A Thermo-Viscoelastic Fractional Contact Problem with Normal Compliance and Coulomb’s Friction

Автор(и)

  • Mustapha Bouallala Cadi Ayyad University, Polydisciplinary faculty, Modeling and Combinatorics Laboratory, Department of Mathematics and Computer Science B.P. 4162, Safi, Morocco
  • EL-Hassan Essoufi Faculty of Science and Technology, Hassan 1st University Settat Laboratory Mathematics, Computer Science and Engineering Sciences (MISI), 26000 Settat, Morocco

DOI:

https://doi.org/10.15407/mag17.03.280

Анотація

Дослiдження стосується аналiзу задачi квазiстатичного контакту з тертям мiж термов’язкопружним тiлом i термопровiдною основою. Рiвняння стану побудоване з використанням моделi Кельвiна–Фойгта з дробовою похiдною. Теплопровiднiсть моделюється дробовою похiдною вiдносно часу температурного параметру θ. Контакт описується за припущеннями нормальної пiддатливостi та кулонiвського тертя. Ми отримуємо варiацiйне формулювання задачi i доводимо iснування слабкого розв’язку для моделi, використовуючи теорiю монотонного оператора, похiдну Капуто, субдиференцiал Кларка, метод Гальоркiна та теорему Банаха про нерухому точку.

Mathematics Subject Classification: 35J85, 76B03, 65M60, 47H10

Ключові слова:

термов’язкопружний контакт, нормальна пiддатливiсть, кулонiвське тертя, похiдна Капуто, слабкий розв’язок, метод Гальоркiна, теорема Банаха про нерухому точку

Посилання

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Bouallala, M.; Essoufi, E.-H. A Thermo-Viscoelastic Fractional Contact Problem with Normal Compliance and Coulomb’s Friction. Журн. мат. фіз. анал. геом. 2021, 17, 280-294.

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Том 17 № 3 (2021)

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