Mathematical description of rheological properties of asphalt-aggregate mixes

Artur Zbiciak

Abstract

The procedure of the formulation of constitutive equations for asphalt-aggregate mixes is based very often on rheological schemes composed of classical elastic, plastic and viscous elements. The parameters of these schemes can be obtained based on laboratory experiments. In order to obtain better curve fitting results one can use non-classical viscoelastic elements described by fractional derivatives. In this paper we present the characteristics of the fractional viscoelastic Huet-Sayegh model as well as the characteristics of an original simplified fractional model. The results have been obtained using algorithms of numerical calculation of inverse Laplace transforms. Then the proposal of an original rheological model including plasticity has been given. The non-linear differential constitutive relationships of such a model are presented in the paper. The results of computer simulations are also visualized. Finally, 3D viscoelasticplastic models of asphalt aggregatemixes are proposed. The models are based on a generalized macroscopic theory taking into account the effect of pressure-dependency on yielding.
Author Artur Zbiciak (FCE / IRB)
Artur Zbiciak,,
- The Institute of Roads and Bridges
Journal seriesBulletin of the Polish Academy of Sciences, Technical Sciences, ISSN 0239-7528
Issue year2013
Vol61
No1
Pages65-72
Publication size in sheets0.5
Keywords in Englishasphalt-aggregate mixes, constitutive equations, fractional derivatives, rheological models
ASJC Classification1702 Artificial Intelligence; 1705 Computer Networks and Communications; 2200 General Engineering; 1710 Information Systems; 3107 Atomic and Molecular Physics, and Optics
DOIDOI:10.2478/bpasts-2013-0005
URL http://www.degruyter.com/view/j/bpasts.2013.61.issue-1/issue-files/bpasts.2013.61.issue-1.xml
Languageen angielski
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Mathematical description of rheological properties of asphalt-aggregate mixes.pdf 415.18 KB
Score (nominal)25
Score sourcejournalList
ScoreMinisterial score = 25.0, 26-06-2020, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 26-06-2020, ArticleFromJournal
Publication indicators Scopus Citations = 19; WoS Citations = 13; GS Citations = 26.0; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 1.411; WoS Impact Factor: 2013 = 1.0 (2) - 2013=1.107 (5)
Citation count*26 (2020-08-23)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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