## Afv V l

on the electrode-covered edges a, = a,i and a, = a,-2 of the plate. For simplicity, we will assume that the mechanical load is absent. Using the respective shell theory formulas, we get the following electro-elasticity relations and strain-displacement formulas:

2 hJB

4/j3

4/i3

As compared to equations 13.29, in equations 13.35 we see additional terms containing electrical quantities. For defining i/>(0\ we have the differential equation d A2 0

The electroelastic state is calculated in the following order. First, we solve the electrical problem that consists in integrating equation 13.36 with the boundary conditions

and find V-'0'- Then we solve the mechanical problem in the usual way with elasticity relations 13.35, where the electrical terms, £,-, are known. The remaining electrical quantities can be calculated by equations 13.30.

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