Simulation of Dislocation Annihilation by Cross-Slip

• Authors: P. Pauš , M. Beneš , J. Kratochvíl
• Languages of publication: EN

Abstracts

EN

This contribution deals with the numerical simulation of dislocation dynamics, their interaction, merging and changes in the dislocation topology. The glide dislocations are represented by parametrically described curves moving in slip planes. The simulation model is based on the numerical solution of the dislocation motion law belonging to the class of curvature driven curve dynamics. We focus on the simulation of the cross-slip of two dislocation curves where each curve evolves in a different slip plane. The dislocations evolve, under their mutual interaction and under some external force, towards each other and at a certain time their evolution continues outside slip planes. During this evolution the dislocations merge by the cross-slip occurs. As a result, there will be two dislocations evolving in three planes, two planes, and one plane where cross-slip occurred. The goal of our work is to simulate the motion of the dislocations and to determine the conditions under which the cross-slip occurs. The simulation of the dislocation evolution and merging is performed by improved parametric approach and numerical stability is enhanced by the tangential redistribution of the discretization points.

Keywords

EN

02.70.Bf; 61.72.Lk; 02.30.Jr

Discipline

• 61.72.Lk: Linear defects: dislocations, disclinations
• 02.70.Bf: Finite-difference methods
• 02.30.Jr: Partial differential equations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 3
• Pages: 509-511

Dates

published

2012-09

Contributors

author

P. Pauš

• Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague, Czech Republic

author

M. Beneš

• Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague, Czech Republic

author

J. Kratochvíl

• Department of Physics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, Prague, Czech Republic

References

• [1] W. Püschl, Prog. Mater. Sci. 47, 415 (2002)
• [2] L. Kubin, B. Devincre, T. Hoc, Philos. Mag. 86, 4023 (2006)
• [3] J. Křišťan, J. Kratochvíl, V. Minárik, M. Beneš, in: Frontiers in numerical analysis. 10th LMS-EPSRC numerical analysis summer school, Durham (UK), July 7-19 , Eds. J.F. Blowey, A.W. Craig, T. Shardlow, Springer, Berlin 2002, p. 63
• [4] K. Deckelnick, G. Dziuk, Frontiers Num. Anal. 63, (2002)
• [5] D. Ševčovič, S. Yazaki, http://www.iam.fmph.uniba.sk/institute/sevcovic/papers/cl39.pdf, arXiv:0711.2568 (2007)
• [6] P. Pauš, M. Beneš, Kybernetika 45, 591 (2009)
• [7] V. Minárik, M. Beneš, J. Kratochvíl, J. Appl. Phys. 107, 061802 (2010)

Identifiers

DOI

10.12693/APhysPolA.122.509