Fundamental role of crystal structure curvature in plasticity and strength of solids

V. E. Panin, Alexey Victorovich Panin, T. F. Elsukova, Yu F. Popkova

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


In the paper, we use the nonlinear multiscale approach of physical mesomechanics to demonstrate that the scales of local crystal structure curvature in solids play a fundamental role in the generation of strain-induced defects and cracks. It is shown that strain-induced defects arise at the interfaces of 2D planar and 3D crystal subsystems by the mechanism of “laser pumping” and cracks nucleate as structural phase decay in the zones of crystal structure curvature where the nonequilibrium thermodynamic potential or so-called Gibbs energy is higher than zero. Nonlinear fracture mechanics eliminates the problem of singularity 1/r in equations of crack growth but requires accounting for local lattice curvature at the crack tip.

Original languageEnglish
Pages (from-to)89-99
Number of pages11
JournalPhysical Mesomechanics
Issue number2
Publication statusPublished - 29 Apr 2015


  • cracks
  • crystal structure curvature
  • generation mechanisms
  • nonlinear multiscale approach
  • plasticity
  • strain-induced defects
  • strength

ASJC Scopus subject areas

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

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