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Kinetics of interstitial segregation in Cottrell atmospheres and grain boundaries
Authors:J. Svoboda  G.A. Zickler  E. Kozeschnik
Affiliation:1. Institute of Physics of Materials, Academy of Science of the Czech Republic, ?i?kova 22, 616 62 Brno, Czech Republic;2. Institute of Mechanics, Montanuniversit?t Leoben, Franz-Josef-Strasse 18, 8700 Leoben, Austria;3. Institute of Materials Science and Technology, Vienna University of Technology, Favoritenstrasse 9-11/E308, 1040 Vienna, Austria
Abstract:Trapping of interstitial (e.g. carbon) atoms is driven by the reduction in energy in the system. Diffusion of interstitials, together with their trapping in dislocation cores and/or grain boundaries, is studied by the thermodynamic extremal principle. In addition to the total Gibbs energy, a well-established formulation of the total dissipation is applied. Dimension-free evolution equations are derived, whose solution is well approximated by an easy to handle kinetic equation. Cottrell’s power law can be verified in the initial stage.
Keywords:segregation  grain boundaries  dislocations  simulation  thermodynamic extremal principle
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