A quadrature-free Legendre polynomial approach for the fast modelling guided circumferential wave in anisotropic fractional order viscoelastic hollow cylinders

DOI10.24423/AOM.3642zbMath1482.74162OpenAlexW3150931320MaRDI QIDQ5016892

Shuijun Shao, Shunli Liang, Jiangong Yu, Xiao-Ming Zhang

Publication date: 13 December 2021

Full work available at URL: https://am.ippt.pan.pl/am/article/view/v73p121

zbMATH Keywords

attenuationdispersionguided wavefractional order derivativeanisotropic viscoelastic hollow cylinderquadrature-free Legendre polynomial approach

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Linear constitutive equations for materials with memory (74D05) Numerical and other methods in solid mechanics (74S99)

Cites Work

• Differential eigenvalue problems in which the parameter appears nonlinearly
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials

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