THE POTENTIAL ELECTROMAGNETIC FIELDS IN PIEZOPLATES UNDER THE FORCE, ELECTROMAGNETIC AND THERMAL ACTION
Using the system of electromagnetoelasticity differential equations for Airy stress function and electric and magnetic fields induction functions the solutions of the problems for piezoplate under the force, electromagnetic and thermal fields action are given. For rectangular and infinite continuous plates the exact solutions are given. The expressions for main characteristics (temperature, stresses, electromagnetic field induction and tension vectors) are found. It was shown that in case of homogenous force, thermal and electromagnetic fields action the main characteristics are constant and the electric and magnetic field potentials are the linear functions which satisfy the potentiality conditions. In case of linear heat flow action the potentials are the quadratic functions, but satisfaction of the potentiality condition takes place only when distinct relation between the piezoplate material pyromodules and thermal conductivities. For all considered cases the transition to the complex potentials of generalized complex variables was done.