Дослідження термопружного стану неоднорідної за товщиною ізотропної циліндричної оболонки

The stress-deformed state of a functionally graded isotropic circular closed cylindrical shell subjected to local heating of the outer surface of the environment by means of convective heat transfer is investigated. For the study, the mathematical model of the shear theory of inhomogeneous shells of...

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Bibliographic Details
Date:2018
Main Author: Zhydyk, U. V.; Жидик У. В.; Національний університет «Львівська політехніка», Львів
Format: Article
Language:Ukrainian
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2018
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Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2018.16.119-125
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Journal Title:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky
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Summary:The stress-deformed state of a functionally graded isotropic circular closed cylindrical shell subjected to local heating of the outer surface of the environment by means of convective heat transfer is investigated. For the study, the mathematical model of the shear theory of inhomogeneous shells of the Tymoshenko type is used. The two-dimensional heat equation is deduced under the linear distribution of temperature over the thickness. By methods of Fourier and Laplace integral transformations the solution of the non-stationary heat conduction problem and the quasi-static thermoelasticity problem for a finite simply supported circle cylindrical shell is obtained. Numerical results are presented for metal–ceramic composites. Cite as:  U. V. Zhydyk, “Analysis of the thermoelastic state of the inhomogeneous through the thickness isotropic cylindrical shell,” Prykl. Probl. Mekh. Mat., Issue 16, 119–125 (2018) (in Ukrainian), http://doi.org/10.15407/apmm2018.16.119-125