Dislocation dynamics - analytical description of the interaction force between dipolar loops

Vojtěch Minárik; Jan Kratochvíl

Kybernetika (2007)

  • Volume: 43, Issue: 6, page 841-854
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Minárik, Vojtěch, and Kratochvíl, Jan. "Dislocation dynamics - analytical description of the interaction force between dipolar loops." Kybernetika 43.6 (2007): 841-854. <http://eudml.org/doc/33901>.

@article{Minárik2007,
abstract = {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.},
author = {Minárik, Vojtěch, Kratochvíl, Jan},
journal = {Kybernetika},
keywords = {dislocation dynamics; interaction force between dipolar loops; Kroupa's formula; stress field},
language = {eng},
number = {6},
pages = {841-854},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Dislocation dynamics - analytical description of the interaction force between dipolar loops},
url = {http://eudml.org/doc/33901},
volume = {43},
year = {2007},
}

TY - JOUR
AU - Minárik, Vojtěch
AU - Kratochvíl, Jan
TI - Dislocation dynamics - analytical description of the interaction force between dipolar loops
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 6
SP - 841
EP - 854
AB - 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.
LA - eng
KW - dislocation dynamics; interaction force between dipolar loops; Kroupa's formula; stress field
UR - http://eudml.org/doc/33901
ER -

References

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  1. Bretschneider J., Holste, C., Tippelt B., 10.1016/S1359-6454(97)00030-X, Acta Materialia 45 (1997), 3775–3783 (1997) DOI10.1016/S1359-6454(97)00030-X
  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., 10.1002/pssb.19650090103, Phys. Status Solidi 9 (1965), 27–32 (1965) DOI10.1002/pssb.19650090103
  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 Zbl1163.65309MR2121409
  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 
  6. Tippelt B., 10.1080/095008396180317, Philos. Mag. Letters 74 (1996), 3, 161–166 (1996) DOI10.1080/095008396180317
  7. Tippelt B., Bretschneider, J., Hähner P., 10.1002/1521-396X(199709)163:1<11::AID-PSSA11>3.0.CO;2-X, Phys. Status Solidi (A) 163 (1997), 11–26 (1997) DOI10.1002/1521-396X(199709)163:1<11::AID-PSSA11>3.0.CO;2-X

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