| Title:
|
Dislocation dynamics - analytical description of the interaction force between dipolar loops (English) |
| Author:
|
Minárik, Vojtěch |
| Author:
|
Kratochvíl, Jan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
43 |
| Issue:
|
6 |
| Year:
|
2007 |
| Pages:
|
841-854 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
dislocation dynamics |
| Keyword:
|
interaction force between dipolar loops |
| MSC:
|
35K65 |
| MSC:
|
65D18 |
| MSC:
|
68U20 |
| MSC:
|
74C05 |
| MSC:
|
74E15 |
| MSC:
|
74H15 |
| MSC:
|
74M25 |
| MSC:
|
74S10 |
| idZBL:
|
Zbl 1135.74013 |
| idMR:
|
MR2121409 |
| . |
| Date available:
|
2009-09-24T20:30:12Z |
| Last updated:
|
2013-09-21 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135820 |
| . |
| Reference:
|
[1] Bretschneider J., Holste, C., Tippelt B.: Cyclic plasticity of nickel single crystals at elevated temperatures.Acta Materialia 45 (1997), 3775–3783 10.1016/S1359-6454(97)00030-X |
| Reference:
|
[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 |
| Reference:
|
[3] Kroupa F.: Long-range elastic field of semi-infinite dislocation dipole and of dislocation jog.Phys. Status Solidi 9 (1965), 27–32 10.1002/pssb.19650090103 |
| Reference:
|
[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 Zbl 1163.65309, MR 2121409 |
| Reference:
|
[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 |
| Reference:
|
[7] Tippelt B.: Influence of temperature on microstructural parameters of cyclically deformed nickel single crystals.Philos. Mag. Letters 74 (1996), 3, 161–166 10.1080/095008396180317 |
| Reference:
|
[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 10.1002/1521-396X(199709)163:1<11::AID-PSSA11>3.0.CO;2-X |
| . |
