Asymptotics of the spectrum of one-dimensional natural vibrations in a layered medium consisting of viscoelastic material and viscous fluid

DOI10.1134/S0015462819060107zbMath1434.74063OpenAlexW2998708893WikidataQ126471999 ScholiaQ126471999MaRDI QIDQ2180988

V. V. Shumilova, Alexei S. Shamaev

Publication date: 18 May 2020

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0015462819060107

zbMATH Keywords

spectrumviscoelastic materialtwo-phase mediumcompressible viscous fluidhomogenized model

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Compressible fluids and gas dynamics (76N99) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (2)

Unnamed Item ⋮ Spectrum of one-dimensional eigenoscillations of a medium consisting of viscoelastic material with memory and incompressible viscous fluid

Cites Work

• Unnamed Item
• Asymptotic behavior of the spectrum of one-dimensional vibrations in a layered medium consisting of elastic and Kelvin-Voigt viscoelastic materials
• Non-homogeneous media and vibration theory
• Homogenization of the acoustic equations for a porous long-memory viscoelastic material filled with a viscous fluid
• On an extension of the method of two-scale convergence and its applications

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