Construction of weighted crystallographic orientations capturing a given orientation density function

To be useful in numerical simulations of e.g. deformation processes, EBSD datasets of crystallographic orientations have to be downsized by several orders of magnitude yet preserving the orientation density function approximately. The objective is either to preserve the overall shape of the initiall...

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Bibliographic Details
Published in:	Journal of materials science Vol. 52; no. 4; pp. 2077 - 2090
Main Authors:	Schaeben, Helmut, Bachmann, Florian, Fundenberger, Jean-Jacques
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.02.2017 Springer Springer Nature B.V
Subjects:	Characterization and Evaluation of Materials Chemistry and Materials Science Classical Mechanics Computer simulation Crystallites crystallization Crystallography Crystallography and Scattering Methods data collection Datasets Deformation Density Dirichlet problem Economic models Fourier series Fourier transforms Kernels least squares Linearity Materials Science mathematical models Numerical analysis Orientation Original Paper Polymer Sciences Recrystallization Series expansion Solid Mechanics Specific gravity Truncation errors zirconium Orientation Density Function (ODF) Poussin Kernel Kernel Density Estimate Dirichlet Kernel Electron Back Scatter Diffraction (EBSD)
ISSN:	0022-2461, 1573-4803
Online Access:	Get full text
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