zldmЗаводская лаборатория. Диагностика материаловIndustrial laboratory. Diagnostics of materials1028-68612588-0187ООО «Издательство «ТЕСТ-ЗЛ»10.26896/1028-6861-2025-91-2-68-75zldm-2396Research ArticleИССЛЕДОВАНИЕ СТРУКТУРЫ И СВОЙСТВ. МЕХАНИКА МАТЕРИАЛОВ: ПРОЧНОСТЬ, РЕСУРС, БЕЗОПАСНОСТЬTESTING OF STRUCTURE AND PARAMETERS. MECHANICAL TESTING METHODSОценка точности упрощенных методов послойного расчета композитных конструкцийAccuracy estimation for simplified techniques of composite structures ply-by-ply calculation methodВласовД. Д.VlasovD. D.

Данила Денисович Власов

101000, Москва, Малый Харитоньевский пер., д. 4

Danila D. Vlasov

4, Malyi Kharitonyevsky per., Moscow, 101000

danila_vlasov_98@mail.ruПолиловА. Н.PolilovA. N.

Александр Николаевич Полилов

101000, Москва, Малый Харитоньевский пер., д. 4

Alexander N. Polilov

4, Malyi Kharitonyevsky per., Moscow, 101000

Институт машиноведения им. А. А. Благонравова РАНРоссияBlagonravov Mechanical Engineering Research Institute of the Russian Academy of SciencesRussian Federation2025200220259126875Copyright © Власов Д.Д., Полилов А.Н., 20252025Власов Д.Д., Полилов А.Н.Vlasov D.D., Polilov A.N.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/2396

Для применения стандартного метода послойного расчета композитных конструкций должен быть определен полный набор упругих характеристик материала, что связано со множеством трудностей. В работе рассмотрены некоторые методы приближенных оценок упругих констант монослоев и симметричных пар слоев композитов, используемых, в частности, для создания сосудов давления. Определена погрешность восстановления упругих постоянных материала на основе известного большего модуля Юнга. Установлено, что на эту погрешность, помимо степени анизотропии композита, существенно влияет разброс экспериментальных данных в используемой выборке свойств композитов одного класса (углепластики, стеклопластики или органопластики), что должно быть учтено при проведении расчетов. Эти выводы проиллюстрированы расчетами напряжений в парах слоев композитного сосуда давления. Сопоставлены результаты методов послойного расчета с применением полного набора упругих констант и с помощью приближенной оценки упругих констант через инварианты преобразования упругих модулей. Показано, что для обладающих высокой степенью анизотропии композитных материалов типа углепластиков, в которых модуль вдоль волокон существенно превосходит остальные упругие постоянные, приближенные методы позволяют проводить расчеты композитных конструкций с приемлемой точностью, не прибегая к громоздким вычислительным процедурам.

In order to apply the standard ply-by-ply method for calculation of composite structures, a complete set of elastic characteristics of the material must be determined, which involves a lot of methodological difficulties. In the present work some methods of elastic constants approximate estimations for composite monolayers and symmetric pairs of layers, used, in particular, for creation of pressure vessels, are considered. The error of restoring the material elastic constants on the basis of the known larger Young’s modulus is determined. It was found that this error, in addition to the degree of composite anisotropy, is significantly influenced by the variation of experimental data in the used sample of composites of this class (carbon fiber-reinforced plastics (CFRP), glass fiber-reinforced plastics (GFRP) or organic fiber-reinforced plastics (OFRP)), which should be taken into account in the calculations. These conclusions are illustrated on verification stress computations in the ply pairs of a composite wound pressure vessel. A comparison of the results of ply-by-ply calculations using the full set of elastic constants and using an approximate estimation of the elastic constants via elastic modulus transformation invariants is presented. It is shown that for strongly anisotropic composite materials such as carbon fiber-reinforced plastics, in which the modulus along the fibers significantly exceeds the other elastic constants, approximate methods make it possible to carry out calculations of composite structures with acceptable accuracy without resorting to complicated computational procedures.

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