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Modeling of Double Cross-Slip by Means of Geodesic Curvature Driven Flow

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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… Click to show full abstract

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.

Keywords: double cross; cross; curvature driven; geodesic curvature; cross slip

Journal Title: Acta Physica Polonica A
Year Published: 2018

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