Effect of Half-Space of Ideal Fluid on Surface Instability of Incompressible Elastic Layer Subjected to Finite Initial Deformations

A problem of the propagation of normal waves in an incompressible elastic layer interacting with the half-space of ideal compressible fluid is stated and solved. The dispersion curves of normal generalized waves in a hydroelastic system over a wide range of frequencies are constructed using the three-dimensional linearized equations of the elasticity theory of finite deformations for a solid and the three-dimensional linearized Euler equations for ideal compressible fluid. The effect of finite initial deformations in the incompressible elastic layer as well as the half-space of ideal compressible fluid on the phase velocities, dispersion of generalized modes, and surface instability of the hydroelastic waveguide is analyzed. The numerical results presented in the form of plots are considered.