On combined quantized and mechanical descriptions of the Chernov-Luders macroband of localized deformation

A. A. Reshetnyak, E. V. Shilko, Yu P. Sharkeev

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We suggest the quantized approach, based on the recently proposed statistical theory of flow stress for the polycrystalline materials under quasi-static plastic deformation, in order to theoretically describe the Chernov-Luders shear macroband of localized deformation, which is manifested in a number of Fe-containing materials with the second phase presence beyond the yield strength point on the stress-strain curve, σ=σ(ϵ). The procedure essentially uses the quasi-particle interpretation for the part of the minimal mechanical energy for given single-mode polycrystalline aggregate to be necessary to create, according to thermal-fluctuation mechanism, the 0D-defect - nanopore as the initial zone of localized deformation under external loading. With help of the quasi-particles description the analytical expressions both for the scalar density of dislocations for given grain sizes, temperature, the most probable sliding system and for the σ=σ(ϵ) dependence itself. A two-level system, which characterizes the mechanism of absorption and emission of such quasi-particles (dislocons) by the crystal lattice of any grain under quasi-static loading permits to effectively describe the physics of the appearance and propagation of the Chernov-Luders shear macroband. The experimentally observed enhancement of the acoustic emission, accompanying the phenomenon, justifies the interpretation of the dislocon as the composite short-lived particle consisting of acoustic phonons. The case of more realistic three-level system within two-phase model for real polycrystalline samples is suggested as well.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures 2019
EditorsVictor E. Panin, Sergey G. Psakhie, Vasily M. Fomin
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419124
DOIs
Publication statusPublished - 19 Nov 2019
EventInternational Conference on Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures 2019 - Tomsk, Russian Federation
Duration: 1 Oct 20195 Oct 2019

Publication series

NameAIP Conference Proceedings
Volume2167
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures 2019
CountryRussian Federation
CityTomsk
Period1.10.195.10.19

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Reshetnyak, A. A., Shilko, E. V., & Sharkeev, Y. P. (2019). On combined quantized and mechanical descriptions of the Chernov-Luders macroband of localized deformation. In V. E. Panin, S. G. Psakhie, & V. M. Fomin (Eds.), Proceedings of the International Conference on Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures 2019 [020292] (AIP Conference Proceedings; Vol. 2167). American Institute of Physics Inc.. https://doi.org/10.1063/1.5132159