The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder

DOI10.1016/j.apm.2020.06.077zbMath1485.74044OpenAlexW3047512239MaRDI QIDQ822036

Jiangong Yu, Xianhui Wang, ZH. Li, Xiao-Ming Zhang

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.06.077

zbMATH Keywords

functionally graded materialconvergence rateLegendre polynomialwave dispersionattenuation curveWeyl fractional derivative

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Inhomogeneity in solid mechanics (74E05) Linear constitutive equations for materials with memory (74D05) Applications of fractional calculus in solid mechanics (74S40)

Related Items (7)

Wave propagation in thermoelastic inhomogeneous hollow cylinders by analytical integration orthogonal polynomial approach ⋮ Thermo-viscoelastic transversely isotropic rotating hollow cylinder based on three-phase lag thermoelastic model and fractional Kelvin-Voigt type ⋮ Harmonic acoustic waves in FG rods with exponential inhomogeneity ⋮ On various equations of the analytical mechanics of thick-walled heterogeneous shells and some of their applications in wave dispersion problems ⋮ Magneto-thermoelastic interactions in an unbounded orthotropic viscoelastic solid under the Hall current effect by the fourth-order Moore-Gibson-Thompson equation ⋮ Heat transfer for nonlinear boundary conditions involving radiation for constant and temperature related thermal conductivity material using the MWLS method ⋮ Non-Fourier thermal fracture analysis of a Griffith interface crack in orthotropic functionally graded coating/substrate structure

Cites Work

• A polynomial approach to the analysis of guided waves in anisotropic cylinders of infinite length
• New stacking layer elements for analysis of reflection and transmission of elastic waves to inhomogeneous layers
• Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates.
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• Waves in fluid-filled functionally graded piezoelectric hollow cylinders: a restudy based on the reverberation-ray matrix formulation
• A higher-order spectral element for wave propagation analysis in functionally graded materials
• Stoneley and Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity.
• Lamb wave propagation in the functionally graded piezoelectric-piezomagnetic material plate
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Characteristics of waves in a functionally graded cylinder
• Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials
• Propagation and attenuation of guided waves in stressed viscoelastic waveguides

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