Abstract
Mathematical models of serrated plastic deformation in metals at ultra-low temperatures are developed. In the framework of the dislocation model, the instability of the plastic flow is shown to be caused by the relay mechanism of overcoming barriers (sub-boundaries, grain boundaries, etc.) by dislocation clusters. Regularities of localization of plastic deformation in alloys are described on the base of the model of interaction of dislocations with point defects. Within the scope of the thermodynamic model, it has been analytically and numerically established that in the range of helium temperatures, a change in the deforming stress, temperature, and plastic strain rate acquires an irregular stochastic nature. The obtained results are in good agreement with experimental data and can be used to construct the theory of plastic deformation of structural metals and alloys in the region of extremely low temperatures.
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References
Argon, A.S.: Strain avalanches in plasticity. Philos. Magazine. 93, 3795–3808 (2013)
Ashby, M.F.: The deformation of plastically non-homogeneous materials. Philos. Magazine. 21, 399–424 (1970)
Basinski, Z.S.: The instability of plastic flow of metals at very low temperatures. Proc. Roy. Soc. 240A, 2299–2309 (1957)
Dimiduk, D.M., Woodward, C., LeSar, R., Uchic, M.D.: Scale-free intermittent flow in crystal plasticity. Science 312, 1188–1190 (2006)
Estrin,Y., Kubin, L.P.: Micro- and macroscopic aspects of unstable plastic flow. Phase Transform. 185–202, London (1986)
Haken, H.: Pattern formation and chaos in synergetic system. Phys. Scr. 9, 111–118 (1985)
Kubin, L.P., Estrin, Y.: Thermal effects in low-temperature deformation. Cryst. Res. Technol. 19, 853–862 (1984)
Kubin, L.P., Estrin, Y.: Strain nonunifomities and plastic instabilities. Rev. Phys. Appl. 28, 573–583 (1988)
Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Pergamon Press, London (1960)
Landau, L.D., Lifshitz, E.M.: Theory of Elasticity. Pergamon Press, London (1981)
Lebyodkin, M.A., Dunin-Barkovskii, L.R., Bobrov, V.S., Grцger, V.: Statistical aspects of low temperature discontinuous deformation. Scripta Metall. et Mater. 33, 773–780 (1995)
Luft, A., Richter, J., Schlaubitz, K.: Work softening and microstructural instability of predeformed molybdenum single crystals. Mater. Sci. Eng. 20, 113–122 (1975)
Malashenko, V.V.: Influence of collective effects on the dynamic behavior of a single edge dislocation in a crystal with point defects. Phys. Solid State 49, 82–86 (2007)
Malashenko, V.V.: Dynamic instability of dislocation motion at high-strain-rate deformation of crystals with high concentration of point defects. Phys. Solid State 57, 2461–2463 (2015)
Malygin, G.A.: The low-temperature instability of plastic flow. Phys. Stat. Sol. (b) 61, 445–448 (1974)
Malygin, G.A.: Analysis of discontinuous-deformation parameters of metals at low temperatures. Phys. Metals Metallography. 81, 235–245 (1996)
Ogata, T., Ishikava, K., Hiraga, K., Nagai, K., Yuri, T.: Temperature rise during the tensile test in superfluid helium. Cryogenics 25, 444–446 (1985)
Ott, E.: Strange attractors and chaotic motions of dynamical systems. Rev. Mod. Phys. 83, 655–671 (1981)
Petukhov, B.V., Estrin, Y.Z.: Criterion of instability of a thermally activated plastic deformation. Solid State Phys. (A) 17, 2041–2044 (1975)
Pustovalov, V.V.: Effect of superconducting transition on the low-temperature jumplike deformation of metals and alloys. Low Temp. Phys. 26, 375–390 (2000)
Pustovalov, V.V.: Serrated Deformation of Metals and Alloys at Low Temperatures. Low Temperature Physics. 34, 683–723 (2008)
Rybin, V.V.: Regularities of mesostructures development in metals in the course of plastic deformation. Probl. Mater. Sci. 33, 9–28 (2003)
Sarafanov, G.F.: On the theory of dislocation patterning: evolution of an ensemble of screw and edge dislocations. Phys. Met. Metall. 85, 276–281 (1998)
Sarafanov, G.F., Maksimov, I.L.: Dislocation pattern formation in the course of plastic deformation. Met. Mater. 5, 323–327 (1999)
Zaiser, M.: Spatio—temporal aspects of low—temperature thermomechanical instabilities: A model based dislocation dynamics. Appl. Phys. A 57, 143–151 (1993)
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The research was carried out within the Russian state task for fundamental scientific research for 2019-2022 (the topic No. 0035-2019-0026, the state registration No. 01201458049) and under the financial support of the Russian Foundation for Basic Research (projects No 18-02-00444-a).
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Sarafanov, G.F., Sarafanov, F.G., Pavlov, I.S. (2021). Instability of Plastic Deformation in Metals at Low Temperatures. In: Altenbach, H., Eremeyev, V.A., Igumnov, L.A. (eds) Multiscale Solid Mechanics. Advanced Structured Materials, vol 141. Springer, Cham. https://doi.org/10.1007/978-3-030-54928-2_31
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DOI: https://doi.org/10.1007/978-3-030-54928-2_31
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