Nonlinear strain of a current-conducting annular plate in a magnetic field

The mechanism of interaction of an elastic medium with the electromagnetic field is diverse and depends on the geometrical characteristics and physical properties of the body under consideration. In particular, this mechanism gets some specifics when considering the problems of thin plates and shells having anisotropic conductivity. In creating optimal structures in modern engineering, widespread use is made of thin-walled shells and plates as structural elements in which effects of nonlinear electromagnetic interaction with magnetic fields are significant. Effects of the coupling of mechanical displacements of conductive bodies with the electromagnetic field are conditioned by the lorentz ponderomotive forces. We consider a coupled problem of magnetoelasticity for a flexible conductive orthotropic plate, taking into account the orthotropy of conductive properties, under the influence of an external magnetic field and external electric current. the influence of magnetic induction on determining the stress state of a conductive annular plate is investigated in a geometrically nonlinear formulation. the results of a numerical example are presented. the analysis of the combined action of mechanical load, external electric current and external magnetic field on the behavior of a flexible current-conducting orthotropic annular plate is performed. the contribution of each of the loads to the stress-strain state of the plate is separately estimated.