Dynamics of dislocations described as evolving curves interacting with obstacles

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00237696" target="_blank" >RIV/68407700:21340/16:00237696 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1088/0965-0393/24/3/035003" target="_blank" >http://dx.doi.org/10.1088/0965-0393/24/3/035003</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0965-0393/24/3/035003" target="_blank" >10.1088/0965-0393/24/3/035003</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dynamics of dislocations described as evolving curves interacting with obstacles

Popis výsledku v původním jazyce

In this paper we describe the model of glide dislocation interaction with obstacles based on the planar curve dynamics. The dislocations are represented as smooth curves evolving in a slip plane according to the mean curvature motion law, and are mathematically described by the parametric approach. We enhance the parametric model by employing so called tangential redistribution of curve points to increase the stability during numerical computation. We developed additional algorithms for topological changes (i.e. merging and splitting of dislocation curves) enabling a detailed modelling of dislocation interaction with obstacles. The evolving dislocations are approximated as a moving piece-wise linear curves. The obstacles are represented as idealized circular areas of a repulsive stress. Our model is numerically solved by means of semi-implicit flowing finite volume method. We present results of qualitative and quantitative computational studies where we demonstrate the topological changes and discuss the effect of tangential redistribution of curve points on computational results.

Název v anglickém jazyce

Dynamics of dislocations described as evolving curves interacting with obstacles

Popis výsledku anglicky

In this paper we describe the model of glide dislocation interaction with obstacles based on the planar curve dynamics. The dislocations are represented as smooth curves evolving in a slip plane according to the mean curvature motion law, and are mathematically described by the parametric approach. We enhance the parametric model by employing so called tangential redistribution of curve points to increase the stability during numerical computation. We developed additional algorithms for topological changes (i.e. merging and splitting of dislocation curves) enabling a detailed modelling of dislocation interaction with obstacles. The evolving dislocations are approximated as a moving piece-wise linear curves. The obstacles are represented as idealized circular areas of a repulsive stress. Our model is numerically solved by means of semi-implicit flowing finite volume method. We present results of qualitative and quantitative computational studies where we demonstrate the topological changes and discuss the effect of tangential redistribution of curve points on computational results.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP108%2F12%2F1463" target="_blank" >GAP108/12/1463: Dvouúrovňová diskrétně-spojitá dislokační dynamika</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Modelling and Simulation in Materials Science and Engineering

ISSN

0965-0393

e-ISSN

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Svazek periodika

24

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

34

Strana od-do

1-34

Kód UT WoS článku

000372347800003

EID výsledku v databázi Scopus

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