Study of special triple junctions and faceted boundaries by means of the CSL model

Abstract

Sufficient work has been made until now on the grain boundaries (GBs) multi‐junctions in different polycrystalline cubic materials by using electron microscopy. In the present work the main characteristics of the majority of the junctions reported are theoretically investigated. In fact triple junctions (TJs) show a very systematic geometrical relationship, as far as the thermodynamically favorable grain boundaries are concerned. Thus the possible intersection of three grain boundaries is examined by using the analytical expression of the CSL rotation matrix and the CSL symmetry for cubic system. The general properties obtained are applied on TJs containing low ∑ value grain boundaries and the resulting junctions are examined according to their stability.

Twins and twin-related domains in a grain boundary-engineered 304 stainless steel

“…It may be a triple junction [25,29,54,55], but it is not necessary because the three grains may have no common point. The CSL theory between the three boundaries of a trigon is generally described by the rule that was proposed by Doni and Bleris [56] (D-Bequation):…”

“…It may be a triple junction [25,29,54,55], but it is not necessary because the three grains may have no common point. The CSL theory between the three boundaries of a trigon is generally described by the rule that was proposed by Doni and Bleris [56] (D–B-equation): where GB 1 , GB 2 , and GB 3 are the three sides of the trigon. However, the triangular relationships of grain 1–5–13–1, 5–7–13–5, and 5–10–17–5, in Figure 8(d, e), do not follow the D–B-equation.…”

Combination Rule of Σ Values at Triple Junctions in Cubic Polycrystals

“…Equation (15) appeared in Doni & Bleris (1988) but it is a special case of the general expression (51).…”