Problem of Electroviscoelasticity for Multiply Connected Plates

Abstract

We propose a method for the solution of the problem of electroviscoelasticity for multiply connected plates. By the method of small parameter, the problem is reduced to the recurrent sequence of problems of electroviscoelasticity that can be solved with the use of complex potentials. We propose a procedure for the determination, according to the complex potentials, of the approximate values of the principal characteristics of electroelastic state (stresses and the components of the vectors of induction and electric-field strength) at any time after the application of loading. As an example, we present the solution of the problem for a plate with elliptic hole. The results of numerical investigations reveal a strong influence of time on the values of the principal characteristics of the electroviscoelastic state.