岩土力学 ›› 2025, Vol. 46 ›› Issue (9): 2816-2824.doi: 10.16285/j.rsm.2025.0251CSTR: 32223.14.j.rsm.2025.0251

• 基础理论与实验研究 • 上一篇    下一篇

考虑饱和度影响的结构性黄土弹塑性本构模型

张淼1,李林1,郑瀚波1, 2,李盼盼2   

  1. 1. 长安大学 公路学院,陕西 西安 710064;2. 同济大学 土木工程学院,上海 200092
  • 收稿日期:2025-03-10 接受日期:2025-06-12 出版日期:2025-09-10 发布日期:2025-09-04
  • 通讯作者: 郑瀚波,男,1997年生,博士,主要从事岩土数值计算和本构模型开发方面的研究工作。E-mail: zhenghanbo_tju@tongji.edu.cn
  • 作者简介:张淼,女,2001年生,硕士,主要从事岩土基本力学性质与本构模型方面的研究工作。E-mail: zhangmiao@chd.edu.cn
  • 基金资助:
    国家自然科学基金(No.52108297);中国博士后基金面上项目(No.2021M692742);中国博士后基金特别资助项目(No.2023T160560);陕西省秦创原引用高层次创新创业人才项目(No.QCYRCXM-2022-29);中央高校基本科研业务费资助项目(No.300102212301,No.300102214303)。

Elastoplastic model of structural loess considering influence of saturation

ZHANG Miao1, LI Lin1, ZHENG Han-bo1, 2, LI Pan-pan2   

  1. 1. School of Highway, Chang’an University, Xi’an, Shaanxi 710064, China; 2. College of Civil Engineering, Tongji University, Shanghai 200092, China
  • Received:2025-03-10 Accepted:2025-06-12 Online:2025-09-10 Published:2025-09-04
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52108297), the Postdoctoral Research Foundation of China (2021M692742), the Special Support Project of the China Postdoctoral Science Foundation (2023T160560), the Qin-Chuang-Yuan Imported High-level Innovation and Entrepreneurship Talent Project (OCYRCXM-2022-29) and the Fundamental Research Funds for the Central Universities (300102212301, 300102214303).

摘要: 黄土由于特殊的成分和组构具有结构性和水敏性,其屈服应力、强度及变形等力学特性与饱和度和结构性紧密相关。考虑饱和度对黄土结构性强度的影响,引入与屈服应力、摩擦强度和黏聚力强度的结构性参数,建立了结构性参数与初始饱和度的函数关系,并根据剪切变形过程中黄土结构性退化特征,建立了结构性参数随塑性变形的演化方程。在此基础上,参考剑桥模型建立了结构性黄土的屈服函数,以屈服应力和结构性参数为硬化参数,采用相关联流动法则提出了考虑饱和度和结构性演化的黄土弹塑性本构模型,推导了模型的弹塑性本构矩阵。通过既有陕西省铜川市董家河镇Q3原状黄土的三轴固结排水试验数据,对不同围压以及不同饱和度下的应力−应变曲线进行了预测,验证了模型的合理性。结果表明,在低饱和度状态下,黄土具有较高的结构性强度,土体屈服后其强度衰减明显,表现出明显的应变软化特性。随着土体饱和度的增加,土体的结构性强度降低,对应屈服应力减小,土体的应力−应变曲线趋于平缓,表现出更多的塑性变形,软化特征逐渐不明显。模型合理考虑了黄土结构性与初始饱和度的关系,能够较好描述黄土在不同饱和度条件下的力学行为,并且能够反映黄土应变软化特征随饱和度的变化规律。

关键词: 非饱和黄土, 初始饱和度, 结构性, 软化特性, 弹塑性模型

Abstract: Due to its unique composition and fabric characteristics, loess exhibits structural and hydrological sensitivity, with its mechanical properties, including yield stress, shear strength, and deformation characteristics, being closely related to saturation and structural integrity. Considering the influence of saturation on the structural strength of loess, structural parameters such as yield stress, friction strength, and cohesion strength are introduced, and a functional relationship between these parameters and initial saturation was established. An evolution equation for structural parameters during plastic deformation was derived based on the structural degradation characteristics observed in shear deformation of loess. On this basis, the yield function for structural loess was developed by drawing inspiration from the Cambridge model. By taking yield stress and structural parameters as hardening parameters, an elastoplastic constitutive model for loess, accounting for saturation and structural evolution, was proposed using the associated flow rule, and the corresponding constitutive matrix was derived. Based on triaxial consolidation drainage test data for undisturbed Q3 loess from Dongjiahe Town, Tongchuan City, Shaanxi Province, stress-strain curves under varying confining pressures and saturations were predicted, and the model’s rationality was verified. The results indicate that under low saturation conditions, loess exhibits high structural strength, which decreases significantly after yielding, accompanied by pronounced strain softening characteristics. As soil saturation increases, structural strength and corresponding yield stress decrease, with stress-strain curves becoming less steep, indicating increased plastic deformation and progressively less pronounced softening characteristics. The model effectively captures the relationship between loess structure and initial saturation, enabling a more accurate description of mechanical behavior under varying saturation conditions and reflecting how strain softening characteristics vary with saturation.

Key words: unsaturated loess, initial saturation, structural, softening characteristics, elastic-plastic model

中图分类号: TU432
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