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A STUDY OF ANGULAR DISTRIBUTIONS OF CRYSTALLITES IN POLYCRYSTALS WITH HCP-STRUCTURE. / Stepanenko, A. V.
In: Международный научно-исследовательский журнал, No. 1-1 (103), 2021, p. 139-144.

Research output: Contribution to journal › Article › peer-review

Harvard

Stepanenko, AV 2021, 'A STUDY OF ANGULAR DISTRIBUTIONS OF CRYSTALLITES IN POLYCRYSTALS WITH HCP-STRUCTURE', Международный научно-исследовательский журнал, no. 1-1 (103), pp. 139-144. https://doi.org/10.23670/IRJ.2021.103.1.021

APA

Stepanenko, A. V. (2021). A STUDY OF ANGULAR DISTRIBUTIONS OF CRYSTALLITES IN POLYCRYSTALS WITH HCP-STRUCTURE. Международный научно-исследовательский журнал, (1-1 (103)), 139-144. https://doi.org/10.23670/IRJ.2021.103.1.021

Vancouver

Stepanenko AV. A STUDY OF ANGULAR DISTRIBUTIONS OF CRYSTALLITES IN POLYCRYSTALS WITH HCP-STRUCTURE. Международный научно-исследовательский журнал. 2021;(1-1 (103)):139-144. doi: 10.23670/IRJ.2021.103.1.021

Author

Stepanenko, A. V. / A STUDY OF ANGULAR DISTRIBUTIONS OF CRYSTALLITES IN POLYCRYSTALS WITH HCP-STRUCTURE. In: Международный научно-исследовательский журнал. 2021 ; No. 1-1 (103). pp. 139-144.

BibTeX

@article{c718a72e0eda43338a39d3d6dd4c0a47,
title = "A STUDY OF ANGULAR DISTRIBUTIONS OF CRYSTALLITES IN POLYCRYSTALS WITH HCP-STRUCTURE",
abstract = "The crystallographic texture determines the anisotropy of the physical properties of metals and alloys. In practice, a widespread method for calculating the anisotropy of the physical properties of polycrystals, based on the use of the distribution function of crystallite orientations. The main mathematical method for obtaining the distribution function of crystallite orientations is associated with the expansion of the distribution function in a series in generalized spherical functions and with the expansion of pole figures in a series in spherical functions (the Roe-Bunge method). However, the distribution function by crystallite orientations, in principle, cannot be unambiguously determined from the pole figures. A simple method is proposed for obtaining 푓(휃) of the angular distribution function of crystallites over orientations in polycrystals with a basic texture. The basic texture leads to isotropy of properties in the rolling plane of metals with an hcp structure. Therefore, the angular distribution of crystallites 푓(휃) relative to the normal to the rolling plane (distribution over the polar angle θ) is of interest. The crystallite distribution function 푓(휃) can be used to calculate the anisotropic physical properties of a polycrystal.",
author = "Stepanenko, {A. V.}",
year = "2021",
doi = "10.23670/IRJ.2021.103.1.021",
language = "English",
pages = "139--144",
journal = "Международный научно-исследовательский журнал",
issn = "2303-9868",
publisher = "Индивидуальный предприниматель Соколова Марина Владимировна",
number = "1-1 (103)",

}

RIS

TY - JOUR

T1 - A STUDY OF ANGULAR DISTRIBUTIONS OF CRYSTALLITES IN POLYCRYSTALS WITH HCP-STRUCTURE

AU - Stepanenko, A. V.

PY - 2021

Y1 - 2021

N2 - The crystallographic texture determines the anisotropy of the physical properties of metals and alloys. In practice, a widespread method for calculating the anisotropy of the physical properties of polycrystals, based on the use of the distribution function of crystallite orientations. The main mathematical method for obtaining the distribution function of crystallite orientations is associated with the expansion of the distribution function in a series in generalized spherical functions and with the expansion of pole figures in a series in spherical functions (the Roe-Bunge method). However, the distribution function by crystallite orientations, in principle, cannot be unambiguously determined from the pole figures. A simple method is proposed for obtaining 푓(휃) of the angular distribution function of crystallites over orientations in polycrystals with a basic texture. The basic texture leads to isotropy of properties in the rolling plane of metals with an hcp structure. Therefore, the angular distribution of crystallites 푓(휃) relative to the normal to the rolling plane (distribution over the polar angle θ) is of interest. The crystallite distribution function 푓(휃) can be used to calculate the anisotropic physical properties of a polycrystal.

AB - The crystallographic texture determines the anisotropy of the physical properties of metals and alloys. In practice, a widespread method for calculating the anisotropy of the physical properties of polycrystals, based on the use of the distribution function of crystallite orientations. The main mathematical method for obtaining the distribution function of crystallite orientations is associated with the expansion of the distribution function in a series in generalized spherical functions and with the expansion of pole figures in a series in spherical functions (the Roe-Bunge method). However, the distribution function by crystallite orientations, in principle, cannot be unambiguously determined from the pole figures. A simple method is proposed for obtaining 푓(휃) of the angular distribution function of crystallites over orientations in polycrystals with a basic texture. The basic texture leads to isotropy of properties in the rolling plane of metals with an hcp structure. Therefore, the angular distribution of crystallites 푓(휃) relative to the normal to the rolling plane (distribution over the polar angle θ) is of interest. The crystallite distribution function 푓(휃) can be used to calculate the anisotropic physical properties of a polycrystal.

UR - https://www.elibrary.ru/item.asp?id=44632489

U2 - 10.23670/IRJ.2021.103.1.021

DO - 10.23670/IRJ.2021.103.1.021

M3 - Article

SP - 139

EP - 144

JO - Международный научно-исследовательский журнал

JF - Международный научно-исследовательский журнал

SN - 2303-9868

IS - 1-1 (103)

ER -

ID: 20909835