Analysis of localized bending waves in a viscoelastic plate-foundation structure

In this model, linear viscosity is examined in terms of the phenomenological effects of edge waves on a plate-foundation structure. To establish the parametric conditions for the existence of the real frequency of bending waves within the framework of linear viscoelasticity, an asymptotic approximation method is applied to the complex dispersion relation. Then, the region of wave propagation for various scenarios is investigated analytically and graphically. The energy dissipation of the edge wave is examined by measuring the dissipation factor in the long-wave, low-frequency, and low-viscosity regions. This study established that the minimum value of the phase velocity (or the maximum value of the real slowness) depends strictly on the foundation modulus and the couple stress constant.