Аннотация:Various variants of equations of motion in moments with respect to
orthogonal polynomial systems are obtained. The interlayer conditions are written
down under various connections of adjacent layers of a multilayer body. Formulation
of the initial boundary velue problems in the theory of multilayer thermoelastic thin
bodies in moments are given. Note that the analytic method with the use of the
Legendre polynomial system in constructing the one-layer thin body theory and
multilayer thin body theory can be successfully used in constructing any thin body
theory. Despite this, the classic theories constructed by this method are far to be
complete, and the more so, the micropolar theories and theories of other reology are.