Comparison of yield-vertex tangential loading and principal stress rotational loading

Lu, Nan and Yang, Yunming and Yu, Hai-Sui (2019) Comparison of yield-vertex tangential loading and principal stress rotational loading. Computers and Geotechnics, 108 . pp. 88-94. ISSN 1873-7633

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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.

Item Type: Article
Keywords: Plasticity; Tangential loading; Principal stress rotation; Simple shear; Footing
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > Department of Architecture and Built Environment
University of Nottingham Ningbo China > Faculty of Science and Engineering > Department of Civil Engineering
Identification Number: https://doi.org/10.1016/j.compgeo.2018.12.009
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URLURL Type
https://www.sciencedirect.com/science/article/pii/S0266352X18303148Publisher
Depositing User: Yu, Tiffany
Date Deposited: 21 Jan 2019 09:38
Last Modified: 21 Jan 2019 09:38
URI: http://eprints.nottingham.ac.uk/id/eprint/55923

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