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A problem of small thermoelastic deformation superposed on finite thermoelastic deformation. (English) Zbl 0809.73013
The problem of an initially stressed elastic body at a constant initial temperature, that is subjected to infinitesimal thermal stress, is considered. The body in the deformed configuration is bounded by the surfaces \(z=\pm h\), \(\phi=0\), \(\phi=\phi_ 1\), \(r=r_ 1\) and \(r=r_ 2\), where \(r\), \(\phi\), \(z\) are cylindrical coordinates. The solutions for displacements and temperature are found.
MSC:
74A15 Thermodynamics in solid mechanics
74B99 Elastic materials
74B20 Nonlinear elasticity
80A20 Heat and mass transfer, heat flow (MSC2010)
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