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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 8513240, 11 pages
Research Article

Energy Method Solution for the Vertical Deformation of Longitudinally Coupled Prefabricated Slab Track

1MOE Key Laboratory of High-Speed Railway Engineering, Southwest Jiaotong University, Chengdu 610031, China
2School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China

Correspondence should be addressed to Juanjuan Ren and Zhibin Jin

Received 26 September 2016; Revised 6 February 2017; Accepted 15 February 2017; Published 20 March 2017

Academic Editor: Roman Lewandowski

Copyright © 2017 Juanjuan Ren 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.


Upwarping on the longitudinally coupled prefabricated slab track system caused by the rising temperature is a common distress, which deteriorates the mechanical properties of the coupled slabs and the vertical stability of slabs. The objective of this paper is to quantify the upwarping deformation on the slab subjected to temperature force and to find out the influence of different factors on the upwarping phenomenon of the slabs. An analytical expression is deduced using energy method, and a finite element model is also established to verify the analytical solution’s adequacy. The following main findings are drawn: () when the amplitude of the initial elastic misalignment is equal to a half of the amplitude of the initial plastic misalignment and the half-wavelength takes the most unfavorable value, the maximum relative error between the analytical solution and the result in FEM is only 2.64%, which demonstrates that the analytical solution correlates well with the FEM results. () is closely related with . With the increase of , becomes longer, and the maximum length of the half-wavelength is 7.769 m. () When the total amplitude exaggerates, the slab will be much likely to suffer upwarping.