Seismic Non-Limited Active Earth Pressure Analysis of Retaining Walls Under Rotation-About-the-Base Mode

Under seismic loading conditions, the backfill soil behind retaining walls does not fully reach the limit state, while seismic earth pressure is influenced by wall displacement. The RB (rotation about the base) displacement pattern represents a prevalent deformation mode in retaining walls during op...

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Main Authors: Zhiliang Sun, Wei Wang
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/8/4202
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author Zhiliang Sun
Wei Wang
author_facet Zhiliang Sun
Wei Wang
author_sort Zhiliang Sun
collection DOAJ
description Under seismic loading conditions, the backfill soil behind retaining walls does not fully reach the limit state, while seismic earth pressure is influenced by wall displacement. The RB (rotation about the base) displacement pattern represents a prevalent deformation mode in retaining walls during operational service. To calculate the seismic non-limited active earth pressure under RB mode, this study first establishes the relationship between critical horizontal displacement (corresponding to a fully mobilized wall–soil interface friction angle) and depth based on numerical simulations, revealing a linear correlation. Subsequently, nonlinear distribution relationships for the mobilized soil internal friction angle and wall–soil interface friction angle with wall-top displacement are derived. Building upon this foundation and considering the failure mechanism of backfill soil under RB displacement, the soil mass is divided into inclined slices. A pseudo-static analytical framework is proposed to calculate both the magnitude and application point of non-limited seismic earth pressure for rigid walls under RB displacement. Validation against experimental data from referenced studies demonstrates the method’s rationality. Earth pressure transitions from an initially concave triangular distribution to a linear pattern as displacement progresses. The application point descends from the initial at-rest position (1/3 <i>H</i>) with increasing wall-top displacement, subsequently rising as the soil approaches full active limit states, ultimately stabilizing at 1/3 <i>H</i> under linear pressure distribution. The parameter sensitivity analysis section summarizes that the horizontal seismic coefficient dominates influencing factors, followed by wall displacement, while soil internal friction angle and soil–wall interface friction angle exhibit relatively minor effects. These findings provide critical insights for optimizing seismic design methodologies of retaining structures.
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spelling doaj-art-09848eecfade4ae7861d96caeba3dc622025-08-20T03:14:24ZengMDPI AGApplied Sciences2076-34172025-04-01158420210.3390/app15084202Seismic Non-Limited Active Earth Pressure Analysis of Retaining Walls Under Rotation-About-the-Base ModeZhiliang Sun0Wei Wang1Anhui Provincial Key Laboratory of Building Earthquake Disaster Mitigation and Green Operations, Anhui Institute of Building Research & Design, Hefei 230031, ChinaAnhui Provincial Key Laboratory of Building Earthquake Disaster Mitigation and Green Operations, Anhui Institute of Building Research & Design, Hefei 230031, ChinaUnder seismic loading conditions, the backfill soil behind retaining walls does not fully reach the limit state, while seismic earth pressure is influenced by wall displacement. The RB (rotation about the base) displacement pattern represents a prevalent deformation mode in retaining walls during operational service. To calculate the seismic non-limited active earth pressure under RB mode, this study first establishes the relationship between critical horizontal displacement (corresponding to a fully mobilized wall–soil interface friction angle) and depth based on numerical simulations, revealing a linear correlation. Subsequently, nonlinear distribution relationships for the mobilized soil internal friction angle and wall–soil interface friction angle with wall-top displacement are derived. Building upon this foundation and considering the failure mechanism of backfill soil under RB displacement, the soil mass is divided into inclined slices. A pseudo-static analytical framework is proposed to calculate both the magnitude and application point of non-limited seismic earth pressure for rigid walls under RB displacement. Validation against experimental data from referenced studies demonstrates the method’s rationality. Earth pressure transitions from an initially concave triangular distribution to a linear pattern as displacement progresses. The application point descends from the initial at-rest position (1/3 <i>H</i>) with increasing wall-top displacement, subsequently rising as the soil approaches full active limit states, ultimately stabilizing at 1/3 <i>H</i> under linear pressure distribution. The parameter sensitivity analysis section summarizes that the horizontal seismic coefficient dominates influencing factors, followed by wall displacement, while soil internal friction angle and soil–wall interface friction angle exhibit relatively minor effects. These findings provide critical insights for optimizing seismic design methodologies of retaining structures.https://www.mdpi.com/2076-3417/15/8/4202retaining wallrotational movement about the basenon-limit active earth pressure stateearthquakemobilized friction angle
spellingShingle Zhiliang Sun
Wei Wang
Seismic Non-Limited Active Earth Pressure Analysis of Retaining Walls Under Rotation-About-the-Base Mode
Applied Sciences
retaining wall
rotational movement about the base
non-limit active earth pressure state
earthquake
mobilized friction angle
title Seismic Non-Limited Active Earth Pressure Analysis of Retaining Walls Under Rotation-About-the-Base Mode
title_full Seismic Non-Limited Active Earth Pressure Analysis of Retaining Walls Under Rotation-About-the-Base Mode
title_fullStr Seismic Non-Limited Active Earth Pressure Analysis of Retaining Walls Under Rotation-About-the-Base Mode
title_full_unstemmed Seismic Non-Limited Active Earth Pressure Analysis of Retaining Walls Under Rotation-About-the-Base Mode
title_short Seismic Non-Limited Active Earth Pressure Analysis of Retaining Walls Under Rotation-About-the-Base Mode
title_sort seismic non limited active earth pressure analysis of retaining walls under rotation about the base mode
topic retaining wall
rotational movement about the base
non-limit active earth pressure state
earthquake
mobilized friction angle
url https://www.mdpi.com/2076-3417/15/8/4202
work_keys_str_mv AT zhiliangsun seismicnonlimitedactiveearthpressureanalysisofretainingwallsunderrotationaboutthebasemode
AT weiwang seismicnonlimitedactiveearthpressureanalysisofretainingwallsunderrotationaboutthebasemode