Zhuang, PZ orcid.org/0000-0002-7377-7297 and Yu, HS orcid.org/0000-0003-3330-1531 (2019) Two-dimensional elastoplastic analysis of cylindrical cavity problems in Tresca materials. International Journal for Numerical and Analytical Methods in Geomechanics, 43 (8). pp. 1612-1633. ISSN 0363-9061
Abstract
This paper presents analytical elastic-plastic solutions for static stress loading analysis and quasi-static expansion analysis of a cylindrical cavity in Tresca materials, considering biaxial far-field stresses and shear stresses along the inner cavity wall. The two-dimensional static stress solution is obtained by assuming that the plastic zone is statically determinate and using the complex variable theory in the elastic analysis. A rigorous conformal mapping function is constructed, which predicts that the elastic-plastic boundary is in an elliptic shape under biaxial in situ stresses, and the range of the plastic zone extends with increasing internal shear stresses. The major axis of the elliptical elastic-plastic boundary coincides with the direction of the maximum far-field compression stress. Furthermore, considering the internal shear stresses, an analytical large-strain displacement solution is derived for continuous cavity expansion analysis in a hydrostatic initial stress filed. Based on the derived analytical stress and displacement solutions, the influence of the internal shear stresses on the quasi-static cavity expansion process is studied. It is shown that additional shear stresses could reduce the required normal expansion pressure to a certain degree, which partly explains the great reduction of the axial soil resistance due to rotations in rotating cone penetration tests. In addition, through additionally considering the potential influences of biaxial in situ stresses and shear stresses generated around the borehole during drillings, an improved cavity expansion approach for estimating the maximum allowable mud pressure of horizontal directional drillings (HDDs) in undrained clays is proposed and validated.
Metadata
Item Type: | Article |
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Authors/Creators: | |
Copyright, Publisher and Additional Information: | (c) 2019, John Wiley & Sons, Ltd. This is the peer reviewed version of the following article: 'Zhuang, PZ and Yu, HS (2019) Two-dimensional elastoplastic analysis of cylindrical cavity problems in Tresca materials. International Journal for Numerical and Analytical Methods in Geomechanics, 43 (8). pp. 1612-1633,' which has been published in final form at [https://doi.org/10.1002/nag.2925]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. |
Keywords: | cavity expansion, conformal mapping function, shear stress, biaxial in-situ stresses, rotating cone penetration test, horizontal directional drilling |
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: | 25 Apr 2019 09:44 |
Last Modified: | 14 Mar 2020 01:38 |
Status: | Published |
Publisher: | Wiley |
Identification Number: | 10.1002/nag.2925 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:145022 |