Optimization and variational principles for the shear strength reduction method

Stanislav Sysala; Eva Hrubešová; Zdeněk Michalec; Franz Tschuchnigg

doi:10.1002/nag.3270

journal article Aug 22, 2021

Optimization and variational principles for the shear strength reduction method

Stanislav Sysala

Eva Hrubešová Zdeněk Michalec Franz Tschuchnigg

International Journal for Numerical and Analytical Methods in Geomechanics Vol. 45 No. 16 pp. 2388-2407 · Wiley

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Abstract

AbstractIn 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.

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Metrics

14

Citations

43

References

Details

Published: Aug 22, 2021
Vol/Issue: 45(16)
Pages: 2388-2407
License: View

Authors

S

Stanislav Sysala

Institute of Geonics of the Czech Academy of Sciences Ostrava Czech Republic

E

Eva Hrubešová

Institute of Geonics of the Czech Academy of Sciences Ostrava Czech Republic; Faculty of Civil Engineering VŠB ‐ Technical University of Ostrava Ostrava Czech Republic

Z

Zdeněk Michalec

Institute of Geonics of the Czech Academy of Sciences Ostrava Czech Republic

F

Franz Tschuchnigg

Institute of Soil Mechanics, Foundation Engineering and Computational Geotechnics Graz University of Technology Graz Austria

Funding

Grantova Agentura Ceske Republiky Award: 19‐11441S

Cite This Article

Stanislav Sysala, Eva Hrubešová, Zdeněk Michalec, et al. (2021). Optimization and variational principles for the shear strength reduction method. International Journal for Numerical and Analytical Methods in Geomechanics, 45(16), 2388-2407. https://doi.org/10.1002/nag.3270

Optimization and variational principles for the shear strength reduction method

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