Gradients of Hardening in Nonlocal Dislocation Based Plasticity

  • George Z. Voyiadjis
  • Robert J. Dorgan
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 114)


In this work, a thermodynamically consistent framework for a gradient enhanced plasticity model is given to introduce material length scales through the second order gradients of both the kinematic and isotropic hardening variables. In order to give a micromechanical basis for the gradient enhanced continuum model, the evolution equations of the internal state variables derived through the gradient theory are compared to the evolution equations based on dislocation theories involving mobile and immobile dislocations, and the gradient coefficients are defined using material parameters from thes dislocation theories.

Key words

Gradient dislocation plasticity 


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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • George Z. Voyiadjis
    • 1
  • Robert J. Dorgan
    • 1
  1. 1.Department of Civil and Environmental EngineeringLouisiana State UniversityBaton RougeUSA

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