Abstract
AbstractAlthough originally proposed for high-angle boundaries, a relation of the Hall–Petch type has been applied by a number of authors to low-angle boundaries produced by high-temperature deformation. Investigations published to date include data on commercially pure Al and Fe and on silicon steel; in these studies room-temperature testing showed that the following relation applies: S = S 0′ + K′d−1/2. Here S represents the mechanical property being measured, d is the mean sub grain size, and S 0′ and K′ are empirical constants. However, this relation has previously been applied only to small ranges of sub grain size, and neither S 0′ nor K′ has any fundamental significance. A rationalization is proposed in which the published observations are reinterpreted in terms of sub-boundary strengths that depend on sub-boundary misorientation and perfection and therefore, indirectly, on sub grain size. According to this view, the relatively perfect sub-boundaries formed at creep strain rates have low strengths;...
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