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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">zldm</journal-id><journal-title-group><journal-title xml:lang="ru">Заводская лаборатория. Диагностика материалов</journal-title><trans-title-group xml:lang="en"><trans-title>Industrial laboratory. Diagnostics of materials</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1028-6861</issn><issn pub-type="epub">2588-0187</issn><publisher><publisher-name>ООО «Издательство «ТЕСТ-ЗЛ»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26896/1028-6861-2022-88-ll-66-72</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-1795</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ИССЛЕДОВАНИЕ СТРУКТУРЫ И СВОЙСТВ. МЕХАНИКА МАТЕРИАЛОВ: ПРОЧНОСТЬ, РЕСУРС, БЕЗОПАСНОСТЬ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TESTING OF STRUCTURE AND PARAMETERS. MECHANICAL TESTING METHODS</subject></subj-group></article-categories><title-group><article-title>АНАЛИЗ МЕТОДОВ ИЗГИБА МАЛОРАЗМЕРНЫХ ДИСКОВ НА КОЛЬЦЕВОЙ ОПОРЕ</article-title><trans-title-group xml:lang="en"><trans-title>ANALYSIS OF THE METHODS FOR BENDING SMALL-SIZED DISKS ON A RING SUPPORT</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гольцев</surname><given-names>В. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Goltsev</surname><given-names>V. Y.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Владимир Юрьевич Гольцев</p><p>115409, Москва, Каширское шоссе, д. 31</p></bio><bio xml:lang="en"><p>Vladimir Yu. Goltsev</p><p>115409, Moscow, Kashirskoe shosse, 31</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Григорьев</surname><given-names>Е. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Grigoryev</surname><given-names>E. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Евгений Григорьевич Григорьев</p><p>142432, г. Черноголовка, Московская обл., ул. Академика Осипьяна, д. 8</p></bio><bio xml:lang="en"><p>Eugeniy G. Grigoryev</p><p>142432, Moscow obi., Chernogolovka, Akademika Osipyana ul., 8</p></bio><email xlink:type="simple">eugengrig@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Осинцев</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Osintsev</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Андрей Вениаминович Осинцев</p><p>115409, Москва, Каширское шоссе, д. 31</p></bio><bio xml:lang="en"><p>Andrey V Osintsev</p><p>115409, Moscow, Kashirskoe shosse, 31</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Плотников</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Plotnikov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Сергеевич Плотников</p><p>115409, Москва, Каширское шоссе, д. 31</p></bio><bio xml:lang="en"><p>Aleksandr S. Plotnikov</p><p>115409, Moscow, Kashirskoe shosse, 31</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Седегов</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Sedegov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алексей Сергеевич Седегов</p><p>142432, г. Черноголовка, Московская обл., ул. Академика Осипьяна, д. 8119049, Москва, Ленинский просп., д. 4</p></bio><bio xml:lang="en"><p>Aleksey S. Sedegov</p><p>142432, Moscow obi., Chernogolovka, Akademika Osipyana ul., 8119049, Moscow, Leninskiy prosp., 4</p></bio><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский ядерный университет «МИФИ»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Nuclear University "МЕРhI"</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт структурной макрокинетики и проблем материаловедения им. Мержанова Российской Академии наук&#13;
(ИСМАН)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Structural Macrokinetics and Materials Science Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Институт структурной макрокинетики и проблем материаловедения им. Мержанова Российской Академии наук&#13;
(ИСМАН); Национальный исследовательский технический университет МИСИС</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Structural Macrokinetics and Materials Science Russian Academy of Sciences; National University of Science and Technology "MISiS"</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>24</day><month>11</month><year>2022</year></pub-date><volume>88</volume><issue>11</issue><fpage>66</fpage><lpage>72</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Гольцев В.Ю., Григорьев Е.Г., Осинцев А.В., Плотников А.С., Седегов А.С., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Гольцев В.Ю., Григорьев Е.Г., Осинцев А.В., Плотников А.С., Седегов А.С.</copyright-holder><copyright-holder xml:lang="en">Goltsev V.Y., Grigoryev E.G., Osintsev A.V., Plotnikov A.S., Sedegov A.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.zldm.ru/jour/article/view/1795">https://www.zldm.ru/jour/article/view/1795</self-uri><abstract><p>Рассмотрен ряд методов испытания на изгиб тонких дисков на кольцевой опоре, предназначенных для определения прочности на разрыв хрупких материалов. Методы различаются типом нагружающего индентора (с плоским, сферическим или тороидальным наконечниками), опорными приспособлениями и расчетными уравнениями для определения разрушающего напряжения. Приведены результаты испытания образцов на кольцевой опоре, изготовленных из двух модельных материалов — чугуна и графита, различающихся степенью хрупкости. Показано, что расчетная прочность испытанных материалов зависит от характера разрушения образцов и вида диаграммы изгиба. Образцы из чугуна разрушались после значительной пластической деформации (характерна диаграмма изгиба, переходящая через максимум), а прочность образцов на разрыв соответствовала прочности материала при сжатии, т.е. в несколько раз превышала прочность при растяжении. Образцы из графита разрушались хрупко (на линейном участке диаграммы изгиба), и расчетное значение прочности было сопоставимо с прочностью материала при растяжении. Сделан вывод, что применение метода испытания тонких дисковых образцов на кольцевой опоре для определения прочности материала при растяжении обосновано лишь в случае абсолютно хрупкого разрушения образцов, для которых характерна диаграмма изгиба, аналогичная диаграмме разрушения образцов из графита. Двумя методами (с плоским и сферическим наконечниками) испытаны одинаковые дисковые образцы из оксида алюминия, полученные методом электроимпульсного спекания. В обоих случаях диаграмма изгиба образцов из оксида алюминия была такой же, как и образцов из графита, т.е. их разрушение происходило на начальном линейном участке диаграммы абсолютно хрупко. Сравнительные результаты испытания образцов из оксида алюминия с учетом данных испытания образцов из модельных материалов (чугуна и графита) показали, что наиболее обоснованными являются испытания на кольцевой опоре дисков с применением индентора с плоским наконечником. Образцы должны быть изготовлены из хрупких материалов, для которых диаграмма изгиба линейна вплоть до разрушения образца.</p></abstract><trans-abstract xml:lang="en"><p>A number of methods for testing bending of thin discs on an annular support designed to determine the tensile strength of brittle materials, are considered. The methods differ in the type of a loading indenter (with flat, spherical, or toroidal tips), support devices, and calculation equations for determination of the breaking stress. The results of testing samples on an annular support made of two model materials which differ in the degree of brittleness, i.e., cast iron and graphite, are presented. It is shown that the calculated strength of the tested materials depends on the character of the sample destruction and on the type of bending diagram. Cast iron samples were destructed under a significant plastic deformation (characteristic bending diagram passed through the maximum), and the tensile strength of the samples corresponded to the compressive strength of the material being several times higher than the tensile strength of the material. Graphite samples underwent brittle fracture (within the linear section of the bending diagram), and the calculated strength value was comparable to the tensile strength of the material. A conclusion is made that the use of the test method of thin disk samples on an annular support for determination of the tensile strength of the material is substantiated only in the case of absolutely brittle fracture of samples with a bending diagram similar to the fracture diagram of graphite samples. Disk samples made of aluminum oxide obtained by electro-pulse sintering were tested using two methods (with flat and spherical tips). In both cases, the bending diagram of aluminum oxide samples was similar to that of graphite samples, i.e., their destruction occurred at the initial linear section of the diagram and was absolutely brittle. The results of comparative testing of the samples made of aluminum oxide, taking into account the results of testing samples made of model materials (cast iron and graphite), showed that tests on the annular support of disks using a flat-tipped indenter are the most grounded. The samples should be made of brittle materials having a linear bending diagram up to the sample destruction.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>изгиб диска на кольцевой опоре</kwd><kwd>прочность на разрыв</kwd><kwd>малоразмерные образцы</kwd><kwd>нагружающий индентор</kwd></kwd-group><kwd-group xml:lang="en"><kwd>disk bending on an annular support</kwd><kwd>tensile strength</kwd><kwd>small-sized samples</kwd><kwd>loading indenter</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Munir Z. A., Anselmi-Tamburini U., Ohyanagi М. The effect of electric field and pressure on the synthesis and consolidation of materials: A review of the spark plasma sintering method / Journal of Materials Science. 2006. Vol. 41. P 763-777. DOI:10.1007/s10853-006-6555-2</mixed-citation><mixed-citation xml:lang="en">Munir Z. A., Anselmi-Tamburini U., Ohyanagi M. 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