Dynamic behavior of thin plates under impulsive magnetic field

A numerical analysis is presented for the dynamic behavior of thin conductive plates with a crack under both impulsive and constant magnetic fields which are perpendicular and parallel to the plate surface, respectively. On the assumption of two-dimensional currents and on the basis of small-bending-plate theory, and finite-element method is used for numerical analyses of the eddy current and the motion of the plate, respectively. The crack is found to open up in the transverse direction of the vibrating plate when it is perpendicular to the direction of the constant magnetic field. The Lorentz force is generated by interaction between the magnetic fields and the eddy current induced in the plate. If the Lorentz force is of sufficient magnitude, the crack may grow, which leads to fracture