The Bodner–Partom model is modified to describe such features of deformation as nonmonotonic dependence of hardening rate on stored plastic strain. This effect is allowed for by representing the hardening rate, which is a constant in the Bodner–Partom model, as a functional of plastic strain and plastic work. The Bodner–Partom parameters are found for some low-alloyed steels. The experimental and calculated data are in satisfactory agreement. The uniaxial deformation model is generalized to the case of multiaxial deformation
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. M. Rajendran, S. J. Bless, and D. S. Dawicke, “Evaluation of Bodner–Partom model parameters at high strain rate,” J. Eng. Mater. Technol., 108, 75–80 (1986).
N. I. Bezukhov, V. L. Bazhanov, I. I. Gol’denblat, N. A. Nikolaenko, and A. M. Sinyukov, Strength, Stability, and Vibration Analyses at High Temperatures [in Russian], Mashinostroenie, Moscow (1965).
I. K. Senchenkov, Ya. A. Zhuk, and G. A. Tabieva, “Thermodynamically consistent modifications of generalized theories of thermoviscoplasticity,” Int. Appl. Mech., 34, No. 4, 345–351 (1998).
I. K. Senchenkov and G. A. Tabieva, “Determination of the parameters of the Bodner–Partom model for thermoviscoplastic deformation of materials,” Int. Appl. Mech., 32, No. 2, 132–139 (1996).
S. R. Bodner, “Constitutive equations for dynamic material behavior,” in: U. Lindholm (ed.), Mechanical Behavior of Materials under Dynamic Loads, Springer-Verlag, New York (1968), pp. 176–199.
S. R. Bodner and A. M. Merzer, “Viscoplastic constitutive equation for cooper with strain rate history and temperature effects,” J. Eng. Mater. Technol., 100, 388–394 (1978).
S. R. Bodner, M. Naveh, and A. M. Merzer, “Deformation and buckling of axisymmetric viscoplastic shells under thermomechanical loading,” Int. J. Solids Struct., 27, 915–924 (1991).
S. R. Bodner, I. Partom, and Y. Partom, “Uniaxial cyclic loading of elastic-viscoplastic material,” ASME, J. Appl. Mech., 46, 805–810 (1979).
K. S. Chan, S. R. Bodner, and U. S. Lindholm, “Phenomenological modeling of hardening and thermal recovery in metals,” J. Eng. Mater. Technol., 110, 1–8 (1988).
E. Krempl, “Viscoplastic models for high temperature applications,” Int. J. Solids Struct., 37, 279–291 (2000).
V. Moreno and E. H. Jordan, “Prediction of material thermomechanical response with a unified viscoplastic constitutive model,” Int. J. Plasticity, 2, 223–245 (1986).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 48, No. 5, pp. 132–137, September–October 2012.
Rights and permissions
About this article
Cite this article
Shevchenko, A.Y., Banyas, M.V. & Senchenkov, I.K. A variant of the equations of nonisothermal plastic flow. Int Appl Mech 48, 602–607 (2012). https://doi.org/10.1007/s10778-012-0542-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-012-0542-x