Advanced continuation and iterative methods for slope stability analysis in 3D

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F25%3A00637899" target="_blank" >RIV/68145535:_____/25:00637899 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27240/25:10258515

Výsledek na webu

<a href="https://doi.org/10.1016/j.compstruc.2025.107842" target="_blank" >https://doi.org/10.1016/j.compstruc.2025.107842</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruc.2025.107842" target="_blank" >10.1016/j.compstruc.2025.107842</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Advanced continuation and iterative methods for slope stability analysis in 3D

Popis výsledku v původním jazyce

This paper addresses the solution of slope stability problems in 3D using the finite element method and incremental procedures like the shear strength reduction or limit load methods. We build on Mohr-Coulomb plasticity, Davis' modifications of the non-associated plastic flow rule and recent mathematical results, which relate the factor of safety (FoS) with convex optimization. A complex solution concept is presented in detail and completed with in-house developed, publicly available open-source MATLAB codes. The concept consists of a combination of indirect continuation techniques, inexact Newton-like solvers and deflated Krylov methods with preconditioners. Further, mesh adaptivity is used to reduce overestimation of FoS and determine failure zones more accurately. The solution concept is tested on slope stability benchmarks in 3D and its efficiency is demonstrated. Numerical results are validated against either literature or software COMSOL Multiphysics.

Název v anglickém jazyce

Advanced continuation and iterative methods for slope stability analysis in 3D

Popis výsledku anglicky

This paper addresses the solution of slope stability problems in 3D using the finite element method and incremental procedures like the shear strength reduction or limit load methods. We build on Mohr-Coulomb plasticity, Davis' modifications of the non-associated plastic flow rule and recent mathematical results, which relate the factor of safety (FoS) with convex optimization. A complex solution concept is presented in detail and completed with in-house developed, publicly available open-source MATLAB codes. The concept consists of a combination of indirect continuation techniques, inexact Newton-like solvers and deflated Krylov methods with preconditioners. Further, mesh adaptivity is used to reduce overestimation of FoS and determine failure zones more accurately. The solution concept is tested on slope stability benchmarks in 3D and its efficiency is demonstrated. Numerical results are validated against either literature or software COMSOL Multiphysics.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/EH23_020%2F0008487" target="_blank" >EH23_020/0008487: Inovativní metody diagnostiky materiálů a monitoringu inženýrské infrastruktury pro zvýšení její odolnosti a životnosti (INODIN)</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Computers and Structures

ISSN

0045-7949

e-ISSN

1879-2243

Svazek periodika

315

Číslo periodika v rámci svazku

August 2025

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

14

Strana od-do

107842

Kód UT WoS článku

001502941200001

EID výsledku v databázi Scopus

2-s2.0-105006876743