Discrete Dislocation Dynamics and Mean Curvature Flow

Petr Pauš (), Michal Beneš () and Jan Kratochvíl ()
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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

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 721-728 from Springer

Abstract: 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.

Keywords: Curvature Flow; Topological Change; Line Tension; Plane Curf; Dislocation Dynamic (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_77

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DOI: 10.1007/978-3-642-11795-4_77

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