Guided wave in multilayered piezoelectric–piezomagnetic bars with rectangular cross-sections

For the purpose of design and optimization of multilayered piezoelectric–piezomagnetic material (PPC) transducers, wave propagation in these structures has received much attention in past ten years. But the research objects of previous works are only for semi-infinite structures and one-dimensional structures, i.e., structures with a finite dimension in only one direction, such as horizontally infinite flat plates and axially infinite hollow cylinders. This paper proposes a double orthogonal polynomial series approach to solve the wave propagation problem in a two-dimensional (2-D) structure, namely, a layered PPC bar with a rectangular cross-section. Through numerical comparison with the available reference results for a purely elastic layered rectangular bar, the validity of the double polynomial approach is illustrated. The dispersion curves and mechanical displacement profiles of various layered PPC rectangular bars are calculated to reveal the wave propagation characteristics.