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Materials (Basel). 2017 Aug 30;10(9). pii: E1010. doi: 10.3390/ma10091010.

# Application of Dynamic Analysis in Semi-Analytical Finite Element Method.

### Author information

1
Institute of Highway Engineering, RWTH Aachen University, Mies-van-der-Rohe-Street 1, D52074 Aachen, Germany. liu@isac.rwth-aachen.de.
2
Department of Civil Engineering, Tsinghua University, Beijing 100084, China. xingqy@tsinghua.edu.cn.
3
Institute of Highway Engineering, RWTH Aachen University, Mies-van-der-Rohe-Street 1, D52074 Aachen, Germany. wang@isac.rwth-aachen.de.
4
Institute of Highway Engineering, Paul-Bonatz-Street 9-11, University of Siegen, D57076 Siegen, Germany. wang@isac.rwth-aachen.de.
5
Institute of Highway Engineering, RWTH Aachen University, Mies-van-der-Rohe-Street 1, D52074 Aachen, Germany. oeser@isac.rwth-aachen.de.

### Abstract

Analyses of dynamic responses are significantly important for the design, maintenance and rehabilitation of asphalt pavement. In order to evaluate the dynamic responses of asphalt pavement under moving loads, a specific computational program, SAFEM, was developed based on a semi-analytical finite element method. This method is three-dimensional and only requires a two-dimensional FE discretization by incorporating Fourier series in the third dimension. In this paper, the algorithm to apply the dynamic analysis to SAFEM was introduced in detail. Asphalt pavement models under moving loads were built in the SAFEM and commercial finite element software ABAQUS to verify the accuracy and efficiency of the SAFEM. The verification shows that the computational accuracy of SAFEM is high enough and its computational time is much shorter than ABAQUS. Moreover, experimental verification was carried out and the prediction derived from SAFEM is consistent with the measurement. Therefore, the SAFEM is feasible to reliably predict the dynamic response of asphalt pavement under moving loads, thus proving beneficial to road administration in assessing the pavement's state.

#### KEYWORDS:

asphalt pavement; dynamic analysis; moving loads; pavement design and diagnostics; semi-analytical finite element method