Viscoelastic problem for piecewise homogeneous piezoelectric plates

An electromagnetic viscoelastic problem is solved for piecewise-homogeneous plates. The problem is reduced to solving a sequence of problems of electromagnetoelasticity with complex potentials. General representations of approximation functions for multiply connected domains and the boundary conditions for their determination are given. An analytical solution of the problem for a plate with one inclusion and an approximate solution to the plate with a finite number of inclusions are obtained. The change in the electromagnetoelastic state is investigated numerically as a function of time, the properties of the plate and inclusion materials, and the distance between the inclusions.