Thermo-dynamic response of porous asphalt pavement system subjected to a moving harmonic load

Because of having amazing mechanical physical properties including noise pollution reduction, quiet, reliability, most cost-effective, sustainable and lasting life, asphalt pavement system has been utilized for parking lots, roadways, airstrips by the most state and federal governments highly prefer asphalt pavement by many civil engineers. Generally, asphalt pavement is made up of sand, stone (aggregate), liquid (petroleum) asphalt and additives. In the present study, the thermo-dynamic behavior of porous viscoelastic asphalt pavement system under a moving harmonic load based on the classical plate theory is analyzed. The asphalt pavement system is modeled as a rectangular sandwich plate structure. Three states of porosity distribution pattern, i.e., uniform porosity, non-uniform symmetric porosity, non-uniform asymmetric porosity distributions are considered for porous asphalt layer which are supposed to vary along the in-plane and thickness directions. The equations of motion are extracted in accordance with Hamilton’s variational principle and then solved using the expanded Fourier series. The accuracy and correctness of the extracted formulation are firmly demonstrated by comparing the data accessible in the literature and finite element simulation COMSOL Multiphysics®. In this study, the dynamic response of the asphalt pavement system was evaluated analytically and numerically by considering the porous asphalt layer under the harmonic load at various velocities in a thermal environment. The classical theory of plates was used for the analytical modeling of the system. The dynamic equations were derived in view of the relations for porosity and thermal strain in the stress-strain matrices in combination with Hamilton’s principle. With the aid of Fourier series expansions, and given the considered boundary conditions, the partial dynamic equations were transformed into differential dynamic equations. Furthermore, the dynamic response of the system was obtained using Laplace transform, which was then evaluated in terms of effective parameters. A finite element simulation software was also used to validate the results against the published articles. In this study, three case of uniform porosity, non-uniform symmetric porosity, non-uniform asymmetric porosity distributions are considered for modeling porous asphalt layer. Parameter studies reveal the impacts of the velocity and the excitation frequency of the harmonic moving load, porosity distributions, and temperature changes on the dynamic response of the pavement system. According to the conducted studies thus far, the dynamic behavior of asphalt pavement system is inevitably affected by such outcomes. Furthermore, the results demonstrated that non-uniform symmetric porosity case is more suitable than the other two types of porosity, The temperature changes lead to a softer asphalt pavement system, With increasing porosity, the dynamic response of the system rises in all the cases of porosity distributions and The amplitude of nondimensional dynamic deflection is directly proportional to the frequency of excitation up to the resonance.