Незв’язана квазістатична задача термопружності для двошарової термочутливої нескінченої плити: Fìz.-mat. model. ìnf. tehnol. 2018, 27:19-27

• Date: 2019
• Main Authors: Harmatiy, Halyna, Kalynyak, Bohdan
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2019
• Subjects: термочутлива плита; термопружний стан; конвективний теплообмін; змінна Гудмена; інтегро-інтерполяційний метод
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/F%C3%ACz.-mat.%20model.%20%C3%ACnf.%20tehnol.%202018%2C%2027%3A19-27
• Journal Title: Physico-mathematical modeling and informational technologies

The thermoelastic state of a two-layer isotropic thermosensitive infinite plate, determined by the known non-steady distribution of the temperature field for complex heat transfer and power loads, has been determined and investigated. In this case, various options for the determination of integral conditions for longitudinal stresses and moments are considered. Qualitative and quantitative analysis of the obtained results and comparison with the existing results for a partial case were carried out. References Boli, B., Weiner, G. (1975). Teoriia temperaturnykh napriazhenii . Moskva: Mir. Malzbender, J. (2004). Mechanical and thermal stresses in multilayered materials. Journal of Applied Physics, 95(4), 1780-1782.https://doi.org/10.1063/1.1642289 Harmatii, H. Yu., Popovych, V. S. (2014). Modeliuvannia ta vyznachennia neustalenoho termopruzhnoho stanu dvosharovoi termochutlyvoi plastyny. Mat. Metody ta fiz.-mekh. polia, 57(4), 125-132. Kushnir, R. M., Popovych, V. S. (2013). Pro vyznachennia ustalenoho termopruzhnoho stanu bahatosharovykh struktur za vysokotemperaturnoho nahrivannia. Visnyk Kyivskoho natsionalnoho universytetu im. T.H.Shevchenka. Ser.: fizyko-matematychni nauky, 3, 42-47. Protsiuk, B. V. (2003). Kvazistaticheskie temperaturnye napriazheniia v mnohosloinoi termochuvstvitelnoi plastine pri nahreve teplovym potokom. Teor. i prikl. mekhanika, 38, 63-69.https://doi.org/10.1176/pn.38.8.0063a Harmatii, H. Yu. (2017). Vyznachennia neustalenoho teplovoho stanu termochutlyvoi dvosharovoi plyty za skladnoho teplooobminu. Prykl. Probl. mekh. i mat., 15, 132-138. Tanigawa, Y., Akai, T., Kawamura, R., Oka, N. (1996). Transient heat conduction and thermal stress problems of a nonhomogeneous plate with temperature-dependent material properties. J. Thermal Stresses, 19(1), 77-102.https://doi.org/10.1080/01495739608946161 Samarskii, A. A, Vabishchevich, P. N. (2003). Vychyslitielnaia tieplopieriedacha. M.: Editorial URSS.