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砂黏统一本构模型的一种简单广义化方法

崔凯 王孝文 贾政鹏 吴博涵 袁冉

崔凯, 王孝文, 贾政鹏, 吴博涵, 袁冉. 砂黏统一本构模型的一种简单广义化方法[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20240135
引用本文: 崔凯, 王孝文, 贾政鹏, 吴博涵, 袁冉. 砂黏统一本构模型的一种简单广义化方法[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20240135
CUI Kai, WANG Xiaowen, JIA Zhengpeng, WU Bohan, YUAN Ran. A Simple Generalized Method for Unified Constitutive Model of Clay and Sand[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20240135
Citation: CUI Kai, WANG Xiaowen, JIA Zhengpeng, WU Bohan, YUAN Ran. A Simple Generalized Method for Unified Constitutive Model of Clay and Sand[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20240135

砂黏统一本构模型的一种简单广义化方法

doi: 10.3969/j.issn.0258-2724.20240135
基金项目: 国家自然科学基金项目(52278413, 42177128, 42077236, 42011530170)
详细信息
    作者简介:

    崔凯(1979—),男,教授,博士生导师,研究方向为岩土工程,E-mail:cuikai@swjtu.cn

    通讯作者:

    袁冉(1987—),女,副教授,博士生导师,研究方向为岩土工程、地下工程,E-mail:yuanran@swjtu.edu.cn

  • 中图分类号: TU43

A Simple Generalized Method for Unified Constitutive Model of Clay and Sand

  • 摘要:

    为统一描述砂土和黏土在广义应力路径下的力学响应,在具有状态参数的砂黏统一本构模型CASM的基础上,结合次加载面理论和变换应力法,提出一种适用于广义加载条件的统一临界状态本构模型(CASM-SG模型). 该模型基于原始CASM模型,结合次加载面概念建立一种与土体初始状态相关的塑性内变量,并利用变换应力法成功将原先由三轴压缩实验确定的二维屈服包面拓展到三维应力空间;构建广义应力条件下CASM-SG模型的应力剪胀关系和硬化准则等完整本构框架,并基于一致性条件推导出其塑性模量与弹塑性刚度矩阵的显式表达式;采用新提出的模型对Hostun砂土和Fujinomori黏土在排水与不排水三轴压缩及拉伸条件下的力学行为进行模拟. 模拟结果显示:CASM-SG模型能够较为准确地捕捉砂土和黏土在不同应力路径下的力学行为;对于Fujinomori黏土,三轴拉伸强度相对三轴压缩强度降低了24%左右,CASM-SG模型能够精确捕捉这一特征;相比原始CASM模型,该模型仅增加了2个具备明确物理意义的材料参数,但体现出良好的精度与简洁性兼顾的建模优势.

     

  • 图 1  状态参数,参考状态参数在e-ln p空间中的示意[18]

    Figure 1.  State and reference state parameters in e-ln p space

    图 2  CASM-S模型次加载面和屈服面示意

    Figure 2.  Subloading and yield surfaces of CASM-S model

    图 3  CASM模型和CASM-SG模型在广义应力空间中的屈服面 (r = 50, n = 2, M = 1.2)

    Figure 3.  Yield curves of CASM and CASM-SG models in generalized stress space (r = 50, n = 2, M = 1.2)

    图 4  Hostun砂土在不排水TC/TE条件下的有效应力路径

    Figure 4.  Effective stress paths of Hostun sand under undrained TC/TE conditions

    图 5  Hostun砂土在不排水TC/TE条件下的应力-应变关系

    Figure 5.  Stress–strain relationship of Hostun sand under undrained TC/TE conditions

    图 6  正常和超固结Fujinomori黏土在排水TC条件下的应力-应变及体变-应变曲线

    Figure 6.  Stress–strain and volumetric strain–strain curves of normally and over-consolidated Fujinomori clay under drained TC conditions

    图 7  正常固结Fujinomori黏土在排水TE条件下的应力-应变及体变-应变曲线(Δp = 0)

    Figure 7.  Stress–strain and volumetric strain–strain curves of normally consolidated Fujinomori clay under drained TE conditions (Δp = 0)

    表  1  CASM-SG模型材料参数

    Table  1.   Material parameters of CASM-SG model

    材料参数Hostun砂土[36]Fujinomori黏土[37]
    $\lambda $0.030.09
    $\kappa $0.0030.02
    $M$1.251.36
    ${e_\Gamma }$1.1651.173
    $\mu $0.30.3
    $r$15.52.718
    $n$2.52
    $u$0.125
    ${d_0}$0.61
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  • 收稿日期:  2024-03-18
  • 修回日期:  2024-07-08
  • 网络出版日期:  2025-05-20

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