Rayleigh's problem for viscoelastic materials

DOI10.1016/S0022-5096(98)90001-1zbMath0634.73022OpenAlexW170281883MaRDI QIDQ1097074

A. C. Pipkin, G. T. Warhola

Publication date: 1988

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(98)90001-1

zbMATH Keywords

upper boundexact solutionsLower boundsComparison theoremsRayleigh problemviscoelastic wavesbounds on the displacementconvolution square rootselementary approximate solutionfirst- order differential-integral equationsmoothed step displacementviscoelastic stress-strain relation

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Waves in solid mechanics (74J99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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