Abstract
The method of asymptotic integration [1] of three-dimensional equations of electroelasticity is used to construct a solution for the general cale of anisotropy of the problem of equilibrium of a thin piezoelectric layer the plane edges of which are free of electrode coating and are acted upon by specified, external mechanical forces. A fundamental iterative process is constructed, which makes possible the estimation of the validity of various simplifying assumptions made in the course of constructing the practical theories [2–4]. It is established that the absence of a plane of material symmetry within the layer parallel to its middle surface does not affect the construction of the first iterative step, but affects the derivation of the relations in the subsequent approximations.
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