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The use of fractional calculus to model the experimental creep-recovery behavior of modified bituminous binders

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Abstract

Fitting of experimental creep-recovery curves obtained from rheological tests carried out on viscoelastic materials can reveal difficulties when handled by classical rheological theories, which generally provide exponential-type functions requiring a great number of parameters to be determined. Fractional calculus may represent a natural framework to develop more synthetic and efficient methods, overcoming most of the problems encountered with the classical approach. In this paper, a fractional model consisting of a dashpot in series with a springpot is proposed to describe the viscoelastic behavior of modified bituminous binders used in road pavements. The purpose is twofold: (i) to evaluate the adequacy of a rheological model involving a limited number of parameters, each of which with a precise physical meaning; (ii) to improve the accuracy of other fractional approaches proposed in literature. The investigation was validated by means of experimental data gathered from shear creep-recovery tests carried out at various temperatures on two modified bituminous binders containing a styrene–butadiene–styrene polymer and crumb rubber from end-of-life tires.

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Authors and Affiliations

  1. Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy

    Alberto Sapora, Pietro Cornetti & Alberto Carpinteri

  2. Department of Environment, Land and Infrastructure Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy

    Orazio Baglieri & Ezio Santagata

Authors
  1. Alberto Sapora
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  2. Pietro Cornetti
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  3. Alberto Carpinteri
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  4. Orazio Baglieri
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  5. Ezio Santagata
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Correspondence to Alberto Sapora.

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Sapora, A., Cornetti, P., Carpinteri, A. et al. The use of fractional calculus to model the experimental creep-recovery behavior of modified bituminous binders. Mater Struct 49, 45–55 (2016). https://doi.org/10.1617/s11527-014-0473-6

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  • DOI: https://doi.org/10.1617/s11527-014-0473-6

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