Abstract
Propagation velocity and dispersion of autowaves of localized plastic deformation have been considered at the stages of easy slip and linear strain hardening in some pure metals and alloys. The quadratic form of the dispersion relation and the dependences of the phase and group velocities of autowaves on the wave number have been found and explained. The relationship between the characteristics of the autowaves of localized plastic flow and the parameters of elastic waves in materials has been established. A quantity that is invariant for the processes of elastic and plastic deformation. The change in the entropy of the system upon the generation of autowaves of localized plastic flow has been estimated.
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References
L. B. Zuev, V. I. Danilov, and S. A. Barannikova, Physics of Macrolocalization of Plastic Flow (Nauka, Novosibirsk, 2008) [in Russian].
V. P. Zemskov and A. Yu. Loskutov, “Oscillatory Traveling Waves in Excitable Media,” Zh. Eksp. Teor. Fiz. 134(2(8)), 406–412 (2008) [J. Exper. Theor. Phys. 108 (2), 344–349 (2008)].
L. B. Zuev, V. I. Danilov, S.A. Barannikova, and V. V. Gorbatenko, “Autowave Model of Localized Plastic Flow of Solids,” Phys. Wave Phenom. 16(1), 65–75 (2009).
E. C. Aifantis, “Pattern Formation in Plasticity,” Int. J. Eng. Sci. 33(15), 2161–2178 (1995).
E. C. Aifantis, Gradient Plasticity. Handbook of Materials Behavior Models (Academic, New York, 2001), pp. 291–307.
H. Haken, Information and Self-Organization (Springer, Berlin, 2006; Mir, Moscow, 1991).
L. B. Zuev, “Wave Phenomena in Low-Rate Plastic Flow in Solids,” Ann. Phys. (New York) 10(11–12), 956–984 (2001).
L. B. Zuev, “On the Waves of Plastic Flow Localization in Pure Metals and Alloys,” Ann. Phys. (New York) 16(4), 286–310 (2007).
L. B. Zuev and V. I. Danilov, “A Self-Excited Wave Model of Plastic Deformation in Solids,” Philos. Mag. A 79(1), 43–57 (1999).
L. B. Zuev, V. V. Gorbatenko, and S. N. Polyakov, “Instrumentation for Speckle Interferometry and Techniques for Investigating Deformation and Fracture,” Proc. SPIE 4900(2), 1197–1207 (2002).
R. Hill, Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1950; GITTL, Moscow, 1956).
L. I. Mirkin, Handbook of X-ray Analysis of Polycrystalline Materials (GIFML, Moscow, 1961; Consultants Bureau, New York, 1964).
O. Anderson, “Determination and Some Applications of Isotropic Elastic Constants for Polycrystalline Systems Obtained from Data for Single Crystals,” in Physical Acoustics. Principles and Methods, Ed. by W. Mason, Vol. 3, Pt. B: Lattice Dynamics (Academic, New York, 1965; Mir, Moscow, 1968).
A. M. Kosevich and A. S. Kovalev, Introduction to Nonlinear Physical Mechanics (Naukova Dumka, Kiev, 1989) [in Russian].
A. C. Scott, Nonlinear Science: Emergence and Dynamics of Coherent Structures (Oxford University, Oxford, 2003; Fizmatlit, Moscow, 2007).
N. Ashkroft and N. Mermin, Solid State Physics (Harcourt, New York, 1976; Mir, Moscow, 1979).
L. M. Shestopalov, Deformation of Metals and Plasticity Waves in Them (Akad. Nauk SSSR, Moscow, 1958) [in Russian].
V. L. Indenbom, A. N. Orlov, and Yu. Z. Estrin, “Thermoactivation Analysis of Plastic Deformation,” in Elementary Processes of Plastic Deformation of Crystals, (Naukova Dumka, Kiev, 1978), pp. 93–113 [in Russian].
R. White and T. Geballe, Long Range Order in Solids (Academic, New York, 1979; Mir, Moscow, 1982).
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Original Russian Text © L.B. Zuev, S.A. Barannikova, 2011, published in Fizika Metallov i Metallovedenie, 2011, Vol. 112, No. 2, pp. 115–123.
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Zuev, L.B., Barannikova, S.A. Autowaves of localized plastic flow, velocity of propagation, dispersion, and entropy. Phys. Metals Metallogr. 112, 109–116 (2011). https://doi.org/10.1134/S0031918X11020293
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DOI: https://doi.org/10.1134/S0031918X11020293