DESCRIPTION OF THE 3D MORPHOLOGY OF GRAIN BOUNDARIES IN ALUMINUM ALLOYS USING TESSELLATION MODELS GENERATED BY ELLIPSOIDS

Authors

  • Ondřej Šedivý Institute of Stochastics, Ulm University Institute of Physics, Czech Academy of Sciences
  • Jules Mullen Dake Institute of Micro and Nanomaterials, Ulm University
  • Carl Emil Krill III Institute of Micro and Nanomaterials, Ulm University
  • Volker Schmidt Institute of Stochastics, Ulm University
  • Aleš Jäger Institute of Physics, Czech Academy of Sciences

DOI:

https://doi.org/10.5566/ias.1656

Keywords:

curvature, dihedral angle, grain boundary, polycrystalline material, tessellation

Abstract

Parametric tessellation models are often used to approximate complex grain morphologies of polycrystalline microstructures. A big advantage of such models is the substantial reduction in disk space required to store large, three-dimensional data sets, especially when compared with voxel-based alternatives. By selection of an appropriate tessellation model, a reasonably small loss of information on the real grain shapes can usually be achieved. Special attention has recently been devoted to models based on ellipsoidal approximations fitted to each grain. Faces of these tessellations are portions of quadric surfaces whose parameters can be derived easily. In this paper, we deal with geometric features of the structure, notably curvatures and dihedral angles, which are closely related to the kinetics of grain growth. These characteristics are computed for ellipsoidbased tessellations fitted to two different aluminum alloys with nominal composition Al-3 wt% Mg-0.2 wt% Sc and Al-1 wt% Mg. The results are then compared with estimations based on meshed empirical data. We observe that the model offers more consistent estimations of grain shape characteristics than do the meshed empirical data. Precise description of grain boundaries by the model is also promising with respect to possible applications of these tessellations in stochastic space-time modeling of grain growth. 

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Published

2017-03-31

How to Cite

Šedivý, O., Dake, J. M., Krill III, C. E., Schmidt, V., & Jäger, A. (2017). DESCRIPTION OF THE 3D MORPHOLOGY OF GRAIN BOUNDARIES IN ALUMINUM ALLOYS USING TESSELLATION MODELS GENERATED BY ELLIPSOIDS. Image Analysis and Stereology, 36(1), 5–13. https://doi.org/10.5566/ias.1656

Issue

Vol. 36 No. 1 (2017)

Section

Original Research Paper

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Copyright (c) 2017 Image Analysis & Stereology

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