Development of Asymptotic Methods for the Analysis of Dispersion Relations for a Viscoelastic Solid Cylinder

DOI10.18500/1816-9791-2017-17-2-183-195zbMath1462.74032OpenAlexW2617896857MaRDI QIDQ4639868

Maria V. Wilde, Nadezhda V. Sergeeva

Publication date: 11 May 2018

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18500/1816-9791-2017-17-2-183-195

zbMATH Keywords

asymptoticsviscoelasticitydispersion equationfractional exponential functionsolid cylinderfractional parametersingularity parameter

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Bulk waves in solid mechanics (74J10) Nonlinear constitutive equations for materials with memory (74D10) Applications of fractional calculus in solid mechanics (74S40)

Cites Work

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• Matching of asymptotic models in scattering of a plane acoustic wave by an elastic cylindrical shell
• Propagation of axisymmetric waves in a hollow viscoelastic cylinder
• Harmonic viscoelastic waves in a layer and in an infinite cylinder
• Review of methods and approaches for mechanical problem solutions based on fractional calculus

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