Abstract
An interpretation of the nature of the relation between elastic and plastic strains, called the elastic–plastic strain invariant, is proposed which takes into account the change in the entropy of the system during autowave generation at the stage of linear strain hardening. It is shown that this approach consistently explains the nature of the invariant and its role in the description of plasticity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. B. Zuev, V. I. Danilov, and S. A. Barannikova, Physics of Macrolocalization of Plastic Flow (Nauka, Novosibirsk, 2008) [in Russian].
V. I. Nekorkin and V. B. Kazantsev, “Autowaves and Solitons in a Three-Component Reaction-Diffusion System,” Int. J. Bifurcat. Chaos 12 (11), 2421–2434 (2002).
V. A. Davydov, N. V. Davydov, V. G. Morozov, et al., “Autowaves in the Moving Excitable Media,” Condensed. Matter Phys. 7 (3), 565–578 (2004).
S. A. Barannikova, M. V. Nadezhkin, and L. B. Zuev, “Relationship between Burgers Vectors of Dislocations and Plastic Strain Localization Patterns in Compression-Strained Alkali Halide Crystals,” Pis’ma Zh. Tekh. Fiz. 37 (16), 15–21 (2011).
L. B. Zuev, S. A. Barannikova, M. V. Nadezhkin, and V. V. Gorbatenko, “Localization of Deformation and Prognostibility of Rock Failure,” Fiz.-Tekh. Probl. Razrab. Polezn. Izkop., No. 1, 49–56 (2014).
K. Otsuka, K. Shimizu, “Pseudoelasticity and Shape Effects in Alloys,” Int. Metals Rev. 31 (3), 93–114 (1986).
V. F. Kurilov, L. B. Zuev, V. E. Gromov, et al., “Dynamic Deceleration of Dislocations in NaCl Crystals of Different Purity,” Kristallografiya 22 (3), 653–654 (1977).
E. V. Darinskaya, A. A. Urusovskaya, V. F. Opekunov, et al., “Study of Viscous Deceleration of Dislocations in LiF Crystals Based on the Mobility of Individual Dislocations,” Fiz. Tverd. Tela 20 (4), 1250–1252 (1978).
E. V. Darinskaya and A. A. Urusovskaya, “Viscous Deceleration of Dislocations in CsI Crystals at a Temperature of 77–300 K,” Fiz. Tverd. Tela 17 (8), 2421–2422 (1975).
L. B. Zuev, V. E. Gromov, and O. I. Aleksankina, “Dependence of Dislocation Velocity on Electric Field Intensity,” Kristallografiya 19 (4), 889–891 (1974).
L. B. Zuev, V. E. Gromov, V. F. Kurilov, and L. I. Gurevich, “Mobility of Dislocations in Zinc Single Crystals under the Action of Current Pulses,” Dokl. Akad. Nauk SSSR 239 (1), 874–876 (1978).
T. Suzuki, H. Yoshinaga, and S. Takeuchi, Dislocation Dynamics and Plasticity (Syokabo, Tokyo, 1986).
D. Hudson, Statistics (Geneva, 1964).
L. B. Zuev, “Elastic–Plastic Invariant Relation for Deformation of Solids,” Prikl. Mekh. Tekh. Fiz. 54 (1), 125–133 (2013) [J. Appl. Mech. Tech. Phys. 54 (1), 108–115 (2013)].
A. Seeger and W. Frank, “Structure Formation by Dissipative Processes in Crystals with High Defect Densities,” in Non-Linear Phenomena in Material Science (Trans. Tech. Publ., New York, 1987), pp. 125–138.
J. S. Langer, E. Bouchbinder, and T. Lookman, “Thermodynamic Theory of Dislocation-Mediated Plasticity,” Acta Mater. 58 (10), 3718–3732 (2010).
A. Ishii, Yu Li, and S. Ogata, “Shuffling-Controlled versus Strain-Controlled Deformation Twinning: The Case for HCP Mg Twin Nucleation,” Int. J. Plasticity 82 (1), 32–43 (2016).
Yu. L. Klimontovich, Introduction to the Physics of Open Systems (Yanus-K, Moscow, 2002) [in Russian].
L. B. Zuev, “Entropy of Waves of Localized Plastic Deformation,” Pis’ma Zh. Tekh. Fiz. 31 (3), 1–4 (2005).
J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, 1957).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1987; Pergamon Press, 1980).
Yu. B. Rumer and M. Sh. Ryvkin, Thermodynamics and Statistical Physics (Novosibirsk State University, Novosibirsk, 2000) [in Russian].
L. B. Zuev, “Macroscopic Physics of Plastic Deformation of Metals,” Usp. Fiz. Metal. 16 (1), 35–60 (2015).
V. L. Gilyarov and A. I. Slutsker, “Energy Analysis of a Loaded Quantum Anharmonic Oscillator in a Wide Temperature Range,” Zh. Tekh. Fiz. 80 (5), 94–99 (2010).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © L.B. Zuev, A.G. Lunev, O.S. Staskevich.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 6, pp. 135–142, November–December, 2018.
Rights and permissions
About this article
Cite this article
Zuev, L.B., Lunev, A.G. & Staskevich, O.S. Entropy Interpretation of the Elastic–Plastic Strain Invariant. J Appl Mech Tech Phy 59, 1078–1084 (2018). https://doi.org/10.1134/S0021894418060135
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894418060135