Shakedown Limits of Slab Track Substructures and Their Implications for Design

Juan Wang, Hai Sui Yu, Shu Liu

Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)


This paper presents an approach to shakedown of slab track substructures subjected to train loads. The train load is converted into a distributed moving load on the substructure surface using a simplified track analysis. Based on the lower-bound dynamic shakedown theorem, shakedown solutions for the slab track substructures are obtained over a range of train speeds between zero and the critical speed of the track. It is found the shakedown limit is largely influenced by the ratio of layer elastic moduli and the ratio of train speed to critical speed rather than their absolute values. An attenuation factor, as a function of the critical speed and the friction angle of subsoil, is proposed to effectively obtain the shakedown limit of the slab track substructure at any train speed. In light of the shakedown solutions, improvements to the existing design and analysis approaches are also suggested.

Original languageEnglish
Title of host publicationDirect Methods - Methodological Progress and Engineering Applications, 2019
EditorsAurora Angela Pisano, Konstantinos Vassilios Spiliopoulos, Dieter Weichert
Number of pages15
ISBN (Print)9783030488338
Publication statusPublished - 2021
EventWorkshop on Direct Methods, 2019 - Kraków, Poland
Duration: 10 Sept 201911 Sept 2019

Publication series

NameLecture Notes in Applied and Computational Mechanics
ISSN (Print)1613-7736
ISSN (Electronic)1860-0816


ConferenceWorkshop on Direct Methods, 2019


  • Design
  • Shakedown
  • Slab track
  • Train loads
  • Trains speed

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computational Theory and Mathematics


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