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We investigate elastic wave propagation in finitely deformed dielectricelastomers in the presence of an electrostatic field. To analyze thepropagation of both longitudinal (P-) and transverse (S-) waves, we utilizecompressible material models. We derive explicit expressions of the generalizedacoustic tensor and phase velocities of elastic waves for the ideal andenriched dielectric elastomer models. We analyze the slowness curves of theelastic wave propagation, and find the P-S-mode disentangling phenomenon. Inparticular, P- and S- waves are separated by the application of an electricfield. The divergence angle between P- and S-waves strongly depends on theapplied electrostatic excitation. The influence of the electric field issensitive to material models. Thus, for ideal dielectric model the in-planeshear velocity increases with an increase in electric field, while for theenriched model the velocity may decreases depending on material constants.Similarly, the divergence angle gradually increases with an increase inelectric field, while for the enriched model, the angle may be bounded.Material compressibility affects the P-wave velocity, and, for relativelycompressible materials, the slowness curves evolve from circular to ellipticalshapes manifesting in an increase of the reflection angle of P-waves. As aresults, the divergence angle decreases with an increase in materialcompressibility.

Manipulating P-and S-elastic waves in dielectric elastomers via external electric stimuli