scholarly journals Quasi-Particle Approach to the Autowave Physics of Metal Plasticity

Metals ◽  
2020 ◽  
Vol 10 (11) ◽  
pp. 1446
Author(s):  
Lev B. Zuev ◽  
Svetlana A. Barannikova
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Flow Localization ◽  
Quasi Particle ◽  
Metal Plasticity ◽  
Autowave Process ◽  
Plastic Flow Localization ◽  
Localization Of Plastic Deformation ◽  
Particle Approach

This paper is the first attempt to use the quasi-particle representations in plasticity physics. The de Broglie equation is applied to the analysis of autowave processes of localized plastic flow in various metals. The possibilities and perspectives of such approach are discussed. It is found that the localization of plastic deformation can be conveniently addressed by invoking a hypothetical quasi-particle conjugated with the autowave process of flow localization. The mass of the quasi-particle and the area of its localization have been defined. The probable properties of the quasi-particle have been estimated. Taking the quasi-particle approach, the characteristics of the plastic flow localization process are considered herein.

scholarly journals Autowave Mechanics of Plastic Flow

2020 ◽  
pp. 245-274
Author(s):  
Lev B. Zuev
Keyword(s):  
Plastic Flow ◽  
Flow Localization ◽  
Quasi Particle ◽  
Plastic Properties ◽  
Plastic Flow Localization ◽  
Autowave Propagation ◽  
Strain Invariant ◽  
Deformation Hardening ◽  
Set Up ◽  
Flow Stage

AbstractThe notions of plastic flow localization are reviewed here. It have been shown that each type of localized plasticity pattern corresponds to a given stage of deformation hardening. In the course of plastic flow development a changeover in the types of localization patterns occurs. The types of localization patterns are limited to a total of four pattern types. A correspondence has been set up between the emergent localization pattern and the respective flow stage. It is found that the localization patterns are manifestations of the autowave nature of plastic flow localization process, with each pattern type corresponding to a definite type of autowave. Propagation velocity, dispersion and grain size dependence of wavelength have been determined experimentally for the phase autowave. An elastic-plastic strain invariant has also been introduced to relate the elastic and plastic properties of the deforming medium. It is found that the autowave’s characteristics follow directly from the latter invariant. A hypothetic quasi-particle has been introduced which correlates with the localized plasticity autowave; the probable properties of the quasi-particle have been estimated. Taking the quasi-particle approach, the characteristics of the plastic flow localization process are considered herein.

scholarly journals Autowave process of plastic flow localization

2020 ◽  
Vol 1527 ◽  
pp. 012026
Author(s):  
L B Zuev ◽  
S A Barannikova ◽  
A M Zharmukhambetova
Keyword(s):  
Plastic Flow ◽  
Flow Localization ◽  
Autowave Process ◽  
Plastic Flow Localization

scholarly journals Plasticity: from Crystal Lattice to Macroscopic Phenomena

2021 ◽  
Vol 22 (1) ◽  
pp. 3-57
Author(s):  
L. B. Zuev ◽  
S. A. Barannikova ◽  
V. I. Danilov ◽  
V. V. Gorbatenko
Keyword(s):  
Experimental Investigation ◽  
Plastic Deformation ◽  
Acoustic Emission ◽  
Plastic Flow ◽  
Basic Assumption ◽  
Nonequilibrium Systems ◽  
Flow Localization ◽  
Quasi Particle ◽  
Proposed Model ◽  
Flow Evolution

New representations concerning plasticity physics in crystals are discussed. The model of plastic flow is suggested, which can describe its main regularities. With the use of the experimental investigation, it is shown that the plastic flow localization plays the role in the evolution of plastic deformation. Obtained data are explained with the application of the principles of nonequilibrium-systems’ theory. The quasi-particle is introduced for the description of plasticity phenomenon. It is established the relation between plasticity characteristics of metals and their position in Periodic table of the elements. A new model is elaborated to address localized plastic-flow evolution in solids. The basic assumption of the proposed model is that the elementary plasticity acts evolving in the deforming of medium would generate acoustic emission pulses, which interact with the plasticity carriers and initiate new elementary shears. As found experimentally, the macrolocalization of plastic flow involves a variety of autowave processes. To address the phenomenon of localized plastic-flow autowaves, a new quasi-particle called ‘autolocalizon’ is introduced; the criterion of validity of the concept is assessed.

scholarly journals Autowave nature of plasticity. Scale invariance

2019 ◽  
Vol 221 ◽  
pp. 01019
Author(s):  
Lev Zuev
Keyword(s):  
Work Hardening ◽  
Flow Localization ◽  
Localized Deformation ◽  
Quasi Particle ◽  
Localization Of Plastic Deformation ◽  
Work Hardening Coefficient ◽  
Reciprocal Value ◽  
The Given ◽  
The Waves ◽  
Hardening Coefficient

The generality of localization of plastic deformation, which is observed at the stage of linear work hardening for HCP, BCC and FCC monoand polycrystals of pure metals and alloys, is considered. It was found previously that the motion rate of localized flow autowave is related to the reciprocal value of the work hardening coefficient by a linear law, which is universal in character. This is further substantiated by the results of the given study. The waves of plastic flow localization are found to have dispersion law. It has been established that in order to address the autowave of localized deformation, a quasi-particle may be introduced. The quasi-particle’s characteristics have been defined.

scholarly journals Autowave Physics of Material Plasticity

Crystals ◽  
2019 ◽  
Vol 9 (9) ◽  
pp. 458 ◽  
Author(s):  
Lev B. Zuev ◽  
Svetlana A. Barannikova
Keyword(s):  
Plastic Flow ◽  
Flow Localization ◽  
Plastic Properties ◽  
Plastic Flow Localization ◽  
Flow Development ◽  
Strain Invariant ◽  
Deformation Hardening ◽  
Set Up ◽  
Structure Collapse ◽  
Flow Stage

The notions of plastic flow localization are outlined in the paper. It is shown that each type of localized plasticity pattern corresponds to a definite stage of deformation hardening. In the course of plastic flow development, a changeover in the types of localization patterns occurs. The types of localization patterns are limited in number: four pattern types are all that can be expected. A correspondence was set up between the emergent localization pattern and the respective flow stage. It is found that the localization patterns are manifestations of the autowave nature of plastic flow localization process, with each pattern type corresponding to a definite mode of autowave. In the course of plastic flow development, the following modes of autowaves will form in the following sequence: switching autowave → phase autowave → stationary dissipative structure → collapse of the autowave. Of particular interest are the phase autowave and the respective pattern observed. Propagation velocity, dispersion, and grain size dependence of wavelength were determined experimentally for the phase autowave. An elastic-plastic strain invariant was also introduced to relate the elastic and plastic properties of the deforming medium. It is found that the autowave characteristics follow directly from this invariant.

Effects of Crystallographic Texture on Plastic Flow Localization

2007 ◽  
Vol 340-341 ◽  
pp. 211-216
Author(s):  
Mitsutoshi Kuroda
Keyword(s):  
Shear Band ◽  
Plane Strain ◽  
Plastic Flow ◽  
Texture Component ◽  
Three Dimensional ◽  
Cube Texture ◽  
Shear Band Formation ◽  
Flow Localization ◽  
Band Formation ◽  
Plastic Flow Localization

In this study, effects of typical texture components observed in rolled aluminum alloy sheets (i.e. Copper, Brass, S, Cube and Goss texture components) on plastic flow localization are studied. The material response is described by a generalized Taylor-type polycrystal model, in which each grain is characterized in terms of an elastic-viscoplastic continuum slip constitutive relation. First, forming limits of thin sheet set by sheet necking are predicted using a Marciniak–Kuczynski (M–K-) type approach. It is shown that only the Cube texture component yields forming limits higher than that for a random texture in the biaxial stretch range. Next, three-dimensional shear band analyses are performed, using a three-dimensional version of M–K-type model, but the overall deformation mode is restricted to a plane strain state. From this simple model analysis, two important quantities regarding shear band formation are obtained: i.e. the critical strain at the onset of shear banding and the corresponding orientation of shear band. It is concluded that the Cube texture component is said to be a shear band free texture, while some texture components exhibit significantly low resistance to shear band formation. Finally, shear band developments in plane strain pure bending of sheet specimens with the typical textures are studied.

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