Mathematical description of rheological properties of asphalt-aggregate mixes
AbstractThe 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.
|Journal series||Bulletin of the Polish Academy of Sciences, Technical Sciences, ISSN 0239-7528|
|Publication size in sheets||0.5|
|Keywords in English||asphalt-aggregate mixes, constitutive equations, fractional derivatives, rheological models|
|ASJC Classification||; ; ; ;|
|Score|| = 25.0, 26-06-2020, ArticleFromJournal|
= 25.0, 26-06-2020, ArticleFromJournal
|Publication indicators||= 19; = 13; = 26.0; : 2013 = 1.411; : 2013 = 1.0 (2) - 2013=1.107 (5)|
|Citation count*||26 (2020-08-23)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.