Basic Physical Mesomechanics of Plastic Deformation and Fracture of Solids as Hierarchically Organized Nonlinear Systems

V. E. Panin, V. E. Egorushkin

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25 Citations (Scopus)


The paper presents basic propositions for multiscale description of a deformed solid as a hierarchically organized nonlinear system consisting of a 3D crystal subsystem and a 2D planar subsystem (surface layers and all internal interfaces). The 2D planar subsystem is a source of primary plastic flows which create multiscale effects of lattice curvature in the 3D crystal subsystem. These effects underlie the generation of all types of strain-induced defects in a solid at the interfaces of its 2D and 3D subsystems and the formation of bifurcational interstitial structural states responsible for vortical plastic distortion, curvature of nonlinear flows of mesoscale structural transformations, and nonlinear fracture as structural phase decomposition in supercritical lattice curvature zones. Basic aspects of the multiscale nonlinear theory are considered.

Original languageEnglish
Pages (from-to)377-390
Number of pages14
JournalPhysical Mesomechanics
Issue number4
Publication statusPublished - 1 Oct 2015



  • dynamic rotations
  • fracture as structural phase decay
  • hierarchical self-organization
  • nonlinear mesomechanics
  • structural scales

ASJC Scopus subject areas

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

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