Abstract

Exact analytical solutions to the problems on the formation of an axisymmetric stress-strain state (SSS) in a circular cylindrical sandwich shell under the action of a temperature field inhomogeneous across its thickness are obtained. It is assumed that the end cross sections of the upper load-carrying layer are immobile in the axial direction, whereas those of the lower load-carrying layer are free. By virtue of the small relative thickness, the outer layers are assumed momentless. The transversely soft filler has an arbitrary thickness, and its SSS is described by equations of thermoelasticity simplified according to the model accepted for it. The boundary conditions stated for the transverse (radial) direction at shell ends correspond either to a free edge or to the presence of a diaphragm.

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