Optimization and variational principles for the shear strength reduction method

0548188 - ÚGN 2022 RIV US eng J - Journal Article
Sysala, Stanislav - Hrubešová, Eva - Michalec, Zdeněk - Tschuchnigg, F.
Optimization and variational principles for the shear strength reduction method.
International Journal for Numerical and Analytical Methods in Geomechanics. Roč. 45, č. 16 (2021), s. 2388-2407. ISSN 0363-9061. E-ISSN 1096-9853
R&D Projects: GA ČR(CZ) GA19-11441S
Institutional support: RVO:68145535
Keywords : convex optimization * finite elements and mesh adaptivity * regularization * shear strength reduction method * slope stability * static and kinematic principles
OECD category: Applied mathematics
Impact factor: 4.229, year: 2021
Method of publishing: Limited access
https://onlinelibrary.wiley.com/doi/full/10.1002/nag.3270

In this paper, a modified shear strength reduction method (MSSR) and its optimization variant (OPT-MSSR) are suggested. The idea of MSSR is to approximate the standard shear strength reduction to be more stable and rigorous from the numerical point of view. The MSSR method consists of a simplified associated elasto-plastic model completed by the strength reduction depending on the dilatancy angle. Three Davis' modifications suggested by Tschuchnigg et al. (2015) are interpreted as special cases of MSSR and their factors of safety are compared. The OPT-MSSR method is derived from MSSR on the basis of rigid plastic assumption, similarly as in limit analysis. Using the variational approach, the duality between the static and kinematic principles of OPT-MSSR is shown. The numerical solution of OPT-MSRR is obtained by performing a regularization method in combination with the finite element method, mesh adaptivity and a damped Newton method. In-house codes (Matlab) are used for the implementation of this solution concept. Finally, two slope stability problems are considered, one of which follows from analysis of a real slope. The softwares packages Plaxis and Comsol Multiphysics are used for comparison of the results.
Permanent Link: http://hdl.handle.net/11104/0324296