Earth Pressure of Three-Dimensional Stress States under Different Strength Criteria and Its Application

To solve the Earth pressure problems in practical engineering, such as retaining walls and foundation pits, we derive active and passive Earth pressure formulas in accordance with the relationship between intermediate principal stress and excavation under three-dimensional stress states. The formula...

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Main Authors: Yu Zhang, Jin Liu, Te-Jia Fan, Chen-Yang Xu, Tian-Yi Meng, Yang Zhao, An Su
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2021/6035564
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author Yu Zhang
Jin Liu
Te-Jia Fan
Chen-Yang Xu
Tian-Yi Meng
Yang Zhao
An Su
author_facet Yu Zhang
Jin Liu
Te-Jia Fan
Chen-Yang Xu
Tian-Yi Meng
Yang Zhao
An Su
author_sort Yu Zhang
collection DOAJ
description To solve the Earth pressure problems in practical engineering, such as retaining walls and foundation pits, we derive active and passive Earth pressure formulas in accordance with the relationship between intermediate principal stress and excavation under three-dimensional stress states. The formulas are derived on the basis of the Mohr–Coulomb, spatially mobilized plane (SMP), σ3 SMP, Lade–Duncan, axisymmetric compression- (AC-) SMP strength, and generalized Mises (Gen-Mises) criteria and then extended to clay. We also compare the calculated Earth pressure with the measured data. Results indicate that the Earth pressure considering medium principal stress contribution under a three-dimensional stress state is consistent with the actual engineering. The calculated active Earth pressure in the Mohr–Coulomb strength criterion is larger, and the passive Earth pressure is smaller than the practical one because the intermediate principal stress effect is not considered. The calculated results of the SMP, σ3 SMP, Lade–Duncan, AC-SMP strength, and Gen-Mises criteria are close to the measured data, among which the result of the Gen-Mises criterion is closer. The Earth pressure calculated using the Lade–Duncan criterion is no longer appropriate to describe the Earth pressure under medium principal stress condition in this study. The results of this study have theoretical significance for retaining structure design under a three-dimensional stress state.
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institution Kabale University
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language English
publishDate 2021-01-01
publisher Wiley
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series Advances in Materials Science and Engineering
spelling doaj-art-b8eafcbb073242ce9c0eb7950dab7fb22025-02-03T07:23:59ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422021-01-01202110.1155/2021/60355646035564Earth Pressure of Three-Dimensional Stress States under Different Strength Criteria and Its ApplicationYu Zhang0Jin Liu1Te-Jia Fan2Chen-Yang Xu3Tian-Yi Meng4Yang Zhao5An Su6Civil and Architecture Engineering, Xi’an Technological University, Xi’an, Shaanxi 710021, ChinaCivil and Architecture Engineering, Xi’an Technological University, Xi’an, Shaanxi 710021, ChinaCivil and Architecture Engineering, Xi’an Technological University, Xi’an, Shaanxi 710021, ChinaCivil and Architecture Engineering, Xi’an Technological University, Xi’an, Shaanxi 710021, ChinaCivil and Architecture Engineering, Xi’an Technological University, Xi’an, Shaanxi 710021, ChinaCivil and Architecture Engineering, Xi’an Technological University, Xi’an, Shaanxi 710021, ChinaNorthwest Electric Power Design Institute Co. Ltd. of China Power Engineering Consulting Group, Xi’an, Shaanxi 710075, ChinaTo solve the Earth pressure problems in practical engineering, such as retaining walls and foundation pits, we derive active and passive Earth pressure formulas in accordance with the relationship between intermediate principal stress and excavation under three-dimensional stress states. The formulas are derived on the basis of the Mohr–Coulomb, spatially mobilized plane (SMP), σ3 SMP, Lade–Duncan, axisymmetric compression- (AC-) SMP strength, and generalized Mises (Gen-Mises) criteria and then extended to clay. We also compare the calculated Earth pressure with the measured data. Results indicate that the Earth pressure considering medium principal stress contribution under a three-dimensional stress state is consistent with the actual engineering. The calculated active Earth pressure in the Mohr–Coulomb strength criterion is larger, and the passive Earth pressure is smaller than the practical one because the intermediate principal stress effect is not considered. The calculated results of the SMP, σ3 SMP, Lade–Duncan, AC-SMP strength, and Gen-Mises criteria are close to the measured data, among which the result of the Gen-Mises criterion is closer. The Earth pressure calculated using the Lade–Duncan criterion is no longer appropriate to describe the Earth pressure under medium principal stress condition in this study. The results of this study have theoretical significance for retaining structure design under a three-dimensional stress state.http://dx.doi.org/10.1155/2021/6035564
spellingShingle Yu Zhang
Jin Liu
Te-Jia Fan
Chen-Yang Xu
Tian-Yi Meng
Yang Zhao
An Su
Earth Pressure of Three-Dimensional Stress States under Different Strength Criteria and Its Application
Advances in Materials Science and Engineering
title Earth Pressure of Three-Dimensional Stress States under Different Strength Criteria and Its Application
title_full Earth Pressure of Three-Dimensional Stress States under Different Strength Criteria and Its Application
title_fullStr Earth Pressure of Three-Dimensional Stress States under Different Strength Criteria and Its Application
title_full_unstemmed Earth Pressure of Three-Dimensional Stress States under Different Strength Criteria and Its Application
title_short Earth Pressure of Three-Dimensional Stress States under Different Strength Criteria and Its Application
title_sort earth pressure of three dimensional stress states under different strength criteria and its application
url http://dx.doi.org/10.1155/2021/6035564
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AT tejiafan earthpressureofthreedimensionalstressstatesunderdifferentstrengthcriteriaanditsapplication
AT chenyangxu earthpressureofthreedimensionalstressstatesunderdifferentstrengthcriteriaanditsapplication
AT tianyimeng earthpressureofthreedimensionalstressstatesunderdifferentstrengthcriteriaanditsapplication
AT yangzhao earthpressureofthreedimensionalstressstatesunderdifferentstrengthcriteriaanditsapplication
AT ansu earthpressureofthreedimensionalstressstatesunderdifferentstrengthcriteriaanditsapplication