Abstract
Shakedown limits can be used to predict different long-term responses of geo-structures under repeated moving loads. Based on lower-bound shakedown theorems, static and dynamic shakedown limits were obtained respectively for slab substructures under train loads of various speeds. The determination of the dynamic shakedown limit is relatively complicated due to the calculation of stable dynamic elastic stresses in the substructures. It was found the change of the dynamic shakedown limit from the corresponding static one is highly dependent on soil friction angle and a velocity factor (train speed over critical speed of the substructure). A simple relation between the dynamic shakedown limits at various speeds and the static one is then proposed which can serve as an efficient approach to estimate the influence of the train speed on the long-term performance of substructure.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Yu, H.S.: Plasticity and Geotechnics. Springer, UK (2006)
Boulbibane, M., Weichert, D.: Application of shakedown theory to soils with non associated flow rules. Mech. Res. Commun. 24(5), 513–519 (1997)
Collins, I.F., Wang, A.P., Saunders, L.R.: Shakedown in layered pavements under moving surface loads. Int. J. Num. Anal. Methods Geomech. 17(3), 165–174 (1993)
Ponter, A.R.S., Chen, H.F., Ciavarella, M., Specchia, G.: Shakedown analyses for rolling and sliding contact problems. Int. J. Solids Struct. 43(14–15), 4201–4219 (2006)
Wang, J., Liu, S., Yang, W.: Dynamics shakedown analysis of slab track substructures with reference to critical speed. Soil Dyn. Earthquake Eng. 106, 1–13 (2018)
Yu, H.S., Wang, J.: Three-dimensional shakedown solutions for cohesive-frictional materials under moving surface loads. Int. J. Solids Struct. 49(26), 3797–3807 (2012)
Liu, S., Wang, J., Yu, H.S., Wanatowski, D.: Shakedown for slab track substructures with stiffness variation. Geotechnical research (2018). https://doi.org/10.1680/jgere.17.00018
Kouroussis, G., Parys, L.V., Conti, C., Verlinden, O.: Using three-dimensional finite element analysis in time domain to model railway-induced ground vibrations. Adv. Eng. Softw. 70(2), 63–76 (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Wang, J., Liu, S. (2018). The Relation Between Static and Dynamic Shakedown Limits of Slab Track Substructures Under Moving Train Loads. In: Wu, W., Yu, HS. (eds) Proceedings of China-Europe Conference on Geotechnical Engineering. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-97115-5_183
Download citation
DOI: https://doi.org/10.1007/978-3-319-97115-5_183
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-97114-8
Online ISBN: 978-3-319-97115-5
eBook Packages: EngineeringEngineering (R0)