<p>We propose a technique for the determination of the thermoelastic state of structural elements with thin multilayer transversely isotropic coatings based on the results of modeling of these coatings by shells with the corresponding thermomechanical properties of the coating. Within the framework of this approach, the effect of coatings on the mechanical state of the entire body-coating system is described by special generalized boundary conditions. In the case of transversely isotropic coatings, transverse strains are taken into account as additional degrees of freedom. The efficiency of the proposed approach is illustrated by the comparison of the results obtained by using this approach with the exact solution of the test problem of determination of the thermoelastic state of a solid cylinder with ceramic coating.</p>