Fast Calculation Method for Mechanical Response at the Surface of Asphalt Pavement under an Elliptical Load
Publication: Journal of Transportation Engineering, Part B: Pavements
Volume 149, Issue 1
Abstract
The poor convergence of surface mechanical responses of asphalt pavement has always been an important factor affecting the application of elastic system mechanics. This paper briefly reviewed the analytical solutions of the elastic multilayered system under an elliptical load. Then, the calculation efficiency of mechanical response at the surface was analyzed. Afterward, the integral kernel oscillation of mechanical response was analyzed. And it shows that the reason for the poor calculating efficiency of surface mechanical response is that Bessel function is difficult to converge. Finally, a fast calculation method was proposed through the piecewise calculation of integral and the simple formula of integral with Bessel function. The accuracy and efficiency of the proposed method was evaluated with comparing the initial calculation program. The result shows that the proposed method could greatly improve the efficiency of calculation and control the error within 1%.
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Data Availability Statement
The data in the section of verification and analysis of the proposed method are available from the corresponding author upon reasonable request.
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© 2022 American Society of Civil Engineers.
History
Received: Jan 3, 2022
Accepted: Sep 12, 2022
Published online: Nov 28, 2022
Published in print: Mar 1, 2023
Discussion open until: Apr 28, 2023
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