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Discrete Dislocation Dynamics and Mean Curvature Flow

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Petr Pauš

    (Czech Technical University, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering)

  • Michal Beneš

    (Czech Technical University, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering)

  • Jan Kratochvíl

    (Czech Technical University Prague, Department of Physics, Faculty of Civil Engineering)

Abstract

This contribution deals with the numerical simulation of dislocation dynamics by means of parametric mean curvature flow. Dislocations are described as an evolving family of closed and open smooth curves driven by the normal velocity. The equation is solved using direct approach by semi-discrete scheme based on finite difference method. Numerical stability is improved by tangential redistribution of curve points which allows long time computations and better accuracy. Our method contain an algorithm which allows topological changes. The results of dislocation dynamics simulation are presented.

Suggested Citation

  • Petr Pauš & Michal Beneš & Jan Kratochvíl, 2010. "Discrete Dislocation Dynamics and Mean Curvature Flow," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 721-728, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_77
    DOI: 10.1007/978-3-642-11795-4_77
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