A numerical assessment of the free energy functionfor fractional-order relaxation

Risultato della ricerca: Conference contribution

Abstract

In this paper the authors discuss the free energy function of fractional hereditary materials. The evaluation of the free energy has been obtained from a mechanical model that represents, exactly, the power-law relaxation of the material. The mechanical model separates, exactly, the elastic and the viscous phases, yielding the stored energy of the material that corresponds to the Staverman-Schwarz stress based free energy. Some numerical approximations of the free energy function in terms of the discretized rheological model have been reported in the paper.
Lingua originaleEnglish
Titolo della pubblicazione ospite2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
Numero di pagine6
Stato di pubblicazionePublished - 2014

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All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Modelling and Simulation
  • Numerical Analysis

Cita questo

Zingales, M., Pinnola, F. P., & Zingales, M. (2014). A numerical assessment of the free energy functionfor fractional-order relaxation. In 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014