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Keywords:

  • strain-gradient plasticity;
  • dissipation function;
  • single-crystal plasticity;
  • large deformations;
  • variational problem

Abstract

Variational formulations are constructed for rate-independent problems in single-crystal strain-gradient plasticity in the framework of large deformations. Provision is made for energetic and dissipative microstresses, and a hardening law based on accumulated generalized slips is introduced. The variational formulations use the flow rule either in terms of the dissipation function or a generalized normality law. (© 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)