Continuum model for a composition of shells of revolution with thermosensitive thickness

An integral variational principle is used to derive the equations of uncoupled thermoelasticity for a composition of thin-walled shells of revolution—a cone, a torus or sphere, and a cylinder smoothly connected along the junction lines. The study is based on a Reissner-typemodel under the assumption that the thickness is sensitive to heating. The generalized position vector of any point on the middle surface is constructed, which permits standardly determining the principal curvatures and components of the basis metric tensor of the middle surface. Equations for temperature functions are derived under the assumption that the temperature field is linear across the thickness of the composition and there are no internal heat sources. The equations of static thermostability and axially symmetric thermoelasticity are written.