Осесиметричні термонапруження у радіально-неоднорідному циліндрі за кусково-змінної температури на бічній поверхні

• Date: 2018
• Main Authors: Токовий, Ю. В.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів, Чиж, А. І.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів
• Format: Article
• Language: Ukrainian
• Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2018
• Subjects: УДК 539.3
• Online Access: http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2472
• Journal Title: Prykladni Problemy Mekhaniky i Matematyky

The analysis of the axisymmetric stress state is conducted for a long solid cylinder whose thermophysical and thermoelastic properties are presented by arbitrary functions of the radial coordinate. The lateral surface of the cylinder is exposed to the tem­perature presented by a piecewise-variable function. For the determination of the temperature field in the cylinder, we employed the technique based upon the reduction of the stationary heat-conduction equation with an arbitrarily variable heat-conduction coefficient to an integral equation of the second kind. The corresponding thermal stresses are found in an explicit form by making use of the direct integration method. The effect of smoothness and discontinuity of the boundary condition imposed on the lateral surface is analyzed with concern to the distributions of the temperature and thermal stresses in the cylinder. Cite as: Tokovyy Yu. V., Chyzh A. I. Axisymmetric thermal stresses in a radially-inhomogeneous cylinder subjected to piecewise-variable temperature at the lateral surface // Appl. Probl. Mech. Math. – 2017. – No. 15. – С. 102–108. [In Ukrainian]