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Drift Diffusion in Grain Boundaries under the Influence of Stress Fileds
Author(s) -
Trinkaus H.
Publication year - 1979
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.2220930135
Subject(s) - creep , grain boundary , void (composites) , materials science , stress field , scaling , grain boundary diffusion coefficient , diffusion , grain boundary strengthening , stress (linguistics) , mechanics , condensed matter physics , physics , thermodynamics , mathematics , geometry , composite material , microstructure , finite element method , linguistics , philosophy
The diffusive‐elastic coupling between a misfitting inhomogeneity in a grain boundary and the related stress field is analysed within a continuum approach. The scaling behaviour of the basic equations allows some general conclusions on the time dependence of various processes like the spreading of an inhomogeneity, the diffusional creep and the growth of grain‐boundary voids. The coupled Green's functions for the spreading of an inhomogeneity and the related stress field over an infinite plane grain boundary are derived. They show that in the early stage the width of such an inhomogeneity develops in time as t 1/3 (grain‐boundary diffusion), in the late stage as t 1/2 (volume diffusion). Possible applications to the quantitative treatment of creep and void growth are indicated.