Magnetoelastic plate theory

The paper deals with homogeneous isotropic linearly elastic and non-perfectly conducting plates of constant thickness. A starting point consists in displacement thickness distribution and equations of motion of the Kirchhoff theory incorporating Lorentz force as combined with 3-D equations of electrodynamics. Both the bending and the stretching are taken into account. Mutually coupled 2-D governing equations are derived under the somewhat new E-M (electromagnetic) assumptions. The final equations are simplified so as to differ, but little, from the corresponding equations due to the modified hypothesis of magnetoelasticity of thin bodies.