Relation of the Lattice and Deformation Characteristics at Plastic Flow of Metals
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Russian Physics Journal, Vol. 63, No. 5, September, 2020 (Russian Original No. 5, May, 2020)
RELATION OF THE LATTICE AND DEFORMATION CHARACTERISTICS AT PLASTIC FLOW OF METALS L. B. Zuev, S. V. Kolosov, and M. V. Nadezhkin
UDC 669.539.381.296
A new approach is suggested for explanation of autowave processes during plastic deformation of metals. It is based on the postulate that a quasiparticle corresponds to a localized flow autowave. Characteristics of the quasiparticle are determined, and a number of consequences from the postulate are considered. The relations have been established for the processes on micro- and macro-level in the course of plastic deformation. Keywords: lattice, deformation, localization, autowaves, self-organization, quasiparticles.
INTRODUCTION The problem of interpretation of experimental data on the macroscopic character of the plastic flow [1] is complex enough and is still far from final solution. However, it is absolutely clear that the plastic flow tends to localization at all stages of the process, starting from the yield point and finishing by failure. By the present time, phenomenology of the localization process has already been elucidated, and the conditions necessary for its origin and patterns of its development have been established. The thought became natural that the localization is a typical example of the self-organization in the course of plastic flow if the term self-organization is used in the sense proposed by Haken [2] who pointed out that the system is called self-organizing if it acquires a spatial, temporal, or functional structure without a specific external influence. The plastic flow localization has an autowave character clearly pronounced at the stage of linear work hardening when the localization pattern acquires the form of a phase autowave. It is convenient to characterize this autowave by the length λ and the propagation velocity Vaw [3] (Fig. 1). The technique of double-exposure speckle photography developed specially to visualize localized plasticity centers and to measure the length and the velocity of autowave propagation has allowed a large volume of data on deformation of nineteen different metals to be accumulated by the present time.
1. CHARACTER OF PLASTIC FLOW MACROLOCALIZATION As a variant of description of the autowave character of plastic flow localization in deformable media considered here, of principal importance is the idea proposed by J. P. Billingsley [4] who first used the de Broglie equation for localized plastic strain autowaves ( h mV , where h is Planck’s constant) and established that the calculated mass m h V correlates with the atomic mass Am of the metal under study. The legitimacy of such approach was confirmed by the fact established in [5] that the quadratic dispersion relation for the localized plastic strain autowaves 0 k k0 formally coincides with the dispersion relation for the de Broglie equation for 2
Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Acad
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