1989
DOI: 10.1107/s0021889889005261
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The iterative series-expansion method for quantitative texture analysis. I. General outline

Abstract: The orientation distribution function (ODF) of the crystallites of polycrystalline materials can be calculated from experimentally measured pole density distribution functions (pole figures). This procedure, called pole-figure inversion, can be achieved by the series-expansion method (harmonic method). As a consequence of the (hkl)-(hkl) superposition, the solution is mathematically not unique. Rather it contains a range of possible solutions (kernel) which is only limited by the positivity condition of the di… Show more

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Cited by 275 publications
(145 citation statements)
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“…Pole figure A pole figure is a common and effective quantitative method for evaluating the texture development in materials [106]. A pole figure provides information on the distribution of preferential orientation in materials.…”
Section: Lotgering Orientation Factormentioning
confidence: 99%
“…Pole figure A pole figure is a common and effective quantitative method for evaluating the texture development in materials [106]. A pole figure provides information on the distribution of preferential orientation in materials.…”
Section: Lotgering Orientation Factormentioning
confidence: 99%
“…Based on these pole figures, orientation distribution function (ODF) was calculated by the Dahms-Bunge method. 9) Textures were examined on the basis of pole figures and inverse pole figures derived from the ODF. Figure 2 shows the true stress-true strain curves for the deformation at various temperatures and true strain rates, (a)…”
Section: Methodsmentioning
confidence: 99%
“…The orientation distribution functions (ODF's) were calculated from these pole figure data using Bunge's series expansion method 17) with an expansion degree of l max ϭ22. 18) The textures are presented in the reduced 0Յj 1 , F, j 2 Յ90°Euler space due to their cubic crystal and orthorhombic sample symmetries.…”
Section: Methodsmentioning
confidence: 99%