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Book Chapter

Descriptive tools for the analysis of texture projects with large datasets using MTEX: strength, symmetry and components

By
David Mainprice
David Mainprice
Geosciences Montpellier UMR CNRS 5243, Université Montpellier 2, 34095 Montpellier Cedex 05, France
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Florian Bachmann
Florian Bachmann
Mathematische Geologie und Geoinformatik, Institut für Geophysik und Geoinformatik, Technische Universität Freiberg, 09596 Freiberg, Germany
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Ralf Hielscher
Ralf Hielscher
Fakultät für Mathematik, Technische Universität Chemnitz, 09126 Chemnitz, Germany
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Helmut Schaeben
Helmut Schaeben
Mathematische Geologie und Geoinformatik, Institut für Geophysik und Geoinformatik, Technische Universität Freiberg, 09596 Freiberg, Germany
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Published:
January 01, 2016

Abstract

This paper presents the background for the calculation of various numbers that can be used to characterize crystal-preferred orientation (CPO), also known as texture in materials science, for large datasets using the combined scripting possibilities of MTEX and MatLab®. The paper is focused on three aspects in particular: the strength of CPO represented by orientation and misorientation distribution functions (ODFs, MDFs) or pole figures (PFs); symmetry of PFs and components of ODFs; and elastic tensors. The traditional measurements of texture strength of ODFs, MDFs and PFs are integral measurements of the distribution squared. The M-index is a partial measure of the MDF as the difference between uniform and measured misorientation angles. In addition there other parameters based on eigen analysis, but there are restrictions on their use. Eigen analysis does provide some shape factors for the distributions. The maxima of an ODF provides information on the modes. MTEX provides an estimate of the lower bound uniform fraction of an ODF. Finally, we illustrate the decomposition of arbitrary elastic tensor into symmetry components as an example of components in anisotropic physical properties. Ten examples scripts and their output are provided in the appendix.

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Contents

Geological Society, London, Special Publications

Rock Deformation from Field, Experiments and Theory: A Volume in Honour of Ernie Rutter

D. R. Faulkner
D. R. Faulkner
University of Liverpool, UK
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E. Mariani
E. Mariani
University of Liverpool, UK
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J. Mecklenburgh
J. Mecklenburgh
University of Manchester, UK
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Geological Society of London
Volume
409
ISBN electronic:
9781862396975
Publication date:
January 01, 2016

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