Geodesic
Dislocation dynamics - analytical description of the interaction force between dipolar loops
Kybernetika, Tome 43 (2007) no. 6, pp. 841-854 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The interaction between dislocation dipolar loops plays an important role in the computation of the dislocation dynamics. The analytical form of the interaction force between two loops derived in the present paper from Kroupa’s formula of the stress field generated by a single dipolar loop allows for faster computation.
The interaction between dislocation dipolar loops plays an important role in the computation of the dislocation dynamics. The analytical form of the interaction force between two loops derived in the present paper from Kroupa’s formula of the stress field generated by a single dipolar loop allows for faster computation.
Classification : 35K65, 65D18, 68U20, 74C05, 74E15, 74H15, 74M25, 74S10
Keywords: dislocation dynamics; interaction force between dipolar loops 
@article{KYB_2007_43_6_a8,
     author = {Min\'arik, Vojt\v{e}ch and Kratochv{\'\i}l, Jan},
     title = {Dislocation dynamics - analytical description of the interaction force between dipolar loops},
     journal = {Kybernetika},
     pages = {841--854},
     year = {2007},
     volume = {43},
     number = {6},
     mrnumber = {2121409},
     zbl = {1135.74013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007_43_6_a8/}
}
TY  - JOUR
AU  - Minárik, Vojtěch
AU  - Kratochvíl, Jan
TI  - Dislocation dynamics - analytical description of the interaction force between dipolar loops
JO  - Kybernetika
PY  - 2007
SP  - 841
EP  - 854
VL  - 43
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/KYB_2007_43_6_a8/
LA  - en
ID  - KYB_2007_43_6_a8
ER  - 
%0 Journal Article
%A Minárik, Vojtěch
%A Kratochvíl, Jan
%T Dislocation dynamics - analytical description of the interaction force between dipolar loops
%J Kybernetika
%D 2007
%P 841-854
%V 43
%N 6
%U http://geodesic.mathdoc.fr/item/KYB_2007_43_6_a8/
%G en
%F KYB_2007_43_6_a8
Minárik, Vojtěch; Kratochvíl, Jan. Dislocation dynamics - analytical description of the interaction force between dipolar loops. Kybernetika, Tome 43 (2007) no. 6, pp. 841-854. http://geodesic.mathdoc.fr/item/KYB_2007_43_6_a8/

[1] Bretschneider J., Holste, C., Tippelt B.: Cyclic plasticity of nickel single crystals at elevated temperatures. Acta Materialia 45 (1997), 3775–3783 | DOI

[2] Huang J., Ghoniem N. M., Kratochvíl J.: On the sweeping mechanism of dipolar dislocation loops under fatigue conditions. Modelling and Simulation in Materials Science and Engineering 12 (2004), pp. 917–928

[3] Kroupa F.: Long-range elastic field of semi-infinite dislocation dipole and of dislocation jog. Phys. Status Solidi 9 (1965), 27–32 | DOI

[4] Minárik V., Kratochvíl J., Mikula, K., Beneš M.: Numerical simulation of dislocation dynamics. In: Numerical Mathematics and Advanced Applications, ENUMATH 2003 (peer reviewed proceedings) (M. Feistauer, V. Dolejší, P. Knobloch, K. Najzar, eds.), Springer–Verlag, Berlin 2004, pp. 631–641 | MR | Zbl

[5] Minárik V., Kratochvíl, J., Mikula K.: Numerical simulation of dislocation dynamics by means of parametric approach. In: Proc. Czech Japanese Seminar in Applied Mathematics (M. Beneš, J. Mikyška, and T. Oberhuber, eds.), Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague 2005, pp. 128–138

[7] Tippelt B.: Influence of temperature on microstructural parameters of cyclically deformed nickel single crystals. Philos. Mag. Letters 74 (1996), 3, 161–166 | DOI

[8] Tippelt B., Bretschneider, J., Hähner P.: The dislocation microstructure of cyclically deformed nickel single crystals at different temperatures. Phys. Status Solidi (A) 163 (1997), 11–26 | DOI