Am. Bagno et al., INFLUENCE OF FLUID VISCOSITY ON WAVES IN AN INITIALLY DEFORMED, COMPRESSIBLE, ELASTIC LAYER INTERACTING WITH A FLUID MEDIUM, International applied mechanics, 30(9), 1994, pp. 643-649
The propagation of harmonic waves along the interface of an initially
stressed, compressible layer and a viscous, compressible fluid half-sp
ace is investigated. A dispersion relation that does not depend on the
form of the elastic potential is derived on the basis of the three-di
mensional linearized elasticity equations for elastic bodies with unif
orm initial deformations and on the linearized Navier-Stokes equations
for a viscous Newtonian fluid at rest. The phase velocities and atten
uation coefficients of the elastic modes are determined numerically as
functions of the thickness of the elastic layer using a Murnaghan-typ
e three-invariant elastic potential.