the elastoplastic behaviour of polycrystals containing precipitates. Application to hypo and hyper eutectoid steels, Int. J. Plasticity 13, 183 (1997).
31. R. Hill, On the elasticity and stability of perfect crystals at finite strain, Math. Proc. Camb. Phil. Soc. 77, 225 (1975).
32. O. Fassi-Fehri, Le problème de la paire d'inclusions plastiques et hétérogènes dans une matrice anisotrope, Ph. D. Thesis, University of Metz (1985).