A model for adjusted analysis of three-layer, in general case, non-regular shells of revolution, accounting for their heterogeneity, momentum condition of the bearing layers and three-dimensional stressed-strained state (SSS) of the filling layer is constructed. Approximations of the displacement fields for finite-element analysis of SSS in bearing layers, following the hypothesis of Kirchhoff-Love, are given. Based on the obtained approximations of the bearing layers, approximating displacement functions for the finite element of the filling layer are constructed, and two-dimensional and three-dimensional shell models are created, respectively, for calculating the momentum bearing layers and the filling layer, modeled by relations of the theory of elasticity. The obtained approximations and models have been tested.
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