Frequencies of Tilt and Twist Boundaries among Random Grain Boundaries

Adam Morawiec

doi:10.4028/www.scientific.net/SSP.160.95

Paper Titles

Structure Stability and Magnetic Properties of Ni₂XGa (X = Mn, Fe, Co) Ferromagnetic Shape Memory Alloys by DFT Approach
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Magnetic Quantitative Texture Analysis Using Isotropic Thermal Neutron Beams
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Influence of the Crystallographic and the Morphological Texture on the Elastic Properties of Fcc Crystal Aggregates
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On the Combination of Self-Consistent and Geometric Mean Elements for the Calculation of the Elastic Properties of Textured Multi-Phase Samples
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Frequencies of Tilt and Twist Boundaries among Random Grain Boundaries
p.95

Texture/Stress Characteristics of Microstructure Used in Interpreting Deformation Effects of Ti Subjected to ECAP Process
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Stress, Texture and Phase Transformation in Titanium Thin Films
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Effect of Texture on Damping Behaviour in an AZ80 Alloy
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Texture Development in Zr-Based Alloys by High-Temperature Forging as Indicator of Interaction between Plastic Deformation and α↔β Phase Transform Actions
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Frequencies of Tilt and Twist Boundaries among Random Grain Boundaries

Abstract:

There are a number of classifications of homophase grain boundaries. It is quite common to divide them into twist, tilt and general boundaries. As in the case of the classification into coincident lattice (CSL) boundaries and non-CSL boundaries, one may ask about the possible frequencies of incidence of tilt and twist boundaries in a set of “random” boundaries. The proba¬bilities of occurrence of these particular boundary types are clearly defined if small deviations from pure twist and tilt conditions are allowed. We estimated the probabilities numerically for the cases of cubic and hexagonal holohedries. For a given randomly generated boundary, a computer program searched for the nearest pure-tilt and pure-twist boundaries. All symmetrically equivalent representations of the random boundary were processed, and the smallest distance was taken as the result. The distance was based on both the difference in misorientations and the deviation between boundary inclinations. The findings concerning tilt boundaries turned out to be striking. For instance, if the allowed deviation from pure-tilt conditions is only 1°, then as many as 39.0% and 21.2% of random boundaries have near-tilt character for the cubic and hexagonal cases, respectively. If the limiting deviation is raised to 5°, the frequencies of near-tilt boundaries reach 98.6% and 77.0%, respectively.