Details
Title
Modified Self Consistent Model for Time Independent Plasticity of Polycrystalline MaterialJournal title
Archives of Metallurgy and MaterialsYearbook
2000Issue
No 2Authors
Divisions of PAS
Nauki TechniczneCoverage
163-184Publisher
Institute of Metallurgy and Materials Science of Polish Academy of Sciences ; Committee of Materials Engineering and Metallurgy of Polish Academy of SciencesBibliography
[1] G. I. Taylor, Plastic strain in metals, J. Inst. Metals 62, 307 (1938).
[2] G. Sachs, Zur abteilung einer fleissbedingung, Zeit. Der V.DJ. 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. Kock s, J. J. Jonas, The yield surface of textured polycrystals, J. Mech., Phys. Solids 33, 371 (1985). 183
[5] E. Kroner, Zur plastichen verformung des vielkristalls, Acta Metali 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] B. Budiansky, T. T. Wu, Theoretical prediction of plastic strains of polycrystals, Proc., 4th 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, 1 l (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. Li piński, M. Berveiller, Elastoplasticity of micro-inhomogeneous metals at large strains, Int. J. of Plasticity 5, 149 (1989).
[14] P. Lipiński, Modćlisation du comportement des rnćtaux, en transformations ćlastoplastiques finies, ,l partir des methodes de transition d'echelles, Habilitation, University of Metz (1993).
[15] P. Lipiński, J. Krier, M. Berveiller, Elastoplasticite des metaux en grandes transformations: comportement global et evolution de la structure interne, Rev. Phys. Appliquće 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] M. Berveiller, A. Zaoui, Methode self-consistente en mćcanique des solides hćtćrogeness. 15emc Collogue du Groupe Franęais de Rheologie, Paris, France, 175 (1980).
[19] P. Zattarin, A. Carmasol, P. Lipiński, Une nouvelle approche numerique pour calculer les interactions entre deux inclusions dans un milieu anistrope, Compt. Rend. 3•rne congres de mecanique, SMSM, Maroc, 845 (1997).
[20] A. Baczmański, K. Wierzbanowski, J. Tarasiuk, M. Ceretti, A. Lodini, Anisotropy of Micro-Stresses Measured by Diffraction, Rev. de Metali. 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. Techno!. 27, 513 (1992).
[26] E. Kroner, 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 Metali 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 probleme de la paire d'inclusions plastiques et hetćrogenes dans une matrice anisotrope, Ph. D. Thesis, University of Metz (1985).