Restoration of Orientation Distribution Function Using Texture Components with Radial Normal Distributions
Autor: | T. M. Ivanova, V. N. Serebryanyi |
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Rok vydání: | 2018 |
Předmět: |
010302 applied physics
Observational error General Chemical Engineering Mathematical analysis Metals and Alloys 02 engineering and technology Pole figure 021001 nanoscience & nanotechnology 01 natural sciences Nonlinear programming Inorganic Chemistry Normal distribution Superposition principle Distribution function Orientation (geometry) 0103 physical sciences Materials Chemistry Texture (crystalline) 0210 nano-technology Mathematics |
Zdroj: | Inorganic Materials. 54:1477-1482 |
ISSN: | 1608-3172 0020-1685 |
DOI: | 10.1134/s0020168518150062 |
Popis: | The methods for restoration of the orientation distribution function (ODF) from experimental pole figures have been compared for materials possessing a low symmetry of specimen (by example of the median section of the hot-pressed band from Mg–4.5% Nd magnesium alloy), namely, the method of texture components using radial normal distributions on SO(3) with different spreading and the method of superposition of a large number of normal distributions with equivalent small spreading. Both approaches have demonstrated similar ODFs. In this case, the former method, which is less sensitive to measurement errors of pole figures, is based on nonlinear optimization with a complex choice of initial approximations of the parameters of the model. The latter approach is more sensitive and easier to use. |
Databáze: | OpenAIRE |
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