vestiftИзвестия Национальной академии наук Беларуси. Серия физико-технических наукProceedings of the National Academy of Sciences of Belarus. Physical-technical series1561-83582524-244XThe Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-8358-2025-70-3-252-263vestift-910Research ArticleСтатьиНеразрушающий контроль механических свойств и толщины пленок Ленгмюра–Блоджетт методом статической силовой спектроскопииNon-destructive testing of mechanical properties and thickness of Langmuir–Blodgett films by static force spectroscopyhttps://orcid.org/0000-0003-4891-7523МельниковаГ. Б.MelnikovaG. B.

Мельникова Галина Борисовна – кандидат технических наук, доцент, старший научный  сотрудник  

ул. П. Бровки, 15, 220072, Минск

Galina B. Melnikova – Cand. Sci. (Engineering), Associate Professor, Senior Researcher 

15, P. Brovka St., 220072, Minsk

galachkax@gmail.comМаханёкА. А.MakhaniokA. A.

Маханёк Александр Анатольевич  –  кандидат физико-математических наук, старший научный сотрудник

ул. П. Бровки, 15, 220072, Минск

Alexander A. Makhaniok – Cand. Sci. (Physics and Mathematics), Associate Professor, Senior Researcher 

15, P. Brovka St., 220072, Minsk

a.makhaniok@gmail.comhttps://orcid.org/0000-0002-5301-0195ЧижикС. А.ChizhikS. A.

Чижик Сергей Антонович  –  академик Национальной академии наук Беларуси, доктор технических наук, профессор, заведующий отделением теплообмена и механики микро- и наноразмерных систем 

ул. П. Бровки, 15, 220072, Минск

Sergei A. Chizhik – Academician of the National Academy of Sciences of Belarus, Dr. Sci. (Engineering), Professor, Chief Researcher of the Laboratory of Nanoprocesses and Technologies

15, P. Brovka St., 220072, Minsk

chizhik_sa@tut.byИнститут тепло- и массообмена имени А. В. Лыкова Национальной академии наук БеларусиA. V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus202514102025703252263Copyright © Мельникова Г.Б., Маханёк А.А., Чижик С.А., 20252025Мельникова Г.Б., Маханёк А.А., Чижик С.А.Melnikova G.B., Makhaniok A.A., Chizhik S.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestift.belnauka.by/jour/article/view/910

Рассмотрены механико-математические модели для расчета физико-механических свойств одно- и многослойных материалов нанометровой толщины, выбора точки контакта с учетом типа взаимодействия кантилевера с поверхностью материала, их преимущества и недостатки. Показана возможность расчета толщины многослойных материалов путем решения обратной задачи. Разработана методика неразрушающего контроля модуля упругости и толщины пленок Ленгмюра–Блоджетт на основе полиметилметакриалата по данным статической силовой микроскопии. Методом атомно-силовой микроскопии проведен анализ структуры и локальных физико-механических свойства пленок Ленгмюра–Блоджетт на основе полиметилметакрилата и композиционных, содержащих 41,7; 83,3; 167; 333 моль наночастиц SiO2 из расчета на 1 моль полимера. Разработана программа AFM1 для анализа данных статической силовой спектроскопии, в которой реализован выбор точки контакта по модели Джонсона– Кенделла–Робертса (ДКР), реализован расчет значений модуля упругости по модели Герца, ДКР, Сюэ–Миранда, Mакушкина  и  Меншика.  Проведено  сравнение  расчетных  значений  модуля  упругости  и  толщины  покрытий с использованием вышеуказанных моделей. Установлено, что значения толщины пленок, рассчитанные по модели Макушкина, коррелируют с экспериментальными данными, полученными путем создания искусственного дефекта в пленке. Полученные результаты актуальны для диагностики и анализа свойств новых функциональных наноматериалов.

Mechanical and mathematical models for calculating the physical and mechanical properties of single- and multilayer materials of nanometer thickness, selecting the contact point taking into account the type of interaction of the cantilever with the surface of the material, their advantages and disadvantages are presented. The possibility of calculating the thickness of multilayer materials by solving the inverse problem is shown. The structure and local physical and mechanical properties of Langmuir–Blodgett films based on poly(methyl methacrylate) and composite films containing 41.7; 83.3; 167; 333 mol of SiO2 nanoparticles per 1 mol of polymer were analyzed using atomic force microscopy. The AFM1 program has been developed for analyzing static force spectroscopy data, which implements the selection of the contact point according to the Johnson–Kendall–Roberts (JKR) model, and the calculation of the elastic modulus values according to the Hertz, JKR, Hsueh–Miranda, Makushkin, and Menčik models. A comparison of the calculated values of the elastic modulus and coating thickness was carried out using the above models. It was found that the film thickness values calculated using the Makushkin model correlate with the experimental data obtained by creating an artificial defect in the film. The results obtained are relevant for diagnostics and analysis of the properties of new functional nanomaterials.

атомно-силовая микроскопиянанопленкитехнология Ленгмюра–Блоджеттмеханические свойстватолщинаatomic force microscopynanofilmLangmuir–Blodgett techniquemechanical propertiesthicknessработа выполнена при финансовой поддержке Государственной программы научных исследований «Энергетические и ядерные процессы и технологии» на 2021–2025 годы, подпрограмма «Энергетические процессы и технологии» (задание 2.25); Государственной программы научных исследований «Конвергенция-2025» на 2021–2025 годы, подпрограмма «Междисциплинарные исследования и новые зарождающиеся технологии» (задание 3.03.3); Белорусского республиканского фонда фундаментальных исследований (грант № Ф20ПТИ-017 от 04.05.2020).the work was financially supported by the State Research Program “Energy and Nuclear Processes and Technologies” for 2021–2025, the subprogram “Energy Processes and Technologies” (task 2.25); the State Research Program “Convergence-2025” for 2021–2025, the subprogram “Interdisciplinary Research and New Emerging Technologies” (task 3.03.3); Belarusian Republican Foundation for Basic Research (grant no. 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The authors declare that there are no conflicts of interest present.