Journal of Theoretical
and Applied Mechanics

31, 2, pp. 263-277, Warsaw 1993

Magnetoelastic plate theory

Marek Rudnicki
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.