Journal article
Representation of the orientation distribution function and computation of first-order elastic properties closures using discrete Fourier transforms
Acta materialia, v 57(13), pp 3916-3923
01 Aug 2009
Abstract
The orientation distribution function (ODF) is most commonly described in the Bunge-Euler space using generalized spherical harmonies (GSH) as a Fourier basis. In this paper. we explore critically the relative advantages and disadvantages of using all alternate description of the ODF using the much more readily accessible discrete Fourier transforms (DFTs). Appropriate protocols to address the consideration of crystal and sample symmetries in the DFT representations of ODFs have been developed and validated in this paper. It was also observed that the representation of first-order texture-elastic property linkages using DFTs needed a higher number of terms compared to the GSH representations. However, the use of DFT representations resulted in major computational economy in producing the ODF plots as well as the delineation of the property closures. It is shown that the improved computational efficiency facilitated the delineation of the first-order elastic property closures involving the normal-shear coupling stiffness coefficients. (C) 2009 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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Details
- Title
- Representation of the orientation distribution function and computation of first-order elastic properties closures using discrete Fourier transforms
- Creators
- Surya R. Kalidindi - Drexel UniversityMarko Knezevic - Drexel UniversityStephen Niezgoda - Drexel UniversityJoshua Shaffer - Drexel University
- Publication Details
- Acta materialia, v 57(13), pp 3916-3923
- Publisher
- Elsevier
- Number of pages
- 8
- Grant note
- 0654179 / NSF-GOAL1 DGE-0221664 / National Science Foundation; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Materials Science and Engineering
- Web of Science ID
- WOS:000268414100022
- Scopus ID
- 2-s2.0-67649101352
- Other Identifier
- 991021901313204721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Materials Science, Multidisciplinary
- Metallurgy & Metallurgical Engineering