Optimization and variational principles for the shear strength reduction method

Stanislav Sysala*, Eva Hrubesova, Zdeněk Michalec, Franz Tschuchnigg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Pages (from-to)2388-2407
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume45
Issue number16
DOIs
Publication statusPublished - 1 Nov 2021

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