2015/12/15 by Pavel I. Galich, Galich, Pavel, Stephan Rudykh +1
Engineering · #Dielectric materials and actuators #Advanced Sensor and Energy Harvesting Materials #Advanced Materials and Mechanics
paper · pdf · doi:10.48550/arxiv.1512.04911
We investigate elastic wave propagation in finitely deformed dielectric\nelastomers in the presence of an electrostatic field. To analyze the\npropagation of both longitudinal (P-) and transverse (S-) waves, we utilize\ncompressible material models. We derive explicit expressions of the generalized\nacoustic tensor and phase velocities of elastic waves for the ideal and\nenriched dielectric elastomer models. We analyze the slowness curves of the\nelastic wave propagation, and find the P-S-mode disentangling phenomenon. In\nparticular, P- and S- waves are separated by the application of an electric\nfield. The divergence angle between P- and S-waves strongly depends on the\napplied electrostatic excitation. The influence of the electric field is\nsensitive to material models. Thus, for ideal dielectric model the in-plane\nshear velocity increases with an increase in electric field, while for the\nenriched model the velocity may decreases depending on material constants.\nSimilarly, the divergence angle gradually increases with an increase in\nelectric field, while for the enriched model, the angle may be bounded.\nMaterial compressibility affects the P-wave velocity, and, for relatively\ncompressible materials, the slowness curves evolve from circular to elliptical\nshapes manifesting in an increase of the reflection angle of P-waves. As a\nresults, the divergence angle decreases with an increase in material\ncompressibility.\n