Summary
A new procedure for the determination of the yield loci of prestressed materials is suggested. This procedure is based on the hypothesis of different isotropy center translations of the two stress deviator invariants. It also is based on the assumption that the yield loci equations are expressed by means of functions defined over the stress space which depend a) on the values of the translated invariants, calculated for the given stress tensor, and b) on the orientation in the stress space of the plane defined by the preloading tensor and the given stress tensor.
Übersicht
Zur Beschreibung der Fließkurve vorgedehnten Materials wird ein Gesetz vorgeschlagen, welches auf der Annahme unterschiedlicher Verschiebungen der Isotropiezentren der beiden Invarianten des Spannungs deviators basiert. Darüber hinaus wird die Fließkurvengleichung vom Deviator der Vorspannung und der Orientierung von Vorspannung und aktueller Spannung bestimmt.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Edelman, F.; Drucker, D. C.: Some extensions to elementary plasticity theory. J. Franklin Inst. 251 (1951) 581–605
Shahabi, S. N.; Shelton, A.: The anisotropic yield flow and creep behaviour of prestrained En24-steel. J. Mech. Eng. Sci. 17 (1975) 82–92
Shiratori, E.; Ikegami, K.; Kaneko, K.: Subsequent yield surface determined in consideration of the Bauschinger effect. In Foundation of Plasticity. Leiden: Nordhoff Int. Publ. 1973
Ikegami, K.: Experimental plasticity on the anisotropy of metals. Colloques internationaux du CNRS No. 295 - Comportement mécanique des solides anisotropes, Coll. 115, Villard de Lans 1979, (ed. J.-P. Boehler) Ed. CNRS Paris (1982) 201–242
Haythornwaite, R. M.: A more rational approach to strain-hardening data. In Engineering Plasticity, Ed. J. Heyman and E. A. Leckie. Cambridge at the University Press 1968
Gupta, N. K.; Lauert, H.-A.: A study of yield surface upon reversal of loading under biaxial stress. To be publ. in ZAMM
Rees, D. W. A.: The theory of scalar plastic deformation functions. ZAMM 63 (1983) 217–228
Phillips, A.; Tang, J. L.: The effect of loading path on the yield surface at elevated temperatures. Int. J. Solids Struct. 8 (1972) 463–474
Sayir, M.: Zur Fließbedingung der Plastizitätstheorie. Ing. Arch. 39 (1970) 414–432
Lehmann, Th.: Zu einigen nicht-linearen Stoffgesetzen für plastische Formänderungen. Rheol. Acta 11 (1972) 4–12
Betten, J.: Plastische Anisotropie und Bauschinger-Effekt; allgemeine Formulierung und Vergleich mit experimentell ermittelten Fließortkurven. Acta Mech. 25 (1976) 79–84
Betten, J.: Über die Konvexität von Fließkörpern isotroper und anisotroper Stoffe. Acta Mech. 32 (1979) 233–247
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mazilu, P., Meyers, A. Yield surface description of isotropic materials after cold prestrain. Ing. arch 55, 213–220 (1985). https://doi.org/10.1007/BF00536415
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00536415