caa a22 4500 605522138 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2273-0 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2273-0 Kalynyak B. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Fredholm Equations of the Second Kind for Radial Stresses Aimed at the Determination of the Thermoelastic State of an Inhomogeneous Hollow Long Cylinder [Elektronische Daten] [B. Kalynyak] The problem of thermoelasticity in terms of stresses for an inhomogeneous hollow long cylinder with an arbitrary dependence of the physicomechanical characteristics of the material on the radial coordinate is reduced to the solution of a Fredholm equation of the second kind for radial stress. We obtain this equation by direct integration of the equations of equilibrium and continuity and solve it by reducing to a system of algebraic equations. The results of calculations are compared with the known exact solutions of the problem of thermoelasticity for individual dependences of the characteristics of the material on the radial coordinate. We determine the characteristics of materials, the temperature field, and loading guaranteeing the equality of the radial stress in the cylinder to zero. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/5(2015-03-01), 659-666 1072-3374 205:5<659 2015 205 10958 https://doi.org/10.1007/s10958-015-2273-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2273-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kalynyak B. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/5(2015-03-01), 659-666 1072-3374 205:5<659 2015 205 10958