Abstract
This paper establishes the equivalent relationships between the half-sinusoidal load, triangular load, vertical stepwise load, and moving traffic load. The governing equation was established for analyzing the dynamic responses of pavement, and half-sinusoidal load, triangular load, and vertical stepwise load functions were transformed into Fourier series expressions. The partial differential governing equations were simplified as ordinary differential equations and the analytical solutions were obtained. Further, the solutions were validated through comparing the theoretical results with numerical simulated results. Calculation results revealed that, for unchanged load periods, increasing the amplitudes of the three loads by 1.06, 1.31, and 1.35 times can better simulate the moving traffic loads. For unchanged load function amplitudes, increasing the function periods by 1.07, 2.23, and 2.1 times (for half-sinusoidal, triangular, and vertical stepwise loads, resp.) can improve the simulation performance. The fatigue life of asphalt pavements under the moving traffic load agrees with that of the three load simulations, indicating that the fatigue life of asphalt pavements is only associated with the load amplitude but not the load patterns.
Highlights
Due to the excellent suitability for vehicles, asphalt pavements have become the preferred pavement structure type in highway construction in many countries
Nf is the number of axle loadings, E is the elastic modulus, εt is the tensile strain at the surface of the asphalt pavement, C is the coefficient associated with the asphalt mixture volume, k is the coefficient associated with the asphalt mixture thickness(units: -)
This paper derived the explicit analytic solutions to dynamic response of asphalt pavements under three impulsive load conditions and compared the results with the calculated results by the finite software ABAQUS to verify the validity of the explicit analytical solutions derived. This can provide theoretical supports for the treatment of rutting of asphalt pavement with theoretical bases, which is of practical importance to asphalt pavement projects
Summary
Due to the excellent suitability for vehicles, asphalt pavements have become the preferred pavement structure type in highway construction in many countries. Some researchers carried out tracking surveys on asphalt pavements in use and conducted long-term monitoring of the structural behavior of pavements and thereby established models in which various factors affect pavement properties [10,11,12]. This type of study demands relatively long test periods and is labor- and resource-intensive, but Mathematical Problems in Engineering the results obtained are only applicable to certain specific pavement environments, materials, and load conditions
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