Dynamically Evolving Dislocations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00210841" target="_blank" >RIV/68407700:21340/13:00210841 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Dynamically Evolving Dislocations
Original language description
This contribution deals with the numerical simulation of dislocation dynamics. Dislocations are line defects in crystalline lattice causing the disturbance of the regularity of the crystallographic arrangement of atoms. From a mathematical point of view,the dislocations are defined as smooth closed or open planar curves which evolve in time. The motion itself is only two-dimensional and is driven by the equation for the mean curvature flow. We describe the evolving curves by parametric approach and themodel is numerically solved it by means of semi- implicit finite differences and flowing finite volumes method. However, numerical experiments show this model exhibits unintended behaviour, since during the evolution, the grid points are accumulated incertain segments. We overcome this problem by adding the tangential velocity to the model, which does not affect the shape of the curve.
Czech name
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Czech description
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Project
<a href="/en/project/GAP108%2F12%2F1463" target="_blank" >GAP108/12/1463: Two scales discrete-continuum approach to dislocation dynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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