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Numerical Simulation of Dislocation Dynamics

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Vojtěch Minárik

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

  • Jan Kratochvíl

    (Czech Technical University, Dept. of Physics, Faculty of Civil Engineering)

  • Karol Mikula

    (Slovak University of Technology, Dept. of Mathematics)

  • Michal Beneš

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

Abstract

Summary The aim of this contribution is to present the current state of our research in the field of numerical simulation of dislocations moving in crystalline materials. The simulation is based on recent theory treating dislocation curves and dipolar loops interacting by means of forces of elastic nature and hindered by the lattice friction. The motion and interaction of one dislocation curve and one dipolar loop placed in 3D space is considered. Equations of motion for a parametrically described dislocation curve are discretized by the flowing finite volume method in space. The interaction force is computed for each dipolar loop and along the discretized curve. The resulting system of ordinary differential equations is solved by a higher order time solver.

Suggested Citation

  • Vojtěch Minárik & Jan Kratochvíl & Karol Mikula & Michal Beneš, 2004. "Numerical Simulation of Dislocation Dynamics," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 631-640, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_61
    DOI: 10.1007/978-3-642-18775-9_61
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