TY - JOUR
T1 - A multivariate grain size and orientation distribution function
T2 - Derivation from electron backscatter diffraction data and applications
AU - Galan Lopez, J.
AU - Kestens, L.A.I.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - EBSD
KW - electron backscatter diffraction
KW - grain size
KW - ODF
KW - orientation distribution function
KW - representative volume element
KW - RVE.
KW - texture
UR - http://www.scopus.com/inward/record.url?scp=85110692786&partnerID=8YFLogxK
U2 - 10.1107/S1600576720014909
DO - 10.1107/S1600576720014909
M3 - Article
AN - SCOPUS:85110692786
SN - 0021-8898
VL - 54
SP - 148
EP - 162
JO - Journal of Applied Crystallography
JF - Journal of Applied Crystallography
ER -