Numerical Modeling of 3D Slopes with Weak Zones by Random Field and Finite Elements

This work investigates an analysis method for the stability of a three-dimensional (3D) slope with weak zones considering spatial variability on the basis of two-phase random media and the finite element method. By controlling the volume fractions of rock and weak zones, two-phase random media are i...

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Autores principales: Yu-Xiang Xia, Po Cheng, Man-Man Liu, Jun Hu
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/db1baebb90fc4b64852bf616cd3bc68e
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spelling oai:doaj.org-article:db1baebb90fc4b64852bf616cd3bc68e2021-11-11T14:59:00ZNumerical Modeling of 3D Slopes with Weak Zones by Random Field and Finite Elements10.3390/app112198522076-3417https://doaj.org/article/db1baebb90fc4b64852bf616cd3bc68e2021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/9852https://doaj.org/toc/2076-3417This work investigates an analysis method for the stability of a three-dimensional (3D) slope with weak zones considering spatial variability on the basis of two-phase random media and the finite element method. By controlling the volume fractions of rock and weak zones, two-phase random media are incorporated into the 3D slope model to simulate the random distribution of rock and weak zones. Then, a rotation of a Gaussian random field is performed to account for the inclination of the weak zones. The validity of the proposed model for use in the analysis of the stability of 3D slopes with weak zones was verified by comparing it to existing results and analytical solutions. The failure mechanism of the slope is considered by examining the plastic failure zone at incipient slope failure. The safety factor is sensitive to the inclination of the weak zones, but it is predictable. Parametric studies on the inclination of the layer of weak zones demonstrate that when the rotation angle of the weak zones is approximately parallel to the slope inclination, the slope is prone to slippage along the weak zones, resulting in a significant reduction in the safety factor. The findings of this research can serve as the foundation for further research on the stability of slopes with weak zones.Yu-Xiang XiaPo ChengMan-Man LiuJun HuMDPI AGarticleslope stabilitytwo-phase random mediaslope with weak zonesfinite element analysisrandom fieldTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 9852, p 9852 (2021)
institution DOAJ
collection DOAJ
language EN
topic slope stability
two-phase random media
slope with weak zones
finite element analysis
random field
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle slope stability
two-phase random media
slope with weak zones
finite element analysis
random field
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Yu-Xiang Xia
Po Cheng
Man-Man Liu
Jun Hu
Numerical Modeling of 3D Slopes with Weak Zones by Random Field and Finite Elements
description This work investigates an analysis method for the stability of a three-dimensional (3D) slope with weak zones considering spatial variability on the basis of two-phase random media and the finite element method. By controlling the volume fractions of rock and weak zones, two-phase random media are incorporated into the 3D slope model to simulate the random distribution of rock and weak zones. Then, a rotation of a Gaussian random field is performed to account for the inclination of the weak zones. The validity of the proposed model for use in the analysis of the stability of 3D slopes with weak zones was verified by comparing it to existing results and analytical solutions. The failure mechanism of the slope is considered by examining the plastic failure zone at incipient slope failure. The safety factor is sensitive to the inclination of the weak zones, but it is predictable. Parametric studies on the inclination of the layer of weak zones demonstrate that when the rotation angle of the weak zones is approximately parallel to the slope inclination, the slope is prone to slippage along the weak zones, resulting in a significant reduction in the safety factor. The findings of this research can serve as the foundation for further research on the stability of slopes with weak zones.
format article
author Yu-Xiang Xia
Po Cheng
Man-Man Liu
Jun Hu
author_facet Yu-Xiang Xia
Po Cheng
Man-Man Liu
Jun Hu
author_sort Yu-Xiang Xia
title Numerical Modeling of 3D Slopes with Weak Zones by Random Field and Finite Elements
title_short Numerical Modeling of 3D Slopes with Weak Zones by Random Field and Finite Elements
title_full Numerical Modeling of 3D Slopes with Weak Zones by Random Field and Finite Elements
title_fullStr Numerical Modeling of 3D Slopes with Weak Zones by Random Field and Finite Elements
title_full_unstemmed Numerical Modeling of 3D Slopes with Weak Zones by Random Field and Finite Elements
title_sort numerical modeling of 3d slopes with weak zones by random field and finite elements
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/db1baebb90fc4b64852bf616cd3bc68e
work_keys_str_mv AT yuxiangxia numericalmodelingof3dslopeswithweakzonesbyrandomfieldandfiniteelements
AT pocheng numericalmodelingof3dslopeswithweakzonesbyrandomfieldandfiniteelements
AT manmanliu numericalmodelingof3dslopeswithweakzonesbyrandomfieldandfiniteelements
AT junhu numericalmodelingof3dslopeswithweakzonesbyrandomfieldandfiniteelements
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