ANALYTICAL SOLUTION OF THE EQUILIBRIUM EQUATIONS FOR NONTHIN ELECTROELASTIC TRANSVERSELY ISOTROPIC PLATES POLARIZED THROUGH THE THICKNESS

摘要

A method for constructing the general analytical solution to the equations of static electroelasticity for nonthin transversely isotropic plates is outlined. Their surfaces are electroded and charged. The unknown functions are expanded into Fourier-Legendre series in the thickness coordinate. A system of differential equations is derived and its general solution is obtained to determine the stress state of electroelastic plates polarized through the thickness.