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A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability
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SYSNO ASEP 0559883 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability Author(s) Sysala, Stanislav (UGN-S) RID, ORCID
Hrubešová, Eva (UGN-S)
Michalec, Zdeněk (UGN-S)
Tschuchnigg, F. (AT)Number of authors 4 Source Title Challenges and Innovations in Geomechanics, Proceedings of the 16th International Conference of IACMAG, 3. - Cham : Springer Nature Switzerland AG, 2023 / Barla M. ; Di Donna A. ; Sterpi D. ; Insana A. - ISSN 2366-2557 - ISBN 978-3-031-12850-9 Pages s. 441-448 Number of pages 8 s. Publication form Online - E Action International Conference of the International Association for Computer Methods and Advances in Geomechanics Event date 30.08.2022 - 02.09.2022 VEvent location Turin Country IT - Italy Event type WRD Language eng - English Country CH - Switzerland Keywords slope stability ; shear strength reduction method ; Davis approach ; convex optimization ; finite element method Subject RIV JM - Building Engineering OECD category Applied mathematics R&D Projects GA19-11441S GA ČR - Czech Science Foundation (CSF) Institutional support UGN-S - RVO:68145535 EID SCOPUS 85136334597 DOI 10.1007/978-3-031-12851-6_52 Annotation The shear strength reduction method (SSRM) is a standard method in slope stability enabling to determine the factor of safety and related failure zones. In case of the non-associated Mohr-Coulomb model, the method can oscillate with respect to the refinement of a finite element mesh. To suppress this drawback, the non-associated model is approximated by the associated one such that the strength parameters are reduced by using a function depending on a scalar factor and on the effective friction and dilatancy angles. This modification (MSSRM) can be easily implemented in commercial codes like Plaxis or Comsol Multiphysics. Next, an optimization approach to the modified SSRM (OPT-MSSRM) is introduced. It is shown that the optimization problem is well-defined and can be analyzed by variational principles. For its solution, a regularization method is combined with mesh adaptivity and implemented in Matlab. The SSRM, MSSRM and OPT-MSSRM methods are compared on numerical examples representing a case study of a real heterogeneous slope. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2023 Electronic address https://link.springer.com/chapter/10.1007/978-3-031-12851-6_52
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