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Розрахунок температурних напружень у тришаровій ізотропній циліндричній оболонці

The stress-strain state of a three-layer isotropic circular thin cylindrical shell under local heating by the temperature field specified at the initial moment of time was studied. For this, a two-dimensional mathematical model of the classical theory of thermoelasticity and thermal conductivity of...

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Bibliographic Details
Main Author: Zhydyk, U. V.; Національний університет «Львівська політехніка», Львів
Format: Article
Language:Ukrainian
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2022
Subjects:
Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2022.20.53-60
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Summary:The stress-strain state of a three-layer isotropic circular thin cylindrical shell under local heating by the temperature field specified at the initial moment of time was studied. For this, a two-dimensional mathematical model of the classical theory of thermoelasticity and thermal conductivity of heterogeneous isotropic shells was used. Using the methods of Fourier and Laplace integral transformations, the solution of the non-stationary problem of thermal conductivity and the quasi-static problem of thermoelasticity for a finite hinged closed cylindrical shell was found. Numerical results are given for a three-layer shell, the outer layers of which are made of metal, and the inner layer is made of ceramics.  Cite as: U. V. Zhydyk, “Calculation of temperature stresses in a three-layer isotropic cylindrical shell,” Prykl. Probl. Mekh. Mat., Issue 20, 53–60 (2022) (in Ukrainian), https://doi.org/10.15407/apmm2022.20.53-60