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On the Diffusion Theory of Kink‐Pair Formation on Dislocations
Author(s) -
Mann E.
Publication year - 1982
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221110217
Subject(s) - diffusion , limiting , action (physics) , diffusion process , shear (geology) , diffusion equation , physics , shear stress , diffusion theory , general theory , condensed matter physics , materials science , classical mechanics , mechanics , thermodynamics , quantum mechanics , theoretical physics , composite material , mechanical engineering , knowledge management , innovation diffusion , economy , computer science , engineering , economics , service (business)
The process of kink‐pair formation on dislocations under the action of an applied shear stress is studied by means of the diffusion theory for the limiting cases of high or low kink mobility. In both cases exact expressions for the mean lifetime or formation time of a kink pair are derived. They may be converted into analytical forms under fairly general assumptions. In the case of low kink mobility a general formula is obtained that is valid for applied shear stresses of arbitrary magnitude and thus connects the results known hitherto only for high and low stresses, respectively. From the expressions for the lifetime the rate of kink‐pair formation is calculated by introducing the free energies of the system. The appendix deals with the exactly solvable diffusion equation in the case of high mobility.