Abstract
The processes of the superlocalization of plastic deformation in L12 alloys have been studied numerically based on a combination of the model of the dislocation kinetics of the deformation-induced and heat-treatment-induced strengthening of an element of a deformable medium with the model of the mechanics of microplastic deformation described in terms of elastoplastic medium. It has been shown that the superlocalization of plastic deformation is determined by the presence of stress concentrators and by the nonmonotonic strengthening of the elements of the deformable medium. The multiple nonmonotonicity of the process of strengthening of the elementary volume of the medium can be responsible for the multiplicity of bands of microplastic localization of deformation.
Similar content being viewed by others
References
V. A. Likhachev, V. E. Panin, E. E. Zasimchuk, V. I. Vladimirov, A. E. Romanov, V. V. Gorskii, S. I. Selitser, S. A. Firstov, and K. P. Ryabopashka, Cooperative Deformation Processes and Localization of Deformation (Naukova Dumka, Kiev, 1989) [in Russian].
S. N. Kolupaeva, V. A. Starenchenko, and L. E. Popov, Instabilities of Plastic Deformation of Crystals (Tomsk. Univ., Tomsk, 1994) [in Russian].
L. E. Popov, V. A. Starenchenko, and S. N. Kolupaeva, “Instabilities of crystal plastic deformation and formation of dislocation defect structures,” Vestn. Perm. Nats. Issled. Politekh. Univ. Mekhanika, No. 3, 77–87 (1995).
D. V. Lychagin, V. A. Starenchenko, R. V. Shaekhov, N. A. Koneva, and E. V. Kozlov, “Evolution of deformation in nickel single crystals with the compression axis orientation [001] and lateral faces {110},” Fiz. Mezomekh. 8, 39–48 (2005).
Yu. V. Solov’eva, V. A. Starenchenko, B. I. Burtsev, M. V. Gettinger, and T. A. Kovalevskaya, “High-temperature superlocalization of plastic deformation in Ni3Ge intermetallic single crystals,” Bull. Russ. Acad. Sci.: Phys. 70, 1929–1931 (2006).
Yu. V. Solov’eva, M. V. Gettinger, S. V. Starenchenko, and V. A. Starenchenko “The creep behavior of single-crystalline Ni3Ge alloys,” Russ. Phys. J. 52, 390–397 (2009).
V. A. Starenchenko, Yu. V. Solov’eva, Ya. D. Fakhrutdinova, and L. A. Valuiskaya, “Superlocalization of deformation in Ni3Ge single crystals with the L12 superstructure,” Russ. Phys. J. 55, 69–83 (2012).
V. A. Starenchenko, O. D. Pantyukhova, D. N. Cherepanov, Yu. V. Solov’eva, S. V. Starenchenko, and M. I. Slobodskoi, Models of Plastic Deformation of Materials with fcc-Structure (Izd-vo NTL, Tomsk, 2011) [in Russian].
V. A. Starenchenko, Yu. V. Solov’eva, Yu. A. Abzaev, V. I. Nikolaev, and V. V. Shpeizman, “Accumulation of dislocations and thermal strengthening of alloys having an L12 superstructure,” Phys. Solid State 41, 407–412 (1999).
N. N. Belov, N. T. Yugov, D. G. Kopanitsa, and A. A. Yugov, Dynamics of High-Speed Impact and Attendant Physical Phenomena (Izd-vo STT, Northampton-Tomsk, 2005) [in Russian].
V. A. Starenchenko, Yu. V. Solov’eva, Ya. D. Fakhrutdinova, and L. A. Valuiskaya, “Model of macroscopic strain localization in alloys with L12 structure,” Russ. Phys. J. 54, 885–897 (2011).
L. I. Sedov, Mechanics of Continuous Media, Vol. 1–2 (Nauka, Moscow, 1973)[in Russian].
N. N. Belov, V. N. Demidov, and L. V. Efremova, “Computer simulation of high-speed impact and accompanying physical phenomena,” Izv. Vyssh. Uchebn. Zaved., Fiz. 35, 5–48 (1992).
N. N. Belov, O. V. Kabantsev, D. G. Kopanitsa, and N. T. Yugov, Calculation-Experimental Method of Analysis of Dynamic Strength of Ferroconcrete-Construction Elements (Izd-vo STT, Tomsk, 2008) [in Russian].
A. A. Pozdeev, P. V. Trusov, and Yu. I. Nyashin, Large Elastic-Plastic Deformations: Theory, Algorithms, Applications (Nauka, Moscow, 1986) [in Russian].
Zel’dovich, Ya.B. and Raizer, Yu.P., Physics of Shock Waves and of High-Temperature Hydrodynamic Phenomena (Nauka, Moscow, 1966) [in Russian].
V. N. Zharkov and V. A. Kalinin, Equations of State of Solids at High Pressures and Temperatures (Nauka, Moscow, 1968) [in Russian].
R. McQueen, S. Marsh, J. Teilor, J. Fritts, and W. Carter, “Ch. VII. The Equation of State of Solids from Shock Wave Studies,” in High-Velocity Impact Phenomena, Ed. by R. Kingslow (Academic, New York, 1970; Mir, Moscow, 1973).
M. L. Wilkins, “Calculation of elastic-plastic flows,” in Methods in Computational Physics. Advances in Research and Applications. Vol. 3, Fundamental Methods in Hydrodynamics, Ed. by B. Alder, S. Fernbach, and M. Rotenberg (Academic, New York, 1964; Mir, Moscow, 1967).
J. Mainchen and S. Sak, “Calculation method “Tenzor”,” in Methods in Computational Physics. Advances in Research and Applications. Vol. 3, Fundamental Methods in Hydrodynamics, Ed. by B. Alder, S. Fernbach, and M. Rotenberg (Academic, New York, 1964; Mir, Moscow, 1967).
N. T. Yugov, N. N. Belov, and A. A. Yugov, “Calculation of adiabatic nonstationary flows in the three-dimensional formulation (RANET-3),” Program package for EVM, Federal sluzba po intellektual’noi sobstvennosti, patentam i tovarnym znakam. Sertificate on State Registration of the Program for EVM no. 2010611042 (2010).
N. N. Belov, D. G. Kopanitsa, and N. T. Yugov, Mathematical Simulation of Dynamic Strength of Structural Materials. Vol. 3. Physics of Shock Waves. Dynamical Destruction of Solids (Izd-vo STT, Tomsk, 2008) [in Russian].
N. N. Belov, L. A. Valuiskaya, V. A. Starenchenko, and N. T. Yugov, “The computer simulation of the dynamics of uniaxial tension and compression of cylindrical rods made of the Ni3Fe alloy,” Mekh. Kompozit. Mater. Konstr. 14, 419–429 (2008).
J. T. Oden, Finite Elements of Nonlinear Continua (McGraw-Hill, New York, 1972; Dover, Mineola, N.Y., 2006; Mir, Moscow, 1976).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Yu.V. Solov’eva, Ya.D. Fakhrutdinova, V.A. Starenchenko, 2015, published in Fizika Metallov i Metallovedenie, 2015, Vol. 116, No. 1, pp. 12–20.
Rights and permissions
About this article
Cite this article
Solov’eva, Y.V., Fakhrutdinova, Y.D. & Starenchenko, V.A. Simulation of high-temperature superlocalization of plastic deformation in single-crystals of alloys with an L12 superstructure. Phys. Metals Metallogr. 116, 10–18 (2015). https://doi.org/10.1134/S0031918X15010111
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0031918X15010111