Mathematical Modeling of the Rheological Behavior of Asphalt Concrete for Smart City Road Infrastructure

Abstract

The paper addresses the mathematical modeling of the rheological behavior of asphalt concrete within the context of Smart City road infrastructure. A modified version of the Burgers model is proposed, integrating components of elasticity, viscous flow, and delayed elasticity. The model is calibrated for conditions of high temperature and cyclic loading, characteristic of the South Caucasus climatic zone. A scheme for real-time analysis of road pavement data, equipped with a sensor network, is proposed, enabling the prediction of the development of deformation mechanisms and the optimization of infrastructure repair work schedules. The results showed that the modified Burgers model describes real deformations 12–15% more accurately compared to classical Maxwell-Kelvin models.