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.
Original language | English |
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Title of host publication | Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 3 |
Editors | Marco Barla, Alessandra Insana, Alice Di Donna, Donatella Sterpi |
Pages | 441-448 |
Number of pages | 8 |
Volume | 3 |
ISBN (Electronic) | 978-3-031-12851-6 |
DOIs | |
Publication status | Published - 2023 |
Event | 16th International Conference on Computer Methods and Advances in Geomechanics: IACMAG 2022 - Hybrider Event, Torino, Italy Duration: 30 Aug 2022 → 2 Sept 2022 https://iacmag2022.org/ |
Publication series
Name | Lecture Notes in Civil Engineering |
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Volume | 288 LNCE |
ISSN (Print) | 2366-2557 |
ISSN (Electronic) | 2366-2565 |
Conference
Conference | 16th International Conference on Computer Methods and Advances in Geomechanics |
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Country/Territory | Italy |
City | Hybrider Event, Torino |
Period | 30/08/22 → 2/09/22 |
Internet address |
Keywords
- Convex optimization
- Davis approach
- Finite element method
- Shear strength reduction method
- Slope stability
ASJC Scopus subject areas
- Civil and Structural Engineering