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Application of Dynamic Analysis in Semi-Analytical Finite Element Method

Institute of Highway Engineering, RWTH Aachen University, Mies-van-der-Rohe-Street 1, D52074 Aachen, Germany
Department of Civil Engineering, Tsinghua University, Beijing 100084, China
Institute of Highway Engineering, Paul-Bonatz-Street 9–11, University of Siegen, D57076 Siegen, Germany
Author to whom correspondence should be addressed.
Materials 2017, 10(9), 1010;
Received: 28 July 2017 / Revised: 25 August 2017 / Accepted: 25 August 2017 / Published: 30 August 2017
(This article belongs to the Special Issue Theory, Experiment and Modelling of the Dynamic Response of Materials)
PDF [5301 KB, uploaded 31 August 2017]


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. View Full-Text
Keywords: dynamic analysis; semi-analytical finite element method; asphalt pavement; moving loads; pavement design and diagnostics dynamic analysis; semi-analytical finite element method; asphalt pavement; moving loads; pavement design and diagnostics

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Liu, P.; Xing, Q.; Wang, D.; Oeser, M. Application of Dynamic Analysis in Semi-Analytical Finite Element Method. Materials 2017, 10, 1010.

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