Dynamics of dislocations described as evolving curves interacting with obstacles

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Dynamics of dislocations described as evolving curves interacting with obstacles

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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

2016

Confidentiality

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

Name of the periodical

Modelling and Simulation in Materials Science and Engineering

ISSN

0965-0393

e-ISSN

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Volume of the periodical

24

Issue of the periodical within the volume

3

Country of publishing house

GB - UNITED KINGDOM

Number of pages

34

Pages from-to

1-34

UT code for WoS article

000372347800003

EID of the result in the Scopus database

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