Dispersion Properties of Lamb Waves in an Elastic Layer–Ideal Liquid Half-Space System

Abstract

The problem of the propagation of normal waves in an elastic layer interacting with a compressible ideal liquid half-space is stated and solved using the three-dimensional linear equations of classical elasticity for the solid and the three-dimensional linearized Euler equations for the compressible ideal fluid. The dispersion curves are plotted for quasi-Lamb modes over a wide frequency range. The effect of the ideal compressible fluid and the elastic layer thickness on the dispersion of the phase velocities of quasi-Lamb modes in hydroelastic waveguides is analyzed. The localization properties of these modes in hydroelastic waveguides are studied. The numerical results are presented in the form of plots and analyzed.