Abstract—
Based on the analysis of the results of experimental studies of 12Х18Н10Т stainless steel specimens under a rigid (controlled deformation) process of deformation, which includes a sequence of monotonic and cyclic loading modes, some features and differences in isotropic and anisotropic hardening processes under monotonic and cyclic loading are revealed. To describe these features within the framework of the theory of plasticity in the space of the plastic strain tensor, a criterion for changing the direction of plastic deformation and a memory surface are introduced, which made it possible to separate the processes of monotonic and cyclic deformation. To describe the transient processes, evolutionary equations are formulated for the parameters of isotropic and anisotropic hardening. The calculated and experimental changes in the stress-strain states are compared for the process of monotonic and cyclic loading.
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REFERENCES
V. S. Bondar, Inelasticity. Variants of the Theory (Begell House, New York, 2013).
I. A. Volkov and Yu. G. Korotkih, The Equation of State Viscous Elastoplastic Media with Injuries (Fizmatlit, Moscow, 2008) [in Russian].
F. M. Mitenkov, I. A. Volkov, L. A. Igumnov, et al., Applied Theory of Plasticity (Fizmatlit, Moscow, 2015) [in Russian].
I. A. Volkov, L. A. Igumnov, and Yu. G. Korotkikh, Applied Theory of Viscoplasticity (Nizhn. Novgorod Gos. Univ., Nizhny Novgorod, 2015) [in Russian].
S. A. Kapustin, Yu. A. Churilov, and V. A. Gorokhov, Modeling Nonlinear Deformation and Destruction of Structures in Multivariate Influences on the Basis of FEM (Nizhn. Novgorod. Gos. Univ., Nizhny Novgorod, 2015) [in Russian].
J. Besson, G. Cailletaud, J.-L. Chaboche, et al., Nonlinear Mechanics of Materials (Springer, 2010).
J.- L. Chaboche, “A review of some plasticity and viscoplasticity constitutive theories,” Int. J. Plast. 24, 1642–1692 (2008).
J.-L. Chaboche, P. Kanoute, and F. Azzouz, “Cyclic inelastic constitutive equations and their impact on the fatigue life predictions,” Int. J. Plast. 35, 44–66 (2012).
V. S. Bondar, V. V. Danshin, L. D. Vu, and N. D. Duc, “ Constitutive modeling of cyclic plasticity deformation and low-high-cycle fatigue of stainless steel 304 in uniaxial stress state,” Mech. Adv. Mater. Struct. 25 (12), 1009–1017 (2018). https://doi.org/10.1080/15376494.2017.1342882
V. S. Bondar, D. R. Abashev, and V. K. Petrov, “Comparative analysis of variants of plasticity theories under cyclic loading,” Vestn. PNIPU. Mekh., No. 2, 23–44 (2017).
Y. G. Korotkikh, “A description of the processes of accumulation of damages of a material in nonisothermal viscoplastic deformation,” Strength. Mater. 17, 21–26 (1985). https://doi.org/10.1007/BF01532772
I. A. Volkov, L. A. Igumnov, I. S. Tarasov, et al., “Modeling fatigue life of polycrystalline structural alloys under block-type nonsymmetrical low-cycle loading,” Probl. Prochn. Plast., No. 1, 15–30 (2018).
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Translated by I. K. Katuev
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Abashev, D.R., Bondar, V.S. Modified Theory of Plasticity for Monotonic and Cyclic Deformation Processes. Mech. Solids 56, 4–12 (2021). https://doi.org/10.3103/S0025654421010027
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DOI: https://doi.org/10.3103/S0025654421010027