Coupling between elastic waves and magnetic spin waves in saturated ferromagnetoelastic plates

Abstract

This study develops a set of two-dimensional equations for saturated ferromagnetoelastic plates through power series expansion of three-dimensional equations along the plate thickness coordinate. The equations are truncated to zero- and first-order equations for extension and flexure with shear deformation. For a plate of cubic crystals, the derived plate equations split into two groups: one is for flexure with shear deformation and the other is for in-plane extension. These equations enable systematic investigation of coupled elastic and spin wave propagation in plate structures. Magnetoelastic coupling mechanisms are observed through dispersion analysis. Particularly, comparative studies reveal the plate theory's capability and efficiency in characterizing zero- and first-order elastic waves as well as zero- and first-order spin waves. The proposed plate theory provides an effective modeling tool for designing magnetoelastic devices based on the interaction between elastic and spin waves.