On the thermodynamically consistent fractional wave equation for viscoelastic solids

DOI10.1007/s00707-011-0484-0zbMath1398.74176OpenAlexW1987223528MaRDI QIDQ642139

Alexander Lion, Rolf Lammering, Sven von Ende

Publication date: 25 October 2011

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-011-0484-0

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Surface waves in solid mechanics (74J15) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05)

Related Items (4)

On a new class of constitutive equations for linear viscoelastic body ⋮ Wave equation in fractional Zener-type viscoelastic media involving Caputo-Fabrizio fractional derivatives ⋮ Distributed-order fractional constitutive stress-strain relation in wave propagation modeling ⋮ On a constitutive equation of heat conduction with fractional derivatives of complex order

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• Definition of Physically Consistent Damping Laws with Fractional Derivatives

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