岩土力学 ›› 2026, Vol. 47 ›› Issue (3): 929-938.doi: 10.16285/j.rsm.2025.0253CSTR: 32223.14.j.rsm.2025.0253

• 基础理论与实验研究 • 上一篇    下一篇

基于颗粒间应变的黏土小应变弹塑性本构模型及开挖响应分析

乔雅晴1, 2,时振昊1, 2,黄茂松1, 2,张中杰3,王浩然3   

  1. 1. 同济大学 地下建筑与工程系,上海 200092;2. 同济大学 岩土及地下工程教育部重点实验室,上海 200092; 3. 上海市城市建设设计研究总院(集团)有限公司,上海 200125
  • 收稿日期:2025-03-11 接受日期:2025-05-19 出版日期:2026-03-17 发布日期:2026-03-19
  • 通讯作者: 时振昊,男,1988年生,博士,副教授,主要从事土体基本特性及本构模型研究。E-mail: 1018tjzhenhao@tongji.edu.cn
  • 作者简介:乔雅晴,女,1995年生,博士研究生,主要从事基坑工程方面的研究。E-mail: qiaoyq@tongji.edu.cn
  • 基金资助:
    国家自然科学基金重点项目(No.51738010);上海市自然科学基金项目(No.22ZR1447000)

Intergranular-strain elastoplastic modeling of small-strain clay stiffness and deep excavation response

QIAO Ya-qing1, 2, SHI Zhen-hao1, 2, HUANG Mao-song1, 2, ZHANG Zhong-jie3, WANG Hao-ran3   

  1. 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of the Ministry of Education, Tongji University, Shanghai 200092, China; 3. Shanghai Urban Construction Design & Research Institute (Group) Co., Ltd., Shanghai 200125, China
  • Received:2025-03-11 Accepted:2025-05-19 Online:2026-03-17 Published:2026-03-19
  • Supported by:
    This work was supported by the State Key Program of National Natural Science of China (51738010) and the Natural Science Foundation of Shanghai (22ZR1447000).

摘要: 软黏土在非常小应变下具有高初始刚度,其刚度随应变增加非线性衰减,且衰减关系依赖于前期应力历史。上述黏土小应变刚度特性对地下开挖施工诱发环境变形具有重要影响。结合颗粒间应变(intergranular-strain,简称IGS)弹性模型和临界状态各向异性边界面模型,建立了考虑黏土小应变刚度特性的有效应力弹塑性本构模型。该模型通过IGS记忆土体变形历史,利用IGS与应变增量转角表征应力方向改变,并结合路径相关的刚度演化方程,实现了应力路径相关的小应变刚度演化模拟。研究进一步给出了IGS模型和Overlay模型(即广泛使用的HS-Small模型中小应变模型)的参数换算关系,开展了IGS与Overlay模型的对比分析。通过基坑开挖环境变形案例,开展了IGS模型针对边值问题的应用及验证。结果表明:(1)IGS模型可以合理反映前期应力历史对黏土小应变刚度的影响及开挖导致的地层变形;(2)当前期应力历史幅值较小时,IGS和Overlay模型均能较好地反映前期历史对小应变刚度衰减关系的影响;(3)随着前期应力历史幅值增大,Overlay模型可以低估与前期历史之间转角较小的应力路径下小应变刚度。

关键词: 软黏土, 小应变刚度, 地下工程开挖, 本构模型, 数值计算

Abstract: Soft clay has high initial stiffness at very small strain. Its stiffness decreases nonlinearly with increasing strain and the degradation relationship depends on previous stress history. The above small strain stiffness characteristics play an important role in surrounding ground deformation induced by underground excavation. Based on that, the intergranular strain (IGS) elastic model and the critical state anisotropic boundary surface model are combined to establish an effective stress elastoplastic model considering the small strain stiffness characteristics of clay. The proposed model can memorize soil deformation history through IGS and characterize stress direction change through variation in the angle between IGS and strain increment. It can also realize the stress path-dependent small strain stiffness evolution simulation through path-dependent stiffness evolution equation. This work further proposes the convert method between the parameters of the IGS model and those of the Overlay model (i.e., the small-strain module of the widely used HS-Small model), while perform a comparative analysis between the two models. The IGS model is applied and examined by analyzing boundary value problem of deep excavation case studies. The results show that (1) the IGS model can reasonably reflect the influence of previous stress history on the small strain stiffness of clay and the ground deformation induced by excavation. (2) When the previous stress history amplitude is small, both IGS and Overlay models can effectively reflect the effects of previous history on the degradation relationship of small strain stiffness. (3) With the previous stress history amplitude increasing, Overlay model could underestimate the small strain stiffness under the stress path with a small angle from the previous path.

Key words: soft clay, small strain stiffness, excavation, constitutive relations, numerical simulation

中图分类号: TU443
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