On the behavior of a three-dimensional fractional viscoelastic constitutive model

Mario Di Paola, Gioacchino Alotta, Olga Barrera, Alan C. F. Cocks, Alan C. F. Cocks

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


In this paper a three-dimensional isotropic fractional viscoelastic model is examined. It is shown that if different time scales for the volumetric and deviatoric components are assumed, the Poisson ratio is time varying function; in particular viscoelastic Poisson ratio may be obtained both increasing and decreasing with time. Moreover, it is shown that, from a theoretical point of view, one-dimensional fractional constitutive laws for normal stress and strain components are not correct to fit uniaxial experimental test, unless the time scale of deviatoric and volumetric are equal. Finally, the model is proved to satisfy correspondence principles also for the viscoelastic Poisson’s ratio and some issues about thermodynamic consistency of the model are addressed.
Original languageEnglish
Number of pages16
Publication statusPublished - 2016

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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