Combination Rule of Σ Values at Triple Junctions in Cubic Polycrystals - Concepedia

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Combination Rule of Σ Values at Triple Junctions in Cubic Polycrystals

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1996

Year

Kun’ichi Miyazawa, Yosuke Iwasaki, Kazuma Ito, Y. Ishida

Acta Crystallographica Section A Foundations of Crystallography

Materials Scienceσ ValuesEngineeringPhysicsCombination RuleCubic PolycrystalsApplied PhysicsTriple JunctionsCoincidence BoundariesSolid MechanicsCrystallographyCoincidence Orientation Relationships

Abstract

In cubic polycrystals, combinations of coincidence orientation relationships at a triple junction of grains A, B and C can be obtained by using the equation ΣCA = ΣABΣBC/d2, where d is a common divisor of ΣAB and ΣBC. This paper describes the derivation of this equation and shows several models of polycrystals composed of specially selected coincidence boundaries using the above equation.