Modelling grain boundary migration during geometric dynamic recrystallization

High-angle grain boundary migration is predicted during geometric dynamic recrystallization (GDRX) by two types of mathematical models. Both models consider the driving pressure due to curvature and a sinusoidal driving pressure owing to subgrain walls connected to the grain boundary. One model is b...

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Bibliographic Details
Published in:Philosophical magazine letters 2008-09, Vol.88 (9-10), p.725-734
Main Authors: Martorano, M.A., Padilha, A.F.
Format: Article
Language:English
Subjects:
geometric dynamic recrystallization
grain boundaries
grain boundary migration
modelling
numerical modelling
recrystallization
serration
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Summary:High-angle grain boundary migration is predicted during geometric dynamic recrystallization (GDRX) by two types of mathematical models. Both models consider the driving pressure due to curvature and a sinusoidal driving pressure owing to subgrain walls connected to the grain boundary. One model is based on the finite difference solution of a kinetic equation, and the other, on a numerical technique in which the boundary is subdivided into linear segments. The models show that an initially flat boundary becomes serrated, with the peak and valley migrating into both adjacent grains, as observed during GDRX. When the sinusoidal driving pressure amplitude is smaller than 2π, the boundary stops migrating, reaching an equilibrium shape. Otherwise, when the amplitude is larger than 2π, equilibrium is never reached and the boundary migrates indefinitely, which would cause the protrusions of two serrated parallel boundaries to impinge on each other, creating smaller equiaxed grains.
ISSN:0950-0839
1362-3036
DOI:10.1080/09500830802286951