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A multivariate grain size and orientation distribution function: derivation from electron backscatter diffraction data and applications
- Source :
- Journal of Applied Crystallography, 54, Journal of Applied Crystallography
- Publication Year :
- 2021
- Publisher :
- International Union of Crystallography (IUCr), 2021.
-
Abstract
- Grain size distribution and orientation distribution functions are combined in a single multivariate continuous grain size orientation distribution function (GSODF). Several examples of practical applications to low carbon steels are presented, in which it is shown how the GSODF can be used in the analysis of 2D and 3D electron backscatter diffraction data, and as input in full-field and mean-field crystal plasticity simulations.<br />Two of the microstructural parameters most influential in the properties of polycrystalline materials are grain size and crystallographic texture. Although both properties have been extensively studied and there are a wide range of analysis tools available, they are generally considered independently, without taking into account the possible correlations between them. However, there are reasons to assume that grain size and orientation are correlated microstructural state variables, as they are the result of single microstructural formation mechanisms occurring during material processing. In this work, the grain size distribution and orientation distribution functions are combined in a single multivariate grain size orientation distribution function (GSODF). In addition to the derivation of the function, several examples of practical applications to low carbon steels are presented, in which it is shown how the GSODF can be used in the analysis of 2D and 3D electron backscatter diffraction data, as well as in the generation of representative volume elements for full-field models and as input in simulations using mean-field methods.
- Subjects :
- Materials science
orientation distribution function
EBSD
representative volume element
02 engineering and technology
ODF
01 natural sciences
Texture (geology)
General Biochemistry, Genetics and Molecular Biology
0103 physical sciences
Range (statistics)
electron backscatter diffraction
Statistical physics
grain size
010302 applied physics
021001 nanoscience & nanotechnology
Research Papers
RVE
Grain size
Distribution function
Particle-size distribution
Representative elementary volume
Crystallite
0210 nano-technology
texture
Electron backscatter diffraction
Subjects
Details
- ISSN :
- 16005767 and 00218898
- Volume :
- 54
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Crystallography
- Accession number :
- edsair.doi.dedup.....732088d0ac83fe742c34fbddb0c24952