2001
DOI: 10.1002/1527-2648(200101)3:1/2<25::aid-adem25>3.0.co;2-8
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Orientation Stereology—A New Branch in Texture Research

Abstract: A microstructure function, G(x), is introduced as a general description of microstructure by considering simultaneously the spatial arrangement of phases, i(x), of crystallographic orientations, g(x), as well as of lattice defects and residual stress, D(x). Particular emphasis is laid on the orientation–location distribution function, g(x), which is the quantification of orientation stereology. From this function the classical texture as well as the classical (grain) stereology can be derived (but not vice ver… Show more

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Cited by 42 publications
(21 citation statements)
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“…The future of quantitative texture analysis may involve the incorporation of the additional dimensionalities of spatiality, lattice defects and residual stress into a complete microstructure distribution function, G(x) [75]. Thus, micron-size-scale diffraction techniques for measuring the spatial distribution of grain and domain orientations will become necessary in the near future.…”
Section: Crystallographic Texturementioning
confidence: 99%
“…The future of quantitative texture analysis may involve the incorporation of the additional dimensionalities of spatiality, lattice defects and residual stress into a complete microstructure distribution function, G(x) [75]. Thus, micron-size-scale diffraction techniques for measuring the spatial distribution of grain and domain orientations will become necessary in the near future.…”
Section: Crystallographic Texturementioning
confidence: 99%
“… Influence of micro‐anisotropy of the crystals on the macro‐anisotropy of the material, after Bunge and Schwarzer 96 …”
Section: Introductionmentioning
confidence: 99%
“…From these parameters, the grain size and shape can also be obtained, yielding the complete orientation stereology of the polycrystalline aggregate. [4] For the high location resolution case, the intensity at any point of the diagrams corresponds to a pole density as a function of {v,g,y,z}; it is always projected over an angle c around the diffraction vector and the coordinate x in the beam direction.…”
Section: Discussionmentioning
confidence: 99%
“…[1] The complete description of a polycrystalline aggregate is given by the orientation stereology g(x) which specifies the orientation g in any small volume element at a local position x. [4,13] The orientation stereology can be measured with the scanning electron microscopy (SEM) technique of orientation imaging microscopy, which is also called orientation topology. [2,3] However, this yields only a two-dimensional section of the function g(x) at the sample surface and is not suited to measurement of the kinetics g(x,t) of the three-dimensional orientation stereology function, for example, during recrystallization processes, particularly not in the interior of the material.…”
Section: Introductionmentioning
confidence: 99%