Nonlinear wave processes in a deformable solid as a hierarchically organized system

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Theoretical predictions and experiments demonstrate that solid state mechanics should consider, along with a structurally equilibrium 3D crystalline subsystem, a structurally nonequilibrium planar subsystem as a complex of all surface layers and internal interfaces with broken translation invariance. Primary plastic flow of a loaded solid develops in its structurally nonequilibrium planar subsystem as channeled nonlinear waves of local structural transformations that determine the self-organization law of multiscale plastic flow. These waves initiate mesoscale rotational deformation modes, giving rise to all types of microscale strain-induced defects in the planar subsystem. The strain-induced defects are emitted into the crystalline subsystem as an inhibitor of nonlinear waves of plastic flow in the planar subsystem. Plastic deformation of solids, whatever the loading type, evolves in the field of rotational couple forces. Loss of hierarchical self-consistency by rotational deformation modes culminates in fracture of material as an uncompensated rotational deformation mode on the macroscale.

Original languageEnglish
Pages (from-to)133-146
Number of pages14
JournalPhysical Mesomechanics
Volume15
Issue number3-4
DOIs
Publication statusPublished - 2012

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plastic flow
Plastic flow
Crystalline materials
Defects
defects
Invariance
microbalances
inhibitors
plastic deformation
invariance
Plastic deformation
surface layers
Mechanics
solid state
predictions
Experiments

Keywords

  • generation of strain-induced defects
  • multiscale pattern
  • nonlinear waves
  • plastic deformation
  • self-organization

ASJC Scopus subject areas

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

Cite this

Nonlinear wave processes in a deformable solid as a hierarchically organized system. / Panin, Victor E.; Egorushkin, V. E.; Panin, Alexey Victorovich.

In: Physical Mesomechanics, Vol. 15, No. 3-4, 2012, p. 133-146.

Research output: Contribution to journalArticle

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