Abstract
The reduction of three-dimensional equations of electroelasticity to two-dimensional equations of piezoceramic shells is performed by an asymptotic method /1/ for the case of preliminary polarization along one of the families of coordinate lines of the middle surface. It is shown that for shells covered completely with electrodes on which a potential difference is maintained, the complete problem breaks down into a mechanical and an electrical problem, where the mechanical problem differs qualitatively from theories based on the Kirchhoff—Love type of hypotheses. For shells not covered with electrodes and loaded by a mechanical surface load, the complete problem does not generally allow of separation into mechanical and electrical problems, in which connection the system of differential equations is of tenth order.
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