Mathematical Model and Computational Studies of Discrete Dislocation Dynamics
The result's identifiers
Result code in 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>
Alternative codes found
RIV/68407700:21340/15:00236071
Result on the web
<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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Alternative languages
Result language
angličtina
Original language name
Mathematical Model and Computational Studies of Discrete Dislocation Dynamics
Original language description
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
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP108%2F12%2F1463" target="_blank" >GAP108/12/1463: Two scales discrete-continuum approach to dislocation dynamics</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IAENG International Journal of Applied Mathematics
ISSN
1992-9978
e-ISSN
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Volume of the periodical
45
Issue of the periodical within the volume
3
Country of publishing house
JP - JAPAN
Number of pages
10
Pages from-to
198-207
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-84938933747