Modeling of Double Cross-Slip by Means of Geodesic Curvature Driven Flow
M. Kolářa, M. Beneša, J. Kratochvílb, P. Pauša
aDepartment of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague, Czech Republic
bDepartment of Physics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, Prague, Czech Republic
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In this paper we develop a model for double cross-slip in fcc crystals. The double cross-slip mechanism is demonstrated by a simulation of an overcoming of a particle exerting spherically symmetric repulsive stress field. The cross-slip is treated as a deterministic, stress-controlled process. For the identification of the cross-slip, we use a criterion based on evaluation of stresses exerted on a tip of a screw part of a dislocation resolved in the primary plane and in the cross-slip plane. The motion of a dislocation is described by the geodesic curvature driven flow on surfaces, and treated by means of the parametric approach. The results of numerical simulations are validated by analytical calculations.

DOI:10.12693/APhysPolA.134.667
PACS numbers: 02.70.Bf, 61.72.Lk, 02.30.Jr