Numerical study of the influence of microstructure on subsequent yield surfaces of polycrystalline materials

International Journal of Mechanical Sciences

Volumn 46, Issue 9, 2004, Pages 1377-1398

  Zattarin, P ^a   Lipinski, P ^a   Rosochowski, A ^b  

^a UNIVERSITÉ PAUL VERLAINE METZ   (France)

^b UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Elastoplastic behaviour; Internal stresses; Polycrystalline materials; Scale transition techniques; Yield surface

Indexed keywords

CRYSTAL LATTICES; ELASTOPLASTICITY; HARDENING; MICROSTRUCTURE; RESIDUAL STRESSES; STRAIN; TENSORS;

ELASTOPLASTIC BEHAVIOUR; METALLIC MATERIALS; SCALE TRANSITION TECHNIQUES; YIELD SURFACE;

POLYCRYSTALLINE MATERIALS;

EID: 5744221213     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2004.07.003     Document Type: Article

References (33)

1. Jackson L, Smith KF, Lankfort WT. Plastic flow in anisotropic sheet metal. Technology Technical Publication, 1948.
2. Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the Royal Society of London 1948;A193:281.
3. Boehler JP, Sawczuk A. Equilibre limite des sols anisotropies. Journal de Mécanique 1970;9(1):5-33.
4. Boehler JP. Contributions théoriques et expérimentales à l'étude des milieux plastiques anisotropies. Thèse d'habilitation, Univesité Scientifique et Médicale de Grenoble, 1975.
5. Betten J. Application of tensor functions to the formulation of yield criteria for anisotropic materials. International Journal of Plasticity 1988;4(1):29-46.
6. Barlat F, Lian J. Plastic behavior and stretchability of sheet metals. Part I: a yield function for orthotropic sheet under plane stress conditions. International Journal of Plasticity 1989;5(1):51-66.
7. Bui HD. Ecrouissage des métaux. Comptes Rendus des Seances de l'Academie des Sciences, Paris 1964;259:4509-12.
8. Shiratori E, Ikegami K, Kaneko K, Yoshida F. Plastic behaviour in the combined loading along straight stress paths with a bend. (Investigation on the stress-strain relation by an anisotropic hardening plastic potential). Bulletin of the JSME 1977;20(150):1549-56.
9. Boucher M, Cayla P, Cordebois JP. Experimental studies of yield surfaces of aluminium alloy and low carbon steel under complex biaxial loadings. MECAMAT '92 International Seminar on Multiaxial Plasticity, LMT-Cachan, France, 1992. p. 300-20.
10. Bishop JFW, Hill R. A theoretical derivation of the plastic properties of a polycrystalline face-centered metal. Philosophical Magazine 1951;42:1298-307.
11. Canova GR, Kocks UF, Tome CN, Jonas JJ. The yield surface of textured polycrystals. Journal of the Mechanics and Physics of Solids 1985;33(4):371-97.
12. Lequeu P, Gilormini P, Montheillet F, Bacroix B, Jonas JJ. Yield surfaces for textured polycrystals - I, crystallographic approach. Acta Metallurgica 1987;35(2):439-51.
13. Van Houtte P. Calculation of the yield locus of textured polycrystals using the Taylor and the relaxed Taylor theories. Texture Microstructures 1987;7(1):29-72.
14. Van Houtte P, Toth L, Van Bael A. Analytical representation of polycrystal yield surfaces. In: Boehler JP, Khan AS editors. Proceedings of Plasticity '91, The third international symposium on plasticity and its current applications, vol. 1. France: Grenoble; 1991. p. 12.
15. ème congrès de mecanique; 1999. p. 13.
16. Beradaï C, Berveiller M, Lipinski P. Plasticity of metallic polycrystals under complex loading path. International Journal of Plasticity 1987;3(2):143-62.
17. Lipinski P, Berveiller M. Elasto-plasticity of micro-inhomogeneous metals at large strains. International Journal of Plasticity 1989;5(2): 149-72.
18. Lipinski P, Krier K, Berveiller M. Elastoplasticité des métaux en grandes transformations: comportement global et évolution de la structure interne. Reviews in Physics Applications 1990;25:361-88.
19. Zattarin P, Baczmanski A, Lipinski P, Wierzbanowski K. Modified self-consistent model for time independent plasticity of polycrystalline material. Archives of Metallurgy 2000;45(2):163-84.
20. Muller D, Berveiller M, Kratochvil K. Non local hardening in metals. 13th RISø international symposium on materials science, Denmark, 1992. p. 367-72.
21. Aubert I. Effets de l'hétérogénéisation plastique intragranulaire sur le comportement macroscopique des aciers doux lors de chargements complexes. Thesis, Université de Metz, 1998.
22. Bonfoh N, Carmasol A, Lipinski P. Modeling of intra-crystalline hardening of materials with particles. International Journal of Plasticity 2003;19(8):1167-93.
23. Franciosi P, Berveiller M, Zaoui A. Latent hardening in copper and aluminium single crystals. Acta Metallurgica 1980;28(3):273-83.
24. Van Houtte P. Simulation of the rolling and shear texture of brass by the Taylor theory adapted for mechanical twinning. Acta Metallurgica 1978;26(4):591-604.
25. Honeff H, Mecking H. A method for the determination of the active slip systems and orientation changes during single crystal deformation. In: Gottstein G, Lücke K, editors. International conference on textures of materials ICOTOM 5, 1978. Berlin: Springer; 1978. p. 265-275.
26. Tiem S, Berveiller M, Canova GR. Grain shape effects on the slip system activity and on the lattice rotations. Acta Metallurgica 1986;34(11):2139-49.
27. Mandel J. On the definition of the elastic strain rate and its relation with the stress rate. International Journal of Solids and Structures 1981;17(9):873-82.
28. Hill R, Rice JR. Constitutive analysis of elastic-plastic crystals at arbitrary strain. Journal of Mechanics and Physics of Solids 1972;20(6):401-13.
29. Asaro RJ. Micromechanics of crystals and polycrystals. Advances in Applied Mechanics 1983;23:1-115.
30. Nemat-Nasser S. On finite deformation elasto-plasticity. International Journal of Solids and Structures 1982;18(10):857-72.
31. Kröner E. Kontinuums Theorie der Versetzungen und Eigenspannungen, Berlin: Springer; 1958.
32. Berveiller M, Zaoui A. Modelling of the plastic behaviour of inhomogeneous media. Journal of Engineering Materials - Transactions of the ASME 1984;106(4):295-8.
33. Bunge HJ. Matematische Methoden der Texture Analyse. Berlin: Akademie Verlag; 1969.