岩土力学 ›› 2026, Vol. 47 ›› Issue (8): 2665-2675.doi: 10.16285/j.rsm.2025.0881CSTR: 32223.14.j.rsm.2025.0881

• 基础理论与实验研究 • 上一篇    下一篇

考虑结构性演化的非饱和黄土水-力耦合弹塑性本构模型

李林,张淼,李尧,段智博   

  1. 长安大学 公路学院,陕西 西安 710064
  • 收稿日期:2025-10-08 接受日期:2025-11-27 出版日期:2026-08-11 发布日期:2026-08-17
  • 通讯作者: 段智博,男,1993年生,博士,讲师,主要从事地下工程方面的研究工作。E-mail:duanzhibo_1993@163.com
  • 作者简介:李林,男,1986年生,博士,副教授,主要从事交通岩土工程方面的研究工作。E-mail:lilin_sanmao@163.com
  • 基金资助:
    国家自然科学基金(No. 52578385,No. 52508429);中国博士后基金特别资助项目(No. 2023T160560);中央高校基本科研业务费资助项目(No. 300102215101);省部共建特色金属材料与组合结构全寿命安全国家重点实验室开放课题(No. MMCS2023OF03)。

Hydro-mechanical coupling elastoplastic constitutive model of unsaturated loess considering structural evolution

LI Lin, ZHANG Miao, LI Yao, DUAN Zhi-bo   

  1. School of Highway, Chang’an University, Xi’an, Shaanxi 710064, China
  • Received:2025-10-08 Accepted:2025-11-27 Online:2026-08-11 Published:2026-08-17
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52578385, 52508429), the Special Support Project of the China Postdoctoral Science Foundation (2023T160560), the Fundamental Research Funds for the Central Universities (300102215101) and the Open Foundation of State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures (MMCS2023OF03).

摘要: 黄土具有显著的大孔隙、水敏性和结构性等特殊性质,其力学行为受饱和度影响显著。围绕结构性黄土水-力耦合弹塑性行为的本构表征,以Bishop有效应力和饱和度为模型直接驱动变量,与之对应的土骨架应变和吸力作为共轭变量,考虑结构性随饱和度的变化,引入饱和度相关的屈服应力结构性参数与摩擦强度结构性参数,建立了结构性参数随塑性应变与饱和度的演化方程。以重塑饱和黄土屈服方程为基准,根据饱和度与屈服应力的关系在有效应力-饱和度空间构建了非饱和结构性黄土的LC(loading-collapse)屈服方程,采用体应变相关的土-水特征曲线描述黄土的水力行为,通过体应变与其力学行为相耦合,建立了非饱和黄土的水-力耦合弹塑性本构模型。模型共有14个参数,可通过常规非饱和三轴试验与等向固结试验标定。通过预测常吸力和常含水率条件下黄土压缩试验和剪切试验结果,与既有试验结果对比验证了模型的有效性。结果表明,模型可以较好地反映不同饱和度黄土的屈服强度,能够预测低围压条件下非饱和黄土的应变软化行为,合理描述了非饱和结构性黄土的水-力耦合行为,为黄土工程的变形与稳定性分析提供了基础理论支撑。

关键词: 非饱和黄土, 结构性参数, 水-力耦合, 软化行为, 结构性演化

Abstract: Loess exhibits distinctive properties, including notable macroporosity, water sensitivity, and structural characteristics, with its mechanical behavior being significantly affected by saturation levels. This study focuses on the constitutive modeling of the coupled hydro-mechanical elastoplastic behavior in structured loess, employing Bishop's effective stress and saturation as the primary driving variables within the model framework, while considering the corresponding soil skeleton strain and suction as conjugate variables. Accounting for the variation in structural properties with saturation, we introduce saturation-dependent yield stress structural parameters and frictional strength structural parameters, and formulate an evolution equation for these structural parameters in relation to plastic strain and saturation. Utilizing the yield equation for remolded saturated loess as a foundation, we construct the LC (loading-collapse) yield equation for unsaturated structured loess within the effective stress-saturation space, based on the correlation between saturation and yield stress. A volumetric strain-dependent soil-water characteristic curve is adopted to delineate the hydraulic behavior of loess. By integrating volumetric strain with its mechanical response, we establish a coupled hydro-mechanical elastoplastic constitutive model for unsaturated loess. The model encompasses 14 parameters, which can be calibrated through standard unsaturated triaxial tests and isotropic consolidation tests. The model's validity is confirmed by predicting the outcomes of compression and shear tests on loess under conditions of constant suction and constant moisture content, and comparing these predictions with established experimental data. The findings demonstrate that the model accurately captures the yield strength of loess across varying saturation levels, forecasts the strain softening behavior of unsaturated loess under low confining pressures, and adequately describes the coupled hydro-mechanical behavior of structured loess, thereby offering essential theoretical underpinnings for deformation and stability analyses in loess engineering.

Key words: unsaturated loess, structural parameter, hydro-mechanical coupling, softening characteristics, structural evolution

中图分类号: TU 444
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