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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2021
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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) |
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DOAJ |
language |
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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 |
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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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1718437934346010624 |