Аннотация:Proceeding from three-dimensional formulations of initial boundary value
problems of the three-dimensional linear micropolar theory of thermoelasticity similar
formulations of initial boundary value problems for the theory of multilayer
thermoelastic thin bodies are obtained, as well as for rigid in the transverse direction
thin bodies under a new parameterization of the domain of a thin body. The initial
boundary value problems for thin bodies were also obtained in the moments with
respect to systems of orthogonal polynomials. We consider some particular cases of
formulations of initial boundary value problems. Acknowledgements: this research
were supported by the Shota Rustaveli National Science Foundaiton (project no.
DI-2016-41) and the Russian Foundation for Basic Research (project no.
15-01-00848-a).