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Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods

Author

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  • Teodor M. Atanacković
  • Sanja Konjik
  • Ljubica Oparnica
  • Dušan Zorica

Abstract

We discuss thermodynamical restrictions for a linear constitutive equation containing fractional derivatives of stress and strain of different orders. Such an equation generalizes several known models. The restrictions on coefficients are derived by using entropy inequality for isothermal processes. In addition, we study waves in a rod of finite length modelled by a linear fractional constitutive equation. In particular, we examine stress relaxation and creep and compare results with the quasistatic analysis.

Suggested Citation

  • Teodor M. Atanacković & Sanja Konjik & Ljubica Oparnica & Dušan Zorica, 2011. "Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-32, June.
    • Handle: RePEc:hin:jnlaaa:975694
    DOI: 10.1155/2011/975694
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    Cited by:

    1. Jelić, Slađan & Zorica, Dušan, 2022. "Fractional Burgers wave equation on a finite domain," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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