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Slope stability analyses considering non‐associated plasticity: Application to boundary value problem
Author(s) -
TSCHUCHNIGG Franz,
OBERHOLLENZER Simon,
SCHWEIGER Helmut
Publication year - 2018
Publication title -
ce/papers
Language(s) - English
Resource type - Journals
ISSN - 2509-7075
DOI - 10.1002/cepa.770
Subject(s) - plasticity , strength reduction , finite element method , stability (learning theory) , limit (mathematics) , displacement (psychology) , reduction (mathematics) , boundary value problem , boundary (topology) , flow (mathematics) , mathematics , safety factor , nap , value (mathematics) , computer science , mathematical optimization , structural engineering , mathematical analysis , engineering , geometry , statistics , physics , thermodynamics , psychology , machine learning , neuroscience , biology , psychotherapist
Limit equilibrium (LE) methods are commonly used in geotechnical engineering to determine the factor of safety (FS). On the other hand, powerful numerical techniques like the displacement based finite element (FE) method and FE limit analyses are utilized with increased regularity. The latter approach is limited to associated plasticity. Therefore, Davis suggested to use reduced strength parameters (RSP) in combination with an associated flow rule in order to model non‐associated plasticity (NAP). Applying this approach to slope stability leads to very conservative results compared to strength reduction finite element analyses (SRFEA) with NAP. This issue may be overcome by modifications of the original Davis approach, where the RSP are related to the actual degree of NA. The paper presents results of the different Davis approaches on a real boundary value problem. Moreover, results from LE calculations and SRFEA are compared with the obtained ones. From these follow that the modified versions still result in conservative FS but achieve a far better agreement with SRFEA.