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Storage and Dissipation of Energy in Prabhakar Viscoelasticity

Author

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  • Ivano Colombaro

    (Department of Information and Communication Technologies, Universitat Pompeu Fabra, C/Roc Boronat 138, 08018 Barcelona, Spain)

  • Andrea Giusti

    (Department of Physics & Astronomy, University of Bologna, Via Irnerio 46, 40126 Bologna, Italy
    I.N.F.N., Sezione di Bologna, via B. Pichat 6/2, I-40127 Bologna, Italy
    Arnold Sommerfeld Center, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 München, Germany)

  • Silvia Vitali

    (Department of Physics & Astronomy, University of Bologna, Via Irnerio 46, 40126 Bologna, Italy)

Abstract

In this paper, after a brief review of the physical notion of quality factor in viscoelasticity, we present a complete discussion of the attenuation processes emerging in the Maxwell–Prabhakar model, recently developed by Giusti and Colombaro. Then, taking profit of some illuminating plots, we discuss some potential connections between the presented model and the modern mathematical modelling of seismic processes.

Suggested Citation

  • Ivano Colombaro & Andrea Giusti & Silvia Vitali, 2018. "Storage and Dissipation of Energy in Prabhakar Viscoelasticity," Mathematics, MDPI, vol. 6(2), pages 1-9, January.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:2:p:15-:d:128168
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    References listed on IDEAS

    as
    1. Garra, Roberto & Mainardi, Francesco & Spada, Giorgio, 2017. "A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 333-338.
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