zldmЗаводская лаборатория. Диагностика материаловIndustrial laboratory. Diagnostics of materials1028-68612588-0187ООО «Издательство «ТЕСТ-ЗЛ»10.26896/1028-6861-2023-89-9-34-40zldm-2011Research ArticleИССЛЕДОВАНИЕ СТРУКТУРЫ И СВОЙСТВ. ФИЗИЧЕСКИЕ МЕТОДЫ ИССЛЕДОВАНИЯ И КОНТРОЛЯTESTING OF STRUCTURE AND PARAMETERS. PHYSICAL METHODS OF TESTING AND QUALITY CONTROLВосстановление функции распределения ориентировок для материалов с низкой симметрией решетки и образца гармоническим методомRestoration of the orientation distribution function for materials with low lattice and sample symmetry using the harmonic methodКоляноваА. С.KolyanovaA. S.

Александра Сергеевна Колянова

119334, Москва, Ленинский пр-т, д. 49

Aleksandra S. Kolyanova

49, Leninsky prosp., Moscow, 119334

sasha-kolianova@yandex.ruИнститут металлургии и материаловедения имени А. А. Байкова РАН (ИМЕТ РАН)РоссияBaikov Institute of Metallurgy and Materials Science, RAS (IMET RAS)Russian Federation2023240920238993440Copyright © Колянова А.С., 20232023Колянова А.С.Kolyanova A.S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.zldm.ru/jour/article/view/2011

Многие свойства поликристаллических материалов зависят от кристаллографической текстуры, наиболее полную информацию о которой дает функция распределения ориентировок (ФРО). Основная задача количественного текстурного анализа — восстановление ФРО по ее двумерным проекциям — полюсным фигурам, получаемым методами рентгеновской либо нейтронной дифракции. В работе представлены результаты восстановления ФРО для материалов с низкой симметрией решетки и образца с использованием гармонического метода. Метод основан на разложении ФРО в ряд Фурье по трехмерным симметричным сферическим функциям. Использовали действительные функции — линейные комбинации соответствующих комплексных сферических функций. Исследовали модельную однокомпонентную текстуру и текстуру образца сплава магния, подвергнутого равноканальному угловому прессованию. Текстуры характеризуются гексагональной симметрией решетки и триклинной симметрией образца. В обоих случаях RP-факторы и погрешность расчета ФРО, применяемые для проверки адекватности решения, показали хорошее совпадение расчетных и исходных данных. Получено также, что на ФРО образца сплава магния присутствуют две текстурные компоненты (1216)[1211] и (1216)[1211] с максимальными интенсивностями 13,81 и 2,23 соответственно. Полученные результаты могут быть использованы при текстурных исследованиях керамики, горных пород и других неметаллических материалов с низкой симметрией.

A lot of the properties polycrystalline materials depend on their crystallographic texture. The most complete information about the texture can be obtained from the orientation distribution function (ODF). We present the results of recovering ODF using series expansion technique for materials with low crystal and sample symmetry. The technique of ODF restoration is based on its Fourier series expansion with symmetrical spherical harmonic functions. Real spherical harmonics which are linear combinations of general spherical harmonics were used. The model single-component texture as well as the real texture of magnesium alloy sample subjected to equal-channel angular pressing have been studied. Textures are characterized by hexagonal crystal symmetry and triclinic sample symmetry. In both cases RP-factors and ODF calculation errors that were used as reliability criteria of ODF reconstruction showed good agreement between the calculated and experimental data. It was also revealed that the ODF of a magnesium alloy sample subjected to equal-channel angular pressing contains two texture components (1216)[1211] and (1216)[1211] with maximum intensity values of 13.81 and 2.23, respectively. The results obtained can be used for texture studies of ceramics, rocks and other non-metallic materials characterized by a lower symmetry.

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The authors declare that there are no conflicts of interest present.