Optimization and variational principles for the shear strength reduction method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F21%3A00548188" target="_blank" >RIV/68145535:_____/21:00548188 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27120/21:10248971

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/full/10.1002/nag.3270" target="_blank" >https://onlinelibrary.wiley.com/doi/full/10.1002/nag.3270</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nag.3270" target="_blank" >10.1002/nag.3270</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Optimization and variational principles for the shear strength reduction method

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Optimization and variational principles for the shear strength reduction method

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA19-11441S" target="_blank" >GA19-11441S: Efektivní a spolehlivé výpočetní techniky pro limitní analýzu a přírůstkové metody v geotechnické stabilitě</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal for Numerical and Analytical Methods in Geomechanics

ISSN

0363-9061

e-ISSN

1096-9853

Svazek periodika

45

Číslo periodika v rámci svazku

16

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

20

Strana od-do

2388-2407

Kód UT WoS článku

000687027100001

EID výsledku v databázi Scopus

2-s2.0-85113158232