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

Victor E. Panin, V. E. Egorushkin, Alexey Victorovich Panin

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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
Issue number3-4
Publication statusPublished - 2012


  • 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

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