Contact Problem for Electro-Magneto-Elastic Half-Space with Initial Deformations

Abstract

In this paper, we consider the use of the fictitious absorption method to solve the contact problem of oscillations of a weightless stamp on the surface of an electro-magneto-elastic half-space under initial deformations. Oscillations of a layered half-space with initial mechanical strains is described by using linearized motion equations based on the quasi-static approximation for a prestressed electro-magneto-elastic medium. The Green function of a layered half electro–magneto–elastic-space for various boundary value problems describing various magnetic conditions on the boundary between the electroelastic layer and the magnetoelastic half-space was analytically constructed. Assuming that vibrations of the medium to be settled and proceed according to a harmonic law. The calculated results show the influence of hydrostatic deformation on the dynamic capacitance of an electro–magneto–elastic medium. In addition, the effect of magnetic various boundary conditions on dynamic capacitance is studied. All calculations is present in a dimensionless form.