A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability

Stanislav Sysala; Eva Hrubešová; Zdeněk Michalec; Franz Tschuchnigg

doi:10.1007/978-3-031-12851-6_52

A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability

Stanislav Sysala^*, Eva Hrubešová, Zdeněk Michalec, Franz Tschuchnigg

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in einem Konferenzband › Begutachtung

Abstract

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.

Originalsprache	englisch
Titel	Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 3
Redakteure/-innen	Marco Barla, Alessandra Insana, Alice Di Donna, Donatella Sterpi
Seiten	441-448
Seitenumfang	8
Band	3
ISBN (elektronisch)	978-3-031-12851-6
DOIs	https://doi.org/10.1007/978-3-031-12851-6_52
Publikationsstatus	Veröffentlicht - 2023
Veranstaltung	16th International Conference on Computer Methods and Advances in Geomechanics: IACMAG 2022 - Hybrider Event, Torino, Italien Dauer: 30 Aug. 2022 → 2 Sept. 2022 https://iacmag2022.org/

Publikationsreihe

Name	Lecture Notes in Civil Engineering
Band	288 LNCE
ISSN (Print)	2366-2557
ISSN (elektronisch)	2366-2565

Konferenz

Konferenz	16th International Conference on Computer Methods and Advances in Geomechanics
Land/Gebiet	Italien
Ort	Hybrider Event, Torino
Zeitraum	30/08/22 → 2/09/22
Internetadresse	https://iacmag2022.org/

ASJC Scopus subject areas

Tief- und Ingenieurbau

Zugriff auf Dokument

10.1007/978-3-031-12851-6_52

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Sysala, S., Hrubešová, E., Michalec, Z., & Tschuchnigg, F. (2023). A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability. in M. Barla, A. Insana, A. Di Donna, & D. Sterpi (Hrsg.), Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 3 (Band 3, S. 441-448). (Lecture Notes in Civil Engineering; Band 288 LNCE). https://doi.org/10.1007/978-3-031-12851-6_52

A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability. / Sysala, Stanislav; Hrubešová, Eva; Michalec, Zdeněk et al.
Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 3. Hrsg. / Marco Barla; Alessandra Insana; Alice Di Donna; Donatella Sterpi. Band 3 2023. S. 441-448 (Lecture Notes in Civil Engineering; Band 288 LNCE).

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in einem Konferenzband › Begutachtung

Sysala, S, Hrubešová, E, Michalec, Z & Tschuchnigg, F 2023, A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability. in M Barla, A Insana, A Di Donna & D Sterpi (Hrsg.), Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 3. Bd. 3, Lecture Notes in Civil Engineering, Bd. 288 LNCE, S. 441-448, 16th International Conference on Computer Methods and Advances in Geomechanics, Hybrider Event, Torino, Italien, 30/08/22. https://doi.org/10.1007/978-3-031-12851-6_52

Sysala S, Hrubešová E, Michalec Z, Tschuchnigg F. A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability. in Barla M, Insana A, Di Donna A, Sterpi D, Hrsg., Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 3. Band 3. 2023. S. 441-448. (Lecture Notes in Civil Engineering). Epub 2022 Jul 31. doi: 10.1007/978-3-031-12851-6_52

Sysala, Stanislav ; Hrubešová, Eva ; Michalec, Zdeněk et al. / A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability. Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 3. Hrsg. / Marco Barla ; Alessandra Insana ; Alice Di Donna ; Donatella Sterpi. Band 3 2023. S. 441-448 (Lecture Notes in Civil Engineering).

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AB - 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.

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A Rigorous Variant of the Shear Strength Reduction Method and Its Usage in Slope Stability

Abstract

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