A multivariate grain size and orientation distribution function

Derivation from electron backscatter diffraction data and applications

Journal Article (2021)
Author(s)

Jesus Galan Lopez (TU Delft - Team Erik Offerman)

LAI Kestens (TU Delft - Team Kevin Rossi)

Research Group
Team Erik Offerman
Copyright
© 2021 J. Galan Lopez, L.A.I. Kestens
DOI related publication
https://doi.org/10.1107/S1600576720014909
More Info
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Publication Year
2021
Language
English
Copyright
© 2021 J. Galan Lopez, L.A.I. Kestens
Research Group
Team Erik Offerman
Volume number
54
Pages (from-to)
148-162
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Abstract

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.