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Mathematical Problems in Engineering
Volume 2017, Article ID 3459704, 14 pages
Research Article

Research on Predicting the Rutting of Asphalt Pavement Based on a Simplified Burgers Creep Model

School of Civil Engineering, Central South University, No. 22 Shaoshan South Road, Central South University Railway Campus, Changsha, Hunan Province, China

Correspondence should be addressed to Dan Han-cheng; nc.ude.usc@gnehcnahnad

Received 8 June 2017; Accepted 31 July 2017; Published 12 September 2017

Academic Editor: Anna Vila

Copyright © 2017 Gao Lian-sheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Rutting is one of the most important distresses for asphalt pavement structures especially due to the heavy traffic loadings. In this paper, the solution of Burgers model is employed and simplified, which makes the residual strain only depend on the applied load. Then, the governing equation for dynamic response of pavement was established and a semianalytical solution related to the stress state of asphalt pavement was obtained. Further, an explicit expression was presented and validated to calculate rutting depth of asphalt pavement through incorporating the dynamic stress solution, simplified Burgers model solution, and time hardening model. Compared with the FEM method, the calculation error is less than 5%, which proved the method proposed to be feasible. Compared with the numerical simulation method, every derivation of the rutting formula in this paper has the clear physical meaning and is hence easy to be understood. Besides, the proposed method can save a significant amount of time consumed due to its fast and reliable calculation.