Protsiuk, B. V. Thermoelastic state of a piecewise inhomogeneous orthotropic thermosensitive cylinder. (Ukrainian, English) Zbl 1463.74016 Mat. Metody Fiz.-Mekh. Polya 62, No. 3, 57-73 (2019). The author proposes a method for determining the thermoelastic state due to a plane axisymmetric temperature field and surface loads in a multilayered hollow orthotropic cylinder with allowance for the dependence of physical and mechanical characteristics on the temperature and the coordinate. The thermoelasticity problem is reduced to solving systems of integral-algebraic equations with respect to the radial displacements. These systems are obtained from the integral representation of the solution to the corresponding problem for the ordinary differential equation with generalized derivatives. Reviewer: A. Ja. Olejnik (Kyïv) Cited in 2 Documents MSC: 74A15 Thermodynamics in solid mechanics 74F05 Thermal effects in solid mechanics 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 74K25 Shells Keywords:thermoelastic state; multilayered orthotropic cylinder; dependence of physical and mechanical characteristics on temperature and coordinate; generalized functions; Green function; integral-algebraic equations; successive approximation method PDFBibTeX XMLCite \textit{B. V. Protsiuk}, Mat. Metody Fiz.-Mekh. Polya 62, No. 3, 57--73 (2019; Zbl 1463.74016)