Abstract

The design of flexible and semi-rigid pavements by applying mechanistic-empirical methods involves the determination of the stress and strain states in accordance with the assumptions of continuum mechanics. Advanced computational models should take into account the rheological properties of asphalt layers. Precise identification of visco-elastic parameters of asphalt aggregate mixtures requires a lot of expensive laboratory experiments. The objective of this paper is to propose a new method allowing the identification of visco-elastic constitutive parameters based only on the mixture composition. The effectiveness of the proposed approach is exemplified in the paper by numerical calcu­lations. Two linear rheological models were analyzed: the classical Burgers model and the Huet-Sayegh model described by fractional derivatives. Constitutive parameters of both models were obtained from the appropriate optimization algo­rithms and numerical techniques for determining inverse Laplace transforms.

Highlights

  • Degradation of road pavement structures is a very complex process

  • The authors of this paper note that the values of the stiffness modulus defined for the same mixture composition at a given temperature and different times can be treated as the load creep test results

  • Zbiciak et al Constitutive models of pavement asphaltic layers based on mixture compositions

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Summary

Introduction

Degradation of road pavement structures is a very complex process. Because of the difficulty of modeling this phenomenon, empirical design methods are usually used. In practical pavement design the simplest way of taking into account rheological effects is to replace the elastic modulus with stiffness modulus Such an approach requires knowledge of the load time and operating temperature for asphaltic material. If the composition of the mixture and the basic properties of the binder are known, the stiffness of asphaltic mixtures can be estimated by using empirical formulas or nomograms This approach allows us to determine the elastic modulus. It is possible to identify the parameters of any visco-elastic rheological model of asphaltic mixtures based on their composition. It is a tool which greatly expands the possibilities of analysis of pavement structures at an early stage of the design, without incurring the costs of determining visco-elastic properties by means of laboratory tests. We analyzed the classical Burgers model and the Huet-Sayegh model described by fractional derivatives

Determining stiffness moduli
Experimental data
Burgers rheological model
Huet-Sayegh rheological model
Conclusions
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