Continuity in the plastic strain rate and its influence on texture evolution

Justin C. Mach, Armand J. Beaudoin, Amit Acharya

Research output: Contribution to journalArticlepeer-review


Classical plasticity models evolve state variables in a spatially independent manner through (local) ordinary differential equations, such as in the update of the rotation field in crystal plasticity. A continuity condition is derived for the lattice rotation field from a conservation law for Burgers vector content-a consequence of an averaged field theory of dislocation mechanics. This results in a nonlocal evolution equation for the lattice rotation field. The continuity condition provides a theoretical basis for assumptions of co-rotation models of crystal plasticity. The simulation of lattice rotations and texture evolution provides evidence for the importance of continuity in modeling of classical plasticity. The possibility of predicting continuous fields of lattice rotations with sharp gradients representing non-singular dislocation distributions within rigid viscoplasticity is discussed and computationally demonstrated.

Original languageEnglish (US)
Pages (from-to)105-128
Number of pages24
JournalJournal of the Mechanics and Physics of Solids
Issue number2
StatePublished - Feb 2010


  • Continuity
  • Crystal plasticity
  • Dislocations
  • Finite strain
  • Viscoplastic material

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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