Magnetostrictive bending of a cantilevered film-substrate system

Curvatures produced by magnetization of the film in a system of a magnetic film bonded to a much thicker substrate are calculated for a model of a cantilevered system clamped flat at the clamped end. The curvatures are found by minimizing the total energy of the system, which includes magnetoelastic and elastic energy, with respect to a constant curvature in the length, but a variable curvature in the width that vanishes at the clamped end. Application to a measured system is made and the value of a magnetoelastic coefficient for a clamped system is compared with the value for a free system, when both are calculated from the measured deflections. Criticisms are made of previous erroneous derivations of the curvature of the free system, including one by the author.