Comparison of two methods for the ODF modeling for magnesium alloy with low symmetry

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Ivanova, T.M.^1 ; Serebryany, V.N.^2

National Research Nuclear University, 31 Kashirskoe Shosse, Moscow

115409, Russia^1

Laboratory of Crystal Structural Research, Institute of Metallurgy and Material Science, RAS, 49 Leninsky Prospect, Moscow

119991, Russia^2

关键词: Experimental errors;    Grid methods;    Initial approximation;    Non-linear optimization;    Orientation distribution function;    Pole figure;    Selection problems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012049/pdf
DOI  :  10.1088/1742-6596/788/1/012049

来源: IOP

【 摘 要 】

In this work we compare two methods for the reconstruction of orientation distribution function (ODF) from experimental pole figures. The magnesium alloy sample Mg-4.5%Nd is used for the investigation. The component fit method with the central normal distributions on SO(3) and the orientation grid method demonstrate similar reconstructed ODF. The component fit method is more robust to experimental errors, however it relies on nonlinear optimization with a set of initial approximations provided by a complicated selection problem. The orientation grid method is more sensitive, but easier to implement.