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Berveiller, M.; Zaoui, A.

An extension of the self-consistent scheme to plastically-flowing polycrystals. (English) Zbl 0395.73033

J. Mech. Phys. Solids 26, 325-344 (1978).
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Cited in 1 Review
Cited in 80 Documents

MSC:

74C99 Plastic materials, materials of stress-rate and internal-variable type
74B10 Linear elasticity with initial stresses

Keywords:

Isotropic Elasto-Plastic Approximation; Self-Consistent Scheme; Constraint Tensor; Elasto-Plastic Accommodation; Uniaxial Tension Tests for Fcc Polycrystals; Plastic Flow; Texture Development; Kroener Model Prediction; Plastic Stress Relaxation; Crystal Hardening Matrix
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References:

[1] Budiansky, B.; Wu, T. T., (Rosenberg, R. M., Proceedings of the Fourth U.S. National Congress of Applied Mechanics (1962), American Society of Mechanical Engineers: American Society of Mechanical Engineers New York), 1175, Berkeley, CA. 18-21 June 1962
[2] Bunge, H. J., Mathematische Methoden der Texturanalyse (1969), Akademie-Verlag: Akademie-Verlag Berlin
[3] Chin, G. Y., Textures in Research and Practice, (Grewen, J.; Wassermann, G., Proceedings of International Symposium. Claustal-Zeller-feld, Germany. 2-5 October 1968 (1969), Springer-Verlag: Springer-Verlag Berlin/Heidelberg), 81
[4] Eshelby, J. D., (Proc. R. Soc. A, 241 (1957)), 376
[5] Hill, R., J. Mech. Phys. Solids, 13, 89 (1965) · Zbl 0127.15302
[6] Hutchinson, J. W., J. Mech. Phys. Solids, 12, 11 (1964)
[7] Hutchinson, J. W., (Proc. R. Soc. A, 319 (1970)), 247
[8] Jackson, P. J.; Basinski, Z. S., Can. J. Phys., 45, 707 (1967)
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[10] Jaoul, B., Elude de la Plasticité et Application aux Métaux (1965), Dunod: Dunod Paris
[11] Koiter, W. T., (Sneddon, I. N.; Hill, R., Progress in Solid Mechanics, Vol. I (1960), North-Holland: North-Holland Amsterdam), 165-221, Ch. IV · Zbl 0090.17301
[12] Kröner, E., Acta metall., 9, 155 (1961)
[13] Lin, T. H., J. Mech. Phys. Solids, 5, 143 (1957) · Zbl 0077.23604
[14] Mandel, J., Int. J. Solids Structures, 1, 273 (1965)
[15] Nowacki, W. K.; Zarka, J., Int. J. Solids Structures, 7, 1277 (1971)
[16] Sachs, G., Z. Ver. dt. Ing., 72, 734 (1928)
[17] Schmid, E.; Boas, W., Plasticity of Crystals with Special Reference to Metals (1968), Chapman & Hall: Chapman & Hall London, Also in English translation
[18] Taylor, G. I., The Scientific Papers of Sir Geoffrey Ingram Taylor, (Batchelor, G. K., Mechanics of Solids, Vol. I (1958), Cambridge University Press), 424, Also · Zbl 0198.57501
[19] Zaoui, A., Etude de l’influence propre de la désorientation des grains sur le comportement viscoplastique de métaux polycrystallins (système c.f.c.), (Ph.D. Thesis (1970), University of Paris)
[20] Zaoui, A., Int. J. Solids Structures, 8, 1089 (1972)
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