Open AccessTwo-dimensional temperature oscillations and elastic thermocyclic stresses in sphere and space with spherical cavity under spatially inhomogeneous heat transfer conditions
Author(s) -
M. I. Supel’nyak
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1683/2/022060
Subject(s) - thermoelastic damping , quasistatic process , displacement (psychology) , rotational symmetry , heat transfer , mechanics , boundary value problem , isothermal process , thermal conduction , bounded function , mathematical analysis , space (punctuation) , mathematics , classical mechanics , materials science , thermal , physics , thermodynamics , linguistics , philosophy , psychology , psychotherapist
The problem of steady-state temperature oscillations and thermocyclic stresses in regions bounded from inside or from outside by spherical surface is considered. To find them, the uncoupled quasistatic cyclic thermoelasticity problem under axisymmetric heat transfer conditions has been solved. The given definition corresponds to a solution that depends on two spatial variables. The thermal conductivity problem is solved by method of separation of variables for three types of boundary condition. Solution of the elastic displacement problem is obtained by using thermoelastic potential of displacements and Papkovich-Neuber solution for isothermal deformation.