Lower Bound Finite Element Limit Analysis of Geo-Structures with Non-Associated Flow Rule

Payan, Meghdad and Fathipour, Hessam and Hosseini, Maryam and Chenari, Reza Jamshidi and Shiau, Jim S. ORCID: https://orcid.org/0000-0002-9220-3184 (2022) Lower Bound Finite Element Limit Analysis of Geo-Structures with Non-Associated Flow Rule. Computers and Geotechnics, 147:104803. pp. 1-15. ISSN 0266-352X


Abstract

The use of finite elements and limit analysis in the stability analysis of geo-structures is not uncommon nowadays, with the assumption of associated flow rule and rigid perfectly plastic constitutive soil model. Nevertheless, the simplified assumption may lead to misevaluation of the objective function for the nonlinear optimisation solution, thus giving rise to uncertainty in the design of geo-structures. In this study, the influence of non- associated flow rule on the stability evaluations for obliquely- and eccentrically-loaded shallow foundations, as well as for retaining structures with cohesionless granular backfill, is examined using lower bound finite elements and second-order cone programming (SOCP). A wide range of dilation angles ( ψ ) is considered for the study (e.g., from zero to a maximum of soil internal friction angle φ), and it is generally observed that failing to consider the non-associated flow rule in the soil constitutive model would yield non-conservative designs of geo- structures. These inaccurate predictions and subsequent unreliable stability analysis are more pronounced in cases of large soil internal friction angles. The findings in this study would be of great importance for practical design applications.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: Current – Faculty of Health, Engineering and Sciences - School of Engineering (1 Jan 2022 -)
Faculty/School / Institute/Centre: Current – Faculty of Health, Engineering and Sciences - School of Engineering (1 Jan 2022 -)
Date Deposited: 11 May 2022 01:12
Last Modified: 19 May 2022 02:27
Uncontrolled Keywords: Non-associated flow rule; Lower bound; Finite element limit analysis (FELA); Second-order cone programming (SOCP); Bearing capacity; Lateral earth pressure
Fields of Research (2020): 40 ENGINEERING > 4005 Civil engineering > 400502 Civil geotechnical engineering
Identification Number or DOI: https://doi.org/10.1016/j.compgeo.2022.104803
URI: http://eprints.usq.edu.au/id/eprint/48437

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