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Erschienen in: Journal of Materials Science 5/2020

18.09.2019 | Metals & corrosion

Approximate rotation vector expressions to consider crystal orientation changes in plastically deformed materials

verfasst von: Susumu Onaka

Erschienen in: Journal of Materials Science | Ausgabe 5/2020

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Abstract

Orientation changes are important factors when considering microstructural changes in materials caused by plastic deformation because these are related to the arrangement and density of dislocations. The three elements of a logarithm of a rotation matrix are called log angles, which compose a rotation vector that can be used as a parameter to represent crystal orientations. Herein, approximate expressions of a rotation vector are derived for a product of two small-angle rotations. The degrees of the first-order, second-order and third-order approximations are discussed. The non-commutativity of two rotations is graphically illustrated using the approximate expressions. Experimental results of orientation changes in a cold-rolled Cu bicrystal are considered to evaluate the validity of the approximate expressions. It is shown that a linear approximation for the product of rotation vectors is valid to treat small-angle orientation changes in plastically deformed crystals with dislocation structures.

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Metadaten
Titel
Approximate rotation vector expressions to consider crystal orientation changes in plastically deformed materials
verfasst von
Susumu Onaka
Publikationsdatum
18.09.2019
Verlag
Springer US
Erschienen in
Journal of Materials Science / Ausgabe 5/2020
Print ISSN: 0022-2461
Elektronische ISSN: 1573-4803
DOI
https://doi.org/10.1007/s10853-019-04030-5

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