The procedure of the formulation of constitutive equations for asphalt-aggregate mixtures is based very often on linear rheological schemes composed of classical elastic and viscous elements. The parameters of these schemes can be obtained based on laboratory experiments. It was proved in the literature that it is possible to obtain better curve fitting results using non-classical viscoelastic elements described by fractional derivatives. In this paper we will present the characteristics of the fractional Huet-Sayegh model. The problem of estimation of its parameters was analyzed in our previous paper.We will show the results of calculations in the form of creep and relaxation curves as well as hysteretic loops. The characteristics of the fractal model will be compared with the characteristics of the classical viscoelastic Burgers model. The results were obtained using algorithms of numerical calculation of inverse Laplace transforms.
CHARACTERISTICS OF FRACTIONAL RHEOLOGICAL MODELS OF ASPHALT-AGGREGATE MIXTURES
In the procedure of formulating constitutive relations for asphalt-aggregate mixtures (AAM), linear rheological structures containing classical elastic and viscous elements are most often used. The values of the parameters of such structures are determined based on the results of experimental tests. Many papers have shown that the use of non-classical viscoelastic elements, described by means of a fractional-order derivative (fractal derivative), enables a better fit of test results.
In this study, we deal with the characteristics of the fractal Huet-Sayegh model. The issue of estimating its parameters was presented in our previous paper
[2]. We will provide the results of calculations in the form of creep, relaxation, and hysteresis loop curves.
The characteristics of the fractal model will be presented against the background of the characteristics of the classical, viscoelastic Burgers model. The solutions were obtained using algorithms for the numerical determination of inverse Laplace transforms. (…)
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Source: Logistyka Magazine