Wave dispersion in functionally graded magneto-electro-elastic nonlocal rod

Dispersion of elastic waves in functionally graded magneto-electro-elastic (FG-MEE) rod is studied based on nonlocal continuum mechanics. Governing equations of motion for the rod element are formulated in the nonlocal field (i.e., stress, electric and magnetic fields). The exponentially varying material properties along the axial direction of the rod have also been considered. The formulated nonlocal equations of motion are solved using the harmonic waveforms of the displacement field. The resulting wavenumber relations are solved for studying the wave dispersion phenomena in nonlocal FG-MEE rods. The wave characteristics are studied with respect to the spectrum and dispersion curves. The effects of the gradation index, volume fraction and nonlocal scale parameter are captured and discussed in detail. The results presented in this work are useful for the design of the futuristic multi-functional nanoscale magneto-electro-elastic devices that make use of the axial wave propagation properties.