Extension of Modified Havriliak-Negami Model to Characterize Linear Viscoelastic Properties of Asphalt Binders

Accurate characterization of mechanical properties of asphalt binders plays an important role in the evaluation and selection of binders, and in the design and analysis of mixtures. In this study the modified Havriliak-Negami model previously proposed for complex modulus of asphalt concrete is extended to account for the steady-state flow behavior of viscoelastic liquid materials. The analytical forms of storage and loss modulus master curves are derived from the complex modulus model through complex algebra. The Kronig-Kramers relations of the model are satisfied so that various LVE functions are equivalent and the causality of the model is fulfilled. In addition, the same time-temperature shift factor applies to various LVE functions. Thus, the model is consistent with the LVE theory. The model is fitted to complex modulus test results of various asphalt binders. The results show that the model can accurately characterize the properties of asphalt binders, regardless of whether they show viscoelastic liquid or viscoelastic solid behavior. The results presented in this study together with those presented previously for mixtures indicate that the model provides a consistent and effective approach of characterizing the LVE properties of both asphalt binders and mixtures.