Polycrystalline plastic deformation and texture evolution for crystals lacking five independent slip systems

D. M. Parks, Said Ahzi

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138 Citations (Scopus)


We clearly elucidate the kinematic constraints, and the corresponding kinematic indeterminacy of part of the deviatoric stress tensor, in a rigid-viscoplastic single crystal lacking five independent slip systems. The indeterminate stress component is a Lagrange multiplier enforcing the kinematic constraint, and it must be determined from equilibrium considerations. A simple polycrystalline model is constructed which precisely satisfies local kinematic constraints as well as global compatibility. Volume-average global stresses are obtained by approximating the local constraint stress as the corresponding projection of the (to-be-determined) global stress. Applications of the model to hexagonal crystals without pyramidal slip, and to large deformation and texturing of orthorhombic polycrystalline materials (olivine; HDPE) are made.

Original languageEnglish
Pages (from-to)701-724
Number of pages24
JournalJournal of the Mechanics and Physics of Solids
Issue number5
Publication statusPublished - 1990
Externally publishedYes


ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

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