Song, X-G, Yang, H, Yue, H-Y et al. (3 more authors) (2022) Closed-form solutions for large strain analysis of cavity contraction in a bounded Mohr-Coulomb medium. European Journal of Environmental and Civil Engineering, 26 (10). pp. 4548-4575. ISSN 1964-8189
Abstract
This paper presents rigorous analytical solutions for cavity contraction analysis of a thick-walled cylinder/sphere after an arbitrary magnitude of expansion. Closed-form solutions are given for the distribution of stress and displacement within the cylinder/sphere of soil that is subjected to constant external pressure and monotonically decreasing internal pressure. The soil is modelled as an elastic-perfectly plastic material obeying the Mohr-Coulomb yield criterion and a non-associated flow rule. Large strain effects are taken into account by adopting the logarithmic strain definition in the plastic deformation analysis. The new solutions are validated with published results at first, then parametric studies are carried out. It is shown that the reference stress state (e.g. in-situ, elastic, partially plastic and fully plastic) and the cavity geometry ratio may greatly affect the unloading behaviour, in particular, when the cavity geometry ratio is smaller than a limit value. Finally, three typical applications of the solutions are demonstrated, including (i) design of the thickness of frozen cylinder walls accounting for large deformation effects, (ii) interpretation of laboratory pressuremeter tests with consideration of effect of the constant stress boundary, and (iii) shakedown analysis of a soil cylinder/sphere considering its geometry changes upon cyclic loading and unloading.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020 Informa UK Limited, trading as Taylor & Francis Group. This is an author produced version of a journal article published in European Journal of Environmental and Civil Engineering. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Cavity contraction; boundary effect; shakedown; pressuremeter; frozen earth wall |
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: | 06 May 2021 09:31 |
Last Modified: | 08 Dec 2022 11:35 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/19648189.2020.1857309 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:173543 |