Abstract
It is well known that during manufacturing processes, the internal structure of polycrystals become strongly oriented, thus anisotropic [1]. On the macroscopic level, the oriented internal structure results in the anisotropy of the mecahnical behavior. For rolled sheet-steel, the internal structure generally presents three orthogonal planes of symmetry; the macroscopic behavior is thus orthotropic. When sheet-steel is subjected to further irreversible processes, the anisotropy of the internal structure is modified. The modifications affect not only the degree of initial orthotropy, but also the type of anisotropy, according to the orientation of the principal directions of the irreversible deformation with respect to the rolling direction: this is the phenomenon of anisotropic hardening.
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References
PARNIERE, P., Relations entre Textures et Comportement Mécanique Anisotrope des Métaux, in: Mechanical Behavior of Anisotropic Solids, Proc. Euromech Colloquium–Colloque International 295 du CNRS, J.P. BOEHLER ed.,Editions du CNRS (Paris) and Martinus Nijhoff Publishers (The Hague), 1982: 303–332.
ADKINS, J.E., Symmetry Relations for Orthotropic and Transversely Isotropic Materials, Arch. Rat. Mech. An., 4 (1960): 192–213.
SPENCER, A.J.M., Theory of Invariants, in: Continuum Physics, C. ERINGEN ed., Academic Press, New-York, (1971): 239–353.
BOEHLER, J.P., Lois de Comportement Anisotrope des Milieux Continus, Journal de Mécanique, 17, 2 (1978): 183–190.
RACLIN, J., Remarques sur les Conditions de Plasticité des Milieux Ecrouissables, Troisième Congrès Français de Mécanique, Grenoble, (1977).
MURAKAMI, S. and SAWCZUK, A., On Description of Rate-Independent Behaviour for Prestrained Solids, Archives of Mechanics, 32 (1979): 251–264.
BOEHLER, J.P. and RACLIN, J., Anisotropic Hardening of Prestrained Sheet-Steel, in: Current Advances in Mechanical Design and Production, Proc. Second Cairo University MDP Conference, Dpt. of MDP, Faculty of Engineering, Cairo University, (1982): 483–492.
BOEHLER, J.P. and RACLIN, J., A Unified Theoretical and Experimental Study of Anisotropic Hardening, 6th Int. Conference on SMIRT,North-Holland, Amsterdam, (1981), Invited Lecture L 3/2.
BOEHLER, J.P. and RACLIN, J., Ecrouissage Anisotrope des Matériaux Orthotropes Prédéformés, Journal de Mécanique Théorique et Appliquée, Numéro Spécial (1982): 23–44.
BOEHLER, J.P. and SAWCZUK, A., On Yielding of Oriented Solids, Acta Mechanica, 27 (1977): 185–204.
BENEFICE, P. and BOEHLER, J.P., The Applications of Stereophotogrammetry to the Analysis of Displacement Fields in Solid Mechanics, Proc. IUTAM Symposium Optical Methods in Mechanics of Solids, A. LAGARDE ed., Sijthoff and Noordhoff, Alphen aan den Rijn, (1981): 657–668.
BOEHLER, J.P., RACLIN, J. and BENEFICE, P., Etude des Champs Cinématiques Non Homogènes, de l’Ecrouissage et de la Fissuration des Milieux Anisotropes, Rapport Contrat ATP 3669 CNRS, Grenoble (1981).
RACLIN, J., Contributions Théoriques et Expérimentales à l’Etude de la Plasticité, de l’Ecrouissage et de la Rupture des Solides Anisotropes, Thèse de Doctorat es-Sciences, Grenoble, 1984.
BOEHLER, J.P., Anisotropie et Comportement Rhéologique desMatériaux, Conférence Générale, 19ème Colloque du Groupe Français de Rhéologie, Novembre 1984 (in print).
BOEHLER, J.P., EL AOUFI, L. and RACLIN, J., On Experimental Testing Methods for Anisotropic Materials, Res Mechanica (in print).
EL AOUFI, L., Contributions à l’Etude Expérimentale et Numérique du Comportement Mécanique des Matériaux Anisotropes, Thèse de Doctorat de Spécialité, Grenoble, 1984.
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© 1987 Springer-Verlag Wien
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Boehler, J.P. (1987). Anisotropic Hardening of Rolled Sheet-Steel. In: Boehler, J.P. (eds) Applications of Tensor Functions in Solid Mechanics. International Centre for Mechanical Sciences, vol 292. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2810-7_7
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DOI: https://doi.org/10.1007/978-3-7091-2810-7_7
Publisher Name: Springer, Vienna
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