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Formation of an Irregular Pattern of Localized Plasticity in the Linear-To-Parabolic Hardening Transition

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During the transition from the linear hardening stage to parabolic hardening, the formation of an irregular pattern is experimentally observed. The reasons for and conditions of its formation are discussed. A deformable medium is considered as a non-linear system with a continuously changing structure on two spatial and temporal scales. The kinetics of structural relaxation of the deformable medium is described by a system of two nonlinear parabolic equations for the dynamic order parameters. Based on the analysis of the solutions of the kinetic equations, it is shown that the solutions to the equations in the intermediate stage are the static autosolitons.

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Authors and Affiliations

  1. Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Academy of Sciences, Tomsk, Russia

    Yu. A. Khon

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  1. Yu. A. Khon
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Correspondence to Yu. A. Khon.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 140–145, March, 2022.

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Khon, Y.A. Formation of an Irregular Pattern of Localized Plasticity in the Linear-To-Parabolic Hardening Transition. Russ Phys J 65, 545–550 (2022). https://doi.org/10.1007/s11182-022-02666-6

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  • DOI: https://doi.org/10.1007/s11182-022-02666-6

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