Deformable solid as a nonlinear hierarchically organized system

V. E. Panin, V. E. Egorushkin

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

Scientific basis for describing a deformable solid as a nonlinear hierarchically organized system has been developed. It has been predicted theoretically and verified experimentally that primary plastic shear strains in a loaded solid are nonlinear waves of local structural transformations in 2D surface layers and internal interfaces with no long-range order. The development of these nonlinear waves owes to multiscale self-consistency of plastic flow at different structural-scale flevels. Strain-induced defects of any type nucleate in highly excited hydrostatic tension zones that arise as nonlinear waves of channeled plastic flow propagate in the 2D systems. A regular occurrence of the zones defines the nature of plastic strain localization. It is suggested that a local curvature of vortex plastic flows be considered as a generalized structural parameter to provide multiscale plastic flow consistency in a material in the entire hierarchy of structural scales, including its electronic subsystem. The generalized structural parameter allows an adequate description of a deformable solid in different thermodynamic states, including highly nonequilibrium nanostructured materials.

Original languageEnglish
Pages (from-to)207-223
Number of pages17
JournalPhysical Mesomechanics
Volume14
Issue number5-6
DOIs
Publication statusPublished - 2011

Fingerprint

plastic flow
Plastic flow
plastics
shear strain
Shear strain
hydrostatics
Nanostructured materials
hierarchies
Plastic deformation
surface layers
Vortex flow
curvature
Thermodynamics
occurrences
vortices
Plastics
thermodynamics
Defects
defects
electronics

Keywords

  • Plastic deformation, multiscale pattern, nonlinear waves, generation of strain-induced defects, defect flux curvature as a generalized structural parameter

ASJC Scopus subject areas

  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Surfaces and Interfaces

Cite this

Deformable solid as a nonlinear hierarchically organized system. / Panin, V. E.; Egorushkin, V. E.

In: Physical Mesomechanics, Vol. 14, No. 5-6, 2011, p. 207-223.

Research output: Contribution to journalArticle

Panin, V. E. ; Egorushkin, V. E. / Deformable solid as a nonlinear hierarchically organized system. In: Physical Mesomechanics. 2011 ; Vol. 14, No. 5-6. pp. 207-223.
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