Wang, J and Yu, H-S orcid.org/0000-0003-3330-1531 (2021) Shakedown analysis and its application in pavement and railway engineering. Computers and Geotechnics, 138. 104281. ISSN 0266-352X
Abstract
This paper has been prepared in memory of Professor Scott Sloan. It first presents a brief review of the development of shakedown analysis methods for pavement and railway engineering problems. In particular, it describes a new lower-bound method using the concept of critical residual stress fields and an upper-bound method using a nonlinear programming technique, which were developed by the authors, and then extended and applied to solve various shakedown problems in pavement and railway engineering. Moreover, this paper summarises and compares shakedown solutions for pavement and railway engineering problems, whilst highlighting the key factors that influence the shakedown limits. In addition, this paper proposes a simple, unified shakedown limit equation for pavements and railways under repeated moving surface loads. The equation includes three terms, which represent the resistances from cohesion, self-weight of the underlying soil, and self-weight of any superficial rigid layers, respectively, in a format analogous to Terzaghi’s bearing capacity equation. Numerical results indicate that the coefficient in the cohesion term Nsd/c depends on the soil friction angle; while the coefficient in the self-weight term Nsd/γ is controlled by the soil friction angle and a dimensional factor γa/c. Values of Nsd/c and Nsd/γ for a typical rolling point contact problem are also presented and interpreted, which explain the different contribution ratios from the soil self-weight to the shakedown limits of pavement and railway problems.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 Published by Elsevier Ltd. This is an author produced version of an article published in Computers and Geotechnics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Shakedown; Pavement; Railway; Lower bound; Upper bound; Unified equation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Civil Engineering (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Jul 2021 13:02 |
Last Modified: | 23 Jun 2022 00:13 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.compgeo.2021.104281 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:176229 |
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