<p>Frozen soil is a common foundation material in cold region engineering. Therefore, the control and prediction of cumulative plastic strain for frozen soil materials are essential for the construction and long-term stability of actual foundation engineering under complex dynamic loadings. To investigate the influence of complex cyclic stress paths on frozen soil, a series of complex cyclic stress paths were conducted using the frozen hollow cylinder apparatus (FHCA-300). These cyclic stress paths included the triaxial cyclic stress path (TCSP), directional cyclic stress path (DCSP), circular-shaped cyclic stress path (CCSP), elliptical-shaped cyclic stress path (ECSP), and heart-shaped cyclic stress path (HCSP). The results indicated that the cumulative plastic strain under the five cyclic stress paths at three temperatures (− 1.5, − 6, and − 15 °C) can be ranked as follows: DCSP > ECSP > HCSP > CCSP > TCSP. The cyclic stress paths are quantified based on the combined effects of the maximum shear stress (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11440_2025_2531_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">$q_{\max }$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>q</mi> <mo movablelimits="true">max</mo> </msub> </math></EquationSource> </InlineEquation>) and the principal stress axis angle (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11440_2025_2531_Article_IEq2.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">$\alpha$</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>). A developed model predicting cumulative plastic strain, considering complex cyclic stress paths, is introduced and demonstrates excellent predictive performance. The study's findings can offer insights into foundation engineering's deformation characteristics and settlement predictions under diverse complex dynamic loadings.</p>

Effect of complex cyclic stress path dependency on cumulative plastic strain for frozen soil: laboratory simulation and model prediction

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发表日期：

2025年1月16日

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Yapeng Wang,
Guoyu Li,
Dun Chen,
Wei Ma,
Zhiwei Zhou,
Yanhu Mu

摘要

Frozen soil is a common foundation material in cold region engineering. Therefore, the control and prediction of cumulative plastic strain for frozen soil materials are essential for the construction and long-term stability of actual foundation engineering under complex dynamic loadings. To investigate the influence of complex cyclic stress paths on frozen soil, a series of complex cyclic stress paths were conducted using the frozen hollow cylinder apparatus (FHCA-300). These cyclic stress paths included the triaxial cyclic stress path (TCSP), directional cyclic stress path (DCSP), circular-shaped cyclic stress path (CCSP), elliptical-shaped cyclic stress path (ECSP), and heart-shaped cyclic stress path (HCSP). The results indicated that the cumulative plastic strain under the five cyclic stress paths at three temperatures (− 1.5, − 6, and − 15 °C) can be ranked as follows: DCSP > ECSP > HCSP > CCSP > TCSP. The cyclic stress paths are quantified based on the combined effects of the maximum shear stress ( $q_{\max }$ $q_{max}$ ) and the principal stress axis angle ( $\alpha$ $α$ ). A developed model predicting cumulative plastic strain, considering complex cyclic stress paths, is introduced and demonstrates excellent predictive performance. The study's findings can offer insights into foundation engineering's deformation characteristics and settlement predictions under diverse complex dynamic loadings.