Mathematical Model and Computational Studies of Discrete Dislocation Dynamics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00236071" target="_blank" >RIV/68407700:21110/15:00236071 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21340/15:00236071

Výsledek na webu

<a href="http://www.iaeng.org/IJAM/issues_v45/issue_3/index.html" target="_blank" >http://www.iaeng.org/IJAM/issues_v45/issue_3/index.html</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Mathematical Model and Computational Studies of Discrete Dislocation Dynamics

Popis výsledku v původním jazyce

This contribution deals with the numerical simulation of dislocation dynamics, which is a topic belonging to the field of solid state physics. Dislocations are modelled as line defects in crystalline lattice causing the disturbance of the regularity of the crystallographic arrangement of atoms. From the mathematical point of view, dislocations are defined as smooth closed or open planar curves, which evolve in time, and their motion is driven by the equation for the mean curvature flow stating that thenormal velocity is proportional to the mean curvature and the sum of all acting force terms. In this paper, we describe the family of evolving curves by the parametric approach, and the system of PDEs arising from the mean curvature motion law is solvedby semi-implicit scheme with spatial discretization based on the flowing finite volume method. Additionally, we enhance the performance and the numerical stability of the algorithm by adding a tangential term to the motion law. The presen

Název v anglickém jazyce

Mathematical Model and Computational Studies of Discrete Dislocation Dynamics

Popis výsledku anglicky

This contribution deals with the numerical simulation of dislocation dynamics, which is a topic belonging to the field of solid state physics. Dislocations are modelled as line defects in crystalline lattice causing the disturbance of the regularity of the crystallographic arrangement of atoms. From the mathematical point of view, dislocations are defined as smooth closed or open planar curves, which evolve in time, and their motion is driven by the equation for the mean curvature flow stating that thenormal velocity is proportional to the mean curvature and the sum of all acting force terms. In this paper, we describe the family of evolving curves by the parametric approach, and the system of PDEs arising from the mean curvature motion law is solvedby semi-implicit scheme with spatial discretization based on the flowing finite volume method. Additionally, we enhance the performance and the numerical stability of the algorithm by adding a tangential term to the motion law. The presen

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

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

IAENG International Journal of Applied Mathematics

ISSN

1992-9978

e-ISSN

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Svazek periodika

45

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

JP - Japonsko

Počet stran výsledku

10

Strana od-do

198-207

Kód UT WoS článku

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EID výsledku v databázi Scopus

2-s2.0-84938933747