ellibsЭлектронные библиотекиRussian Digital Libraries Journal1562-5419Казанский (Приволжский) федеральный университет10.26907/1562-5419-2026-29-1-330-350ellibs-725Research ArticleСтатьиРасчет стержневых элементов с трещинами на основе сочетания теории стержней и теории упругостиCALCULATION OF ROD ELEMENTS WITH CRACKS BASED ON A COMBINA-TION OF ROD THEORY AND ELASTICITY THEORYСеразутдиновМурат НуриевичSerazutdinovMurat Nurievichserazmn@mail.ruКазанский национальный исследовательский технологический университетKazan National Research Technological University202604032026291330350Copyright © Серазутдинов М.Н., 20262026Серазутдинов М.Н.Serazutdinov M.N.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://ellibs.elpub.ru/jour/article/view/725

Представлены математические модели для расчета напряженно-деформированного состояния стержней с трещинами при деформациях растяжения-сжатия и изгибе. Используется сочетание соотношений теории упругости и теории стержней. Основные положения предложенного метода моделирования основаны на разделении стержня на фрагменты и нахождении для каждого из выделенных фрагментов деформаций и напряжений по теории стержней или теории упругости. Описаны алгоритмы расчетов, которые сравнительно просты в реализации. Для иллюстрации достоверности и точности расчетов, основанных на описанных в статье моделях, приводятся числовые данные решения задач.

Mathematical models for calculating the stress-strain state of rods with cracks under tension-compression and bending deformations are presented. A combination of the relations of the theory of elasticity and the theory of rods is used. The main provisions of the proposed modeling method are based on dividing the rod into fragments and finding deformations and stresses for each of the selected fragments according to the theory of rods or the theory of elasticity. Calculation algorithms are described, which are relatively simple to implement. Numerical data for solving problems are provided to illustrate the reliability and accuracy of calculations based on the models described in the article.

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