How Viscosity of an Asphalt Binder Depends on Temperature: Theoretical Explanation of an Empirical Dependence

Rodriguez Velasquez E.D.; Kreinovich V. · Studies in Computational Intelligence (2023) · DOI: 10.1007/978-3-031-29447-1_18

Resumen

Pavement must be adequate for all the temperatures, ranging from the winter cold to the summer heat. In particular, this means that for all possible temperatures, the viscosity of the asphalt binder must stay within the desired bounds. To predict how the designed pavement will behave under different temperatures, it is desirable to have a general idea of how viscosity changes with temperature. Pavement engineers have come up with an empirical approximate formula describing this change. However, since this formula is purely empirical, with no theoretical justification, practitioners are often somewhat reluctant to depend on this formula. In this paper, we provide a theoretical explanation for this empirical formula—namely, we should that this formula can be naturally derived from natural invariance requirements.

Instituciones: Universidad de Piura