Abstract
The problem of normal wave propagation in a pre-deformed incompressible elastic layer that interacts with a layer of an ideal compressible fluid is considered. The study uses the three-dimensional linearized equations of the theory of elasticity of finite deformations for the incompressible elastic layer and the three-dimensional linearized Euler equations for the ideal compressible fluid. A problem statement and an approach based on the representations of general solutions of the linearized equations for elastic body and fluid are applied. A dispersion equation describing the propagation of harmonic waves in the hydroelastic system is obtained. The dispersion curves of normal generalized Lamb waves over a wide range of frequencies are built. An effect of the finite initial deformations of the elastic layer and the thickness of the layer of ideal compressible fluid on the phase velocities and dispersion of the generalized Lamb modes in a hydroelastic waveguide are analyzed. Numerical results are presented in the form of graphs, and their analysis is given.
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Bagno, O. (2023). Influence of Finite Initial Deformations on Velocities of Generalized Lamb Waves in an Incompressible Elastic Layer Interacting with a Layer of an Ideal Fluid. In: Guz, A.N., Altenbach, H., Bogdanov, V., Nazarenko, V.M. (eds) Advances in Mechanics. Advanced Structured Materials, vol 191. Springer, Cham. https://doi.org/10.1007/978-3-031-37313-8_3
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