Lu, N, Yang, Y and Yu, HS orcid.org/0000-0003-3330-1531 (2019) Comparison of yield-vertex tangential loading and principal stress rotational loading. Computers and Geotechnics, 108. pp. 88-94. ISSN 0266-352X
Abstract
The yield-vertex tangential loading theory is a constitutive approach that accounts for the plastic straining induced by the part of a stress rate directed tangential to the yield surface. One of the important applications of this theory is in the study of geotechnical problems involving significant rotation of principal stress directions. However, it is inaccurate to simply regard the tangential loading as an equivalence to the principal stress rotation. For future reference, this paper presents an investigation into the difference between the tangential loading theory and a true purely principal stress rotational loading theory. Mathematical derivation shows that the tangential stress rate includes the rotational stress rate and an additional coaxial term that is associated with the variation of the Lode angle. Numerical applications of these two theories indicate that in shear dominated problems, such as simple shear, the two theories are almost identical and interchangeable, but in non-shear dominated circumstances, such as footing, the tangential loading theory produces considerably softer results than the rotational loading theory.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 Elsevier Ltd. All rights reserved. This is an author produced version of a paper published in Computers and Geotechnics. Uploaded in accordance with the publisher's self-archiving policy.Crown Copyright © 2019 Published by Elsevier B.V. This is an author produced version of a paper published in Journal of Hydrology. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Plasticity; Tangential loading; Principal stress rotation; Simple shear; Footing |
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: | 17 Jan 2019 11:15 |
Last Modified: | 24 Dec 2019 01:39 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.compgeo.2018.12.009 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:141152 |