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Rotation field and continuity equation for texture evolution
Author(s) -
Wierzbanowski K.,
Clement A.
Publication year - 1984
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170190211
Subject(s) - texture (cosmology) , rotation (mathematics) , orientation (vector space) , field (mathematics) , variable (mathematics) , function (biology) , distribution function , mathematics , mathematical analysis , geometry , physics , pure mathematics , computer science , artificial intelligence , image (mathematics) , thermodynamics , biology , evolutionary biology
In the present paper a quite general approach is proposed for the problem of the formation of the prefered orientations (i.e. of the texture). The rotation field is considered by the present authors as the most general variable which describes completely the texture formation process. The proposed continuity equation transforms immediately the rotation field to the texture function (Orientation distribution function). The presented formatlism is illustrated by a few f.c.c. rolling textures.