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不同主应力方向下各向异性砂土力学响应的本构模型模拟

余嘉轲, 王睿, 张建民

余嘉轲, 王睿, 张建民. 不同主应力方向下各向异性砂土力学响应的本构模型模拟[J]. 岩土工程学报, 2024, 46(3): 670-677. DOI: 10.11779/CJGE20221454
引用本文: 余嘉轲, 王睿, 张建民. 不同主应力方向下各向异性砂土力学响应的本构模型模拟[J]. 岩土工程学报, 2024, 46(3): 670-677. DOI: 10.11779/CJGE20221454
YU Jiake, WANG Rui, ZHANG Jianmin. Constitutive model simulation for mechanical response of anisotropic sand under different principal stress directions[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(3): 670-677. DOI: 10.11779/CJGE20221454
Citation: YU Jiake, WANG Rui, ZHANG Jianmin. Constitutive model simulation for mechanical response of anisotropic sand under different principal stress directions[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(3): 670-677. DOI: 10.11779/CJGE20221454

不同主应力方向下各向异性砂土力学响应的本构模型模拟  English Version

基金项目: 

国家自然科学基金项目 52022046

北京市自然科学基金项目 J210003

详细信息
    作者简介:

    余嘉轲(1996—),男,博士研究生,主要从事土的本构模型与工程抗震研究。E-mail: yjk19@mails.tsinghua.edu.cn

    通讯作者:

    王睿, E-mail: wangrui_05@mail.tsinghua.edu.cn

  • 中图分类号: TU435

Constitutive model simulation for mechanical response of anisotropic sand under different principal stress directions

  • 摘要: 地下水位上升可能引发饱和松散土体边坡有效球应力降低从而诱发稳定性问题。等剪应力排水路径能够模拟饱和砂土边坡内土体单元在潜水面上升时的应力条件,但目前各向异性对于这种应力路径下土的响应的影响仍不明确。采用一个各向异性砂土弹塑性本构模型对不同主应力方向下的定轴等剪应力排水试验进行模拟,分析各向异性影响规律。该本构模型考虑了组构各向异性的演化及其对塑性模量和剪胀的影响,能够反映不同主应力方向对土体力学响应的影响。模拟结果表明,该模型能够较好地模拟不同主应力方向下饱和砂土在定轴不排水剪切和定轴等剪应力不排水条件下的响应。对于定轴等剪应力不排水应力路径,非稳定态时的平均有效应力随孔隙比和加载角度的增加而增加,不同初始组构强度对于等剪应力排水试验的结果有显著的影响。
    Abstract: Rising ground water level reduces the mean effective stress within ground soil and may cause stability problems for the slopes in saturated loose sand. The constant shear drained (CSD) stress path represents the stress conditions with rising phreatic surface, yet the influences of anisotropy on soil response under such stress path are still unclear. In this study, the anisotropic CycLiq model is used to simulate the CSD stress tests under different principal stress directions. Based on the original CycLiq model, the model considers the evolution of fabric anisotropy and its influences on plastic modulus and dilatancy, and can simulate the influences of different principal stress directions. The simulated results achieve good agreement with the test results for undrained shear and CSD loading under different intermediate stress coefficients and principal stress directions. For the CSD tests, the mean effective stress in instability state is observed to increase with the increasing void ratio and loading angle. The initial fabric norm is shown to have significant influences on the stress ratio at the instability state in the CSD tests.
  • 图  1   模型参数np的标定方法演示

    Figure  1.   Calibration method for model parameter np

    图  2   不同中主应力系数与主应力方向下湿装夯实法试样定轴不排水试验结果与模拟

    Figure  2.   Undrained torsional shear hollow cylinder tests and simulated results at different α and b of moist tamped loose sand

    图  3   不同中主应力系数与主应力方向下干砂雨法试样定轴不排水试验结果与模拟

    Figure  3.   Undrained torsional shear hollow cylinder tests and simulated results at different α and b of dry pluviated loose sand

    图  4   不同中主应力系数与主应力方向下湿装夯实法试样定轴等剪应力排水试验结果与模拟

    Figure  4.   Constant shear drained tests and simulated results at different α and b of moist tamped loose sand

    图  5   不同主应力方向下干砂雨法试样定轴等剪应力排水试验结果与模拟

    Figure  5.   Constant shear drained tests and simulated results at different α and b of dry pluviated loose sand

    图  6   不同中主应力系数、主应力方向下定轴等剪应力排水试验中非稳定态试验与模拟结果及各自的趋势线

    Figure  6.   Instability states of constant shear drained tests and simulations at different α and b

    图  7   初始组构强度对定轴等剪应力排水试验非稳定态e-p关系的影响

    Figure  7.   Effects of initial fabric norm on instability state of constant shear drained loading at different α and b

    表  1   各向异性CycLiq模型参数

    Table  1   Model parameters of anisotropic CycLiq model

    Go κ h dre, 1 dre, 2 dir α γd, r np nd M λe Γ Δ1 Δ2 c
    100 0.008 4.0 0.7 30 0.3 30 0.05 12 2 1.2 0.008 0.761 1.35 0.8 5
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  • 收稿日期:  2022-11-23
  • 网络出版日期:  2023-05-23
  • 刊出日期:  2024-02-29

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