Dynamic Analysis of Displacement of Asphalt Pavement Considering Viscoelastic Properties Under Thermal Coupling

To investigate the displacement variations in asphalt pavement under thermal and vehicular loads within a viscoelastic structural framework, this study applies the modified Burgers viscoelastic model to a layered transversely isotropic system. First, by combining the modified Burgers equation and the basic motion equations of a single-layer system, this study utilizes the transfer relationships in single-layer and layered viscoelastic systems to establish the Green’s function equation for displacement response. Second, it derives the dynamic response equation under vehicle and temperature loads using the Fourier transform. Finally, based on the displacement response equation, Python and adaptive integration technology are used to generate displacement change surfaces in all directions in three-dimensional space. The results indicate that the displacement field exhibits symmetry and significant oscillations in three directions, with nonuniformly distributed extreme values in the w -direction, leading to reduced bearing capacity. Displacements under loading decay exponentially with increasing coordinates, and boundary areas exhibit an increasing trend, highlighting the complexity and variability in displacement changes. The structural displacement of asphalt pavement demonstrates typical nonlinear characteristics, with fluctuation amplitudes increasing significantly over time. This study provides a theoretical basis for understanding the damage evolution mechanism of asphalt pavement under multiphysical field coupling and could be a scientific reference for the design and optimization of asphalt pavement structures in road engineering.