Heat transfer between shell and rigid body through the thin heat-conducting layer taking into account mechanical contact

A problem of heat conducting and unilateral contact of a shell with a rigid body through the heat-conducting layer is formulated. An approach consists in considering a change of layer thickness in the process of the shell deformation. For modelling thermoelastic state of the shell classical Kirchhoff-Love's model is explored. For modelling heat conductivity of the shell expansion into a polynomial Legendre series in terms of the thickness is used. Contact conditions that take into account possibilities for unilateral mechanical contact and change of heat transfer conditions between shell and rigid body are formulated. Numerical examples of the unilateral thermoelastic contact of the cylindrical shells and rigid body through the heat-conducting layer are considered. Influence of physical and geometrical parameters of the shell and heat conducting layer is investigated.