Abstract
Determinative equations of the plasticity theory are proposed to describe some complex deformation processes along the three-dimensional trajectories of small torsion and arbitrary curvature. Methods of concretization have been developed for the scalar functions. Assumptions and hypotheses obtained for determinative equations, ways of scalar function concretization, and determinative equations themselves have been experimentally substantiated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. A. Ilyushin,Plasticity. Fundamentals of a General Mathematical Theory [in Russian], Izd. AN SSSR, Moscow (1963).
V. S. Lenskii and é. V. Lenskii, “Trinomial relation of general plasticity theory,”Izv. Akad. Nauk SSSR, Mekhan. Tverd. Tela, No. 4, 111–115 (1985).
Yu. N. Shevchenko, M. E. Babeshko, and R. G. Terekhov,Thermoviscoelastoplastic Processes of the Complex Deformation of Structural Elements [in Russian], Naukova Dumka, Kiev (1992).
Yu. N. Shevchenko and R. G. Terekhov,Physical Equations of Thermoviscoplasticity [in Russian], Naukova Dumka, Kiev (1982).
Yu. N. Shevchenko, R. G. Terekhov, N. S. Braikovskaya, and N. N. Tormakhov, “Applicability of the relations of the theory of elastoplastic flow to describing the loading of a solid over a three-dimensional trajectory with orthogonal components,”Prikl. Mekh.,31, No. 8, 3–10 (1995).
Author information
Authors and Affiliations
Additional information
Translated from Prikladnaya Mekhanika, Vol. 34, No. 12, pp. 16–25, December, 1998.
Rights and permissions
About this article
Cite this article
Shevchenko, Y.N., Terekhov, R.G., Braikovskaya, N.S. et al. Complex loading beyond the elastic limit on three-dimensional trajectories. Int Appl Mech 34, 1187–1195 (1998). https://doi.org/10.1007/BF02700872
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02700872