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Thermoelastic state of a piecewise inhomogeneous orthotropic thermosensitive cylinder. (Ukrainian, English) Zbl 1463.74016

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.

MSC:

74A15 Thermodynamics in solid mechanics
74F05 Thermal effects in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74K25 Shells
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