Abstract

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.

Highlights

  • We can do no more than mention a few experimental and theoretical studies related to dislocation physics and solids mechanics, e.g. [1–14]

  • The following features are common to all the localization patterns observed far:

  • Acharia et al [38] observed a localization nucleus traveling along the extension axis in the single Cu crystal at the linear work hardening stage; a stationary localization pattern at the parabolic work hardening stage in the samples of Fe-Mn alloy was described by [39]

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Summary

Introduction

The nature and salient features of plastic deformation in solids were investigated. We can do no more than mention a few experimental and theoretical studies related to dislocation physics and solids mechanics, e.g. The plastic flow in solids is found to have a space-time periodic nature, which is discussed at length by [25–28]. Localization is a general feature of the plastic flow process, which should be taken properly into account to markedly advance our understanding of the deforming medium stratification into alternating deforming and non-deforming layers about 10−2 m thick. In this line of research, considerable experimental study has been given to the problem of plastic deformation macrolocalization; the investigation results were summarized in a monograph by [29].1. In this line of research, considerable experimental study has been given to the problem of plastic deformation macrolocalization; the investigation results were summarized in a monograph by [29].1 In what follows, we discuss new approaches to the same problem

Experimental Technique
Studied Materials
Preliminary Results
Plastic Flow Stages and Localized Plasticity Patterns
Localized Plastic Flow Autowaves
Autowaves Observed for the Linear Work Hardening Stage
Plastic Flow Viewed as Self-organization of the Deforming Medium
Autowave Equations
On the Relation of Autowave Equations to Dislocation Theory
Elastic-Plastic Strain Invariant
Introduction of Elastic-Plastic Strain Invariant
Generalization of Elastic-Plastic Strain Invariant
On the Strain Invariant and Autowave Equations
Some Consequences of the Strain Invariant
The Model of Localized Plastic Flow
Plastic and Acoustic Characteristics of the Deforming Medium
Two-Component Model of Localized Plasticity
Localized Plastic Flow Autowaves and the Planck Constant
Introduction of a New Quasi-particle and Its Applications
Plasticity Viewed as a Macro-scale Quantum Phenomenon
Conclusions
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