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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">10.26896/1028-6861-2026-92-3-57-70</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-2761</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>Проблемы определения радиационного упрочнения сталей при ионном облучении с использованием инструментального индентирования</article-title><trans-title-group xml:lang="en"><trans-title>The problems for radiation hardening determination of the steels under ion irradiation using instrumental indentation</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>Марголин</surname><given-names>Б. З.</given-names></name><name name-style="western" xml:lang="en"><surname>Margolin</surname><given-names>B. Z.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Борис Захарович Марголин</p><p>191015, г. Санкт-Петербург, Шпалерная ул., 49</p></bio><bio xml:lang="en"><p>Boris Z. Margolin</p><p>49, Shpalernaya ul., St. Petersburg, 191015</p></bio><email xlink:type="simple">margolinbz@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Беляева</surname><given-names>Л. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Belyaeva</surname><given-names>L. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Любовь Афанасьевна Беляева</p><p>191015, г. Санкт-Петербург, Шпалерная ул., 49</p></bio><bio xml:lang="en"><p>Lyubov A. Belyaeva</p><p>49, Shpalernaya ul., St. Petersburg, 191015</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>Сорокин</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Sorokin</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Андреевич Сорокин</p><p>191015, г. Санкт-Петербург, Шпалерная ул., 49</p></bio><bio xml:lang="en"><p>Aleksander A. Sorokin</p><p>49, Shpalernaya ul., St. Petersburg, 191015</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>Гладких</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Gladkikh</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Екатерина Владимировна Гладких</p><p>108840, Москва, г. Троицк, Центральная ул., 7а</p></bio><bio xml:lang="en"><p>Ekaterina V. Gladkikh</p><p>7a, Tsentralnaya ul., Troitsk, Moscow, 108840</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>НИЦ «Курчатовский институт» — ЦНИИ КМ «Прометей»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>NRC «Kurchatov Institute» — CRISM «Prometey»</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>НИЦ «Курчатовский институт» — ТИСНУМ</institution><country>Россия</country></aff><aff xml:lang="en"><institution>NRC «Kurchatov Institute» — «TISNCM»</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>26</day><month>03</month><year>2026</year></pub-date><volume>92</volume><issue>3</issue><fpage>57</fpage><lpage>70</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Марголин Б.З., Беляева Л.А., Сорокин А.А., Гладких Е.В., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Марголин Б.З., Беляева Л.А., Сорокин А.А., Гладких Е.В.</copyright-holder><copyright-holder xml:lang="en">Margolin B.Z., Belyaeva L.A., Sorokin A.A., Gladkikh E.V.</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/2761">https://www.zldm.ru/jour/article/view/2761</self-uri><abstract><p>Рассмотрена возможность применения метода инструментального индентирования пирамидой Берковича для определения микротвердости и радиационного упрочнения сталей в результате ионного облучения. Выявлены основные трудности, возникающие при оценке микротвердости тонкого облученного слоя. В первую очередь они связаны с тем, что при определении микротвердости по диаграмме индентирования с использованием общепринятых формул Oliver и Pharr наблюдается ее зависимость от глубины индентирования даже для однородного материала. Отмечены недостатки комбинированного подхода оценки микротвердости — по диаграмме индентирования в сочетании с обработкой зависимости микротвердости от глубины индентирования с помощью диаграмм Nix и Gao. Предложен метод определения микротвердости, основанный на прямом измерении площади отпечатка индентора, позволяющий исключить влияние глубины индентирования на микротвердость для однородного материала. Показано, что для однородного материала микротвердость при индентировании как пирамидой Берковича, так и пирамидой Виккерса не зависит от глубины индентирования, если площадь отпечатка определяется непосредственно по измерению его геометрических характеристик. Предложенный метод позволяет получать адекватные оценки радиационного упрочнения тонкого слоя материала, облученного ионами. Метод апробирован при индентировании с постоянной скоростью деформации образцов аустенитной и ферритно-мартенситной стали.</p></abstract><trans-abstract xml:lang="en"><p>The application of instrumental indentation method with the Berkovich pyramid for determination of the microhardness and radiation hardening of steels after ion irradiation is considered. The main difficulties arising in microhardness determination of a thin irradiated layer are identified. First of all, such difficulties arise when microhardness is determined with indentation diagram and the Oliver and Pharr formulae. For this case the dependence of microhardness on the indentation depth is observed even for homogeneous material. Disadvantages of microhardness determination are considered when the combine approach is used that includes processing indentation diagram with the Oliver and Pharr formulae and processing dependence of microhardness on indentation depth by the Nix and Gao diagram. A method for determining microhardness based on direct measurement of the indent projection area is proposed, which allows eliminating the influence of indentation depth on microhardness for a homogeneous material. It is shown that for a homogeneous material, the microhardness under indentation with both the Berkovich and Vickers pyramids does not depend on the indentation depth if the area of the indent projection is determined directly by measurement of its geometric characteristics. The method proposed in the work allows obtaining adequate estimates of radiation hardening of a thin layer of material irradiated by ions. The method has been verified by indentation at constant strain rate for two classes of steel: austenitic and ferritic-martensitic.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>инструментальное индентирование</kwd><kwd>индентор Берковича</kwd><kwd>индентор Виккерса</kwd><kwd>микротвердость</kwd><kwd>формулы Olive и Pharr</kwd><kwd>диаграмма Nix и Gao</kwd><kwd>ионное облучение</kwd><kwd>радиационное упрочнение</kwd><kwd>аустенитные и ферритно-мартенситные стали</kwd></kwd-group><kwd-group xml:lang="en"><kwd>instrumental indentation</kwd><kwd>microhardness</kwd><kwd>Berkovich indenter</kwd><kwd>Vickers indenter</kwd><kwd>Oliver and Pharr formulae</kwd><kwd>Nix and Gao diagram</kwd><kwd>ion irradiation</kwd><kwd>radiation hardening</kwd><kwd>austenitic and ferritic-martensitic steels</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">Was G. S., Jiao Z., Getto E., et al. 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