Effective Acoustic Equations for a Layered Material Described by the Fractional Kelvin-Voigt Model

DOI10.17516/1997-1397-2021-14-3-351-359OpenAlexW3177186171MaRDI QIDQ5071354

V. V. Shumilova, Alexei S. Shamaev

Publication date: 21 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu919

zbMATH Keywords

homogenizationviscoelasticityacoustic equationsfractional Kelvin-Voigt model

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (2)

Spectrum of an integro-differential equation of fractional order ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review

Cites Work

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• MEMORY EFFECT IN HOMOGENIZATION OF A VISCOELASTIC KELVIN–VOIGT MODEL WITH TIME-DEPENDENT COEFFICIENTS
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Fading memory effects in elastic-viscoelastic composites
• Homogenization of a viscoelastic matrix in linear frictional contact
• Fractional Calculus With Applications in Mechanics

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