Relaxation Mode of Macroscopic Plastic Deformation in Metals

The relaxation of elastic energy during macroscopic plastic deformation in a rigorous formulation is determined by solutions of the system of nonlinear equations of mechanics of a deformable solid. Using methods of the nonlinear systems theory, a nonlinear parabolic equation is obtained for the ampl...

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Bibliographic Details
Published inRussian physics journal Vol. 63; no. 9; pp. 1545 - 1547
Main Authors Khon, Yu. A., Zuev, L. B.
Format Journal Article
LanguageEnglish
Published New York Springer US 2021
Springer
Springer Nature B.V
Subjects
Condensed Matter Physics
Elastic deformation
Formability
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nonlinear equations
Nonlinear systems
Nuclear Physics
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Plastic deformation
System theory
Systems theory
Theoretical
traveling front
plasticity
elastic energy
relaxation mode
relaxation
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Summary:The relaxation of elastic energy during macroscopic plastic deformation in a rigorous formulation is determined by solutions of the system of nonlinear equations of mechanics of a deformable solid. Using methods of the nonlinear systems theory, a nonlinear parabolic equation is obtained for the amplitude of the unstable mode which describes the plastic deformation at large spatial and time scales.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-021-02204-w