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IssuesArchive of Issues2014-6pp.635-642

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I.N. Borodin and Yu.V. Petrov, "Relaxation Model of Dynamic Plastic Deformation of Materials," Mech. Solids. 49 (6), 635-642 (2014)
Year 2014 Volume 49 Number 6 Pages 635-642
DOI 10.3103/S0025654414060041
Title Relaxation Model of Dynamic Plastic Deformation of Materials
Author(s) I.N. Borodin (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoi pr. 61, St. Petersburg, 199178 Russia, elbor7@gmail.com)
Yu.V. Petrov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoi pr. 61, St. Petersburg, 199178 Russia; St. Petersburg State University, Universitetskii pr. 28, Petergof, St. Petersburg, 198504 Russia, yp@yp1004.spb.edu)
Abstract A version of the metal plasticity relaxation model based on a plasticity integral criterion with the characteristic relaxation time parameter is suggested. The dislocation concepts of metal plasticity together with the Maxwell model for a strongly viscous fluid are used to show that this characteristic relaxation time parameter can be interpreted in terms of dissipation and energy accumulation in the case of mobile dislocations. The coincidence of the values of characteristic plastic relaxation time obtained for various descriptions of the whisker deformation allows one to conclude that the characteristic relaxation time is a basic characteristic of the material dynamic properties.
Keywords plasticity relaxation model, characteristic relaxation time, sharp yield point, whisker, yield point, dislocation
References
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13.  I. N. Borodin, A. E. Mayer, Yu. V. Petrov, and A. A. Gruzdkov, "Relaxation Mechanism of Plastic Deformation and Its Justification by an Example of Sharp Yield Point," Fiz. Tverd. Tela 57, (2014) [Phys. Solid State (Engl. Transl.)].
14.  V. S. Krasnikov, A. E. Mayer and A. P. Yalovets, "Dislocation Based High-Rate Plasticity Model and Its Application to Plate-Impact and Ultra Short Electron Irradiation Simulations," Int. J. Plasticity 27 (8), 1294-1308 (2011).
15.  A. E. Mayer, K. V. Khishchenko, P. R. Levashov, and P. N. Mayer, "Modeling of Plasticity and Fracture of Metals at Shock Loading," J. Appl. Phys. 113, 193508 (2013).
16.  A. E. Dudorov and A. E. Mayer, "Equations of Dislocation Dynamics and Kinetics is High-Rate Plastic Deformation," Vestnik Chelyabinsk Gos. Univ. 39 (254), No. 12, 48-56 (2011).
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Received 05 August 2014
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