Dislocation based Plasticity

P4 - Efficient Numerical Solution Methods for Dislocation based Plasticity

Within this project we develop efficient approximations and parallel solution methods for single-crystal elasto-plasticity in 3D, where the plastic evolution is determined by the averaged continuum dislocation density (CDD) system. The CDD system will be approximated with a Runge-Kutta discontinuous Galerkin method. The deformation, depending on the plastic shear strain determined by Orowan’s relation, is then approximated with finite elements. We aim for a robust and stable method which allows for the numerical evaluation of the fully coupled system.

The project goals are:

  • Parallel solution methods for DG discretizations of CDD
  • Flexible interface for the definition of dislocation velocities
  • Pattern dynamics and fluctuations in simplified systems
  • Parallel solution methods for the fully coupled model
  • Stable evaluation of derivatives of the dislocation velocities
  • Numerical evaluation of different levels of averaging
  • Numerical analysis of the overall approximation scheme 


Members :

Prof. Dr. Christian Wieners, Institute for Applied and Numerical Mathematics, KIT

M.Sc. Ekkachai Thawinan, Institute for Applied and Numerical Mathematics, KIT

Dipl.-Math. techn. Lydia Wagner, Institute for Applied and Numerical Mathematics, KIT