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Linear and nonlinear fractional hereditary constitutive laws of asphalt mixtures


Gaetano Di Mino

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Professor of Pavement Engineering Materials

Mario Di Paola

Francesco Paolo Pinnola




The aim of this paper is to propose a fractional viscoelastic and viscoplastic model of asphalt mixtures using experimental data of several tests such as creep and creep recovery performed at different temperatures and at different stress levels. From a best fitting procedure it is shown that both the creep one and recovery curve follow a power law model. It is shown that the suitable model for asphalt mixtures is a dashpot and a fractional element arranged in series. The proposed model is also available outside of the linear domain but in this case the parameters of the model depend on the stress level. © 2016 Vilnius Gediminas Technical University (VGTU) Press.


Di Mino, G., AIREY, G., Di Paola, M., Pinnola, F. P., D’Angelo, G., & LO PRESTI, D. (2016). Linear and nonlinear fractional hereditary constitutive laws of asphalt mixtures. Journal of Civil Engineering and Management, 22(7), 882-889.

Journal Article Type Article
Acceptance Date Nov 21, 2013
Online Publication Date Jul 12, 2016
Publication Date Jul 12, 2016
Deposit Date Mar 17, 2017
Publicly Available Date Mar 17, 2017
Journal Journal of Civil Engineering and Management
Print ISSN 1392-3730
Electronic ISSN 1822-3605
Publisher Taylor & Francis Open
Peer Reviewed Peer Reviewed
Volume 22
Issue 7
Pages 882-889
Keywords asphalt mixture; creep test; fractional calculus; mechanical models; rheology; viscoelasticity; viscoplasticity; Asphalt; Calculations; Creep; Creep testing; Curve fitting; Mixtures; Rheology; Viscoelasticity; Viscoplasticity; Constitutive law; Creep reco
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