天然软黏土主应力轴循环旋转塑性效应的本构模拟

杜子博; 钱建固; 郭院成; 黄茂松

doi:10.11779/CJGE202208014

天然软黏土主应力轴循环旋转塑性效应的本构模拟 English Version

杜子博^1,,
钱建固^{2, 3, ,},
郭院成¹,
黄茂松^{2, 3}

1.
郑州大学土木工程学院, 河南郑州 450001
2.
同济大学地下建筑与工程系, 上海 200092
3.
同济大学岩土及地下工程教育部重点实验室, 上海 200092

基金项目:

国家自然科学基金项目 51908513

国家自然科学基金项目 52178345

河南省重点研发与推广专项项目 212102310279

河南省博士后科研项目 202001017

详细信息

作者简介:
杜子博(1989—)，男，博士，副教授，主要从事土力学与本构理论等方面的研究工作。E-mail: duzibo@zzu.edu.cn

通讯作者:
钱建固, E-mail: qianjiangu@tongji.edu.cn

中图分类号: TU435
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出版历程
- 收稿日期: 2021-09-13
- 网络出版日期: 2022-09-22
- 刊出日期: 2022-07-31

Constitutive modeling of plastic effects of cyclic principal stress rotation of natural soft clay

1.
School of Civil Engineering, Zhengzhou University, Zhengzhou 450001, China
2.
Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China
3.
Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China

摘要

摘要: 在考虑各向异性边界面模型的基础上，建立了可反映天然软黏土主应力轴循环旋转塑性效应的本构模型。对于主应力轴循环旋转卸载条件，通过引入可移动映射法则，处理这种卸载情况下的塑性变形。通过考虑固有各向异性弹性，描述主应力轴循环旋转下循环波动的塑性累积行为。同时，通过考虑应力比影响并将非共轴流动和共轴流动耦合起来，模拟循环过程中非共轴性变化。对温州天然软黏土在纯主应力轴循环旋转下的不排水行为进行了模拟，结果表明，所建立的边界面模型可有效模拟天然软黏土主应力轴循环旋转下塑性效应。
- 天然软黏土 /
- 主应力轴旋转 /
- 非共轴 /
- 各向异性弹性 /
- 边界面模型
Abstract: A constitutive model which can reflect the plastic effects of the principal stress rotation of natural soft clay is proposed based on the anisotropic bounding surface model. For the unloading conditions of the cyclic principal stress rotation, the mapping rules of relocatable projection center is incorporated to deal with the plastic deformation under these unloading conditions. The plastic accumulation behavior with a cyclic fluctuation pattern is described reasonably by incorporating the inherent anisotropic elasticity. Meanwhile, the non-coaxiality variation during cyclic rotation is simulated by considering the influences of stress ratio and coupling the non-coaxial flow with coaxial flow. The proposed model is validated through the undrained behaviors tests under the pure principal stress rotation of Wenzhou natural soft clay. The results show that the proposed bounding surface model can reasonably capture the deformation effects of the cyclic principal stress rotation of natural soft clay.
- natural soft clay /
- principal stress rotation /
- non-coaxiality /
- anisotropic elasticity /
- bounding surface model

HTML全文

图 1 各向异性边界面

Figure 1. Anisotropic bounding surface

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图 2 偏平面τ_zθ–(σ_z-σ_θ)/2上纯主应力旋转应力路径

Figure 2. Stress path of pure principal stress rotation in τ_zθ–(σ_z-σ_θ)/2 space

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图 3 偏平面τ_zθ–(σ_z-σ_θ)/2上加载映射法则

Figure 3. Mapping rule in τ_zθ–(σ_z-σ_θ)/2 space during general loading situation

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图 4 映射中心移动机制

Figure 4. Relocatable mechanism of projection center

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图 5 纯主应力轴循环旋转孔隙水压累积中呈现的各向异性弹性

Figure 5. Anisotropic elasticity in accumulation of excess pore pressure with cycles of pure principal stress rotation

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图 6 孔隙水压累积试验与模拟

Figure 6. Tests and simulation of accumulation of pore water pressure

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图 7 应变分量变化规律试验与模拟

Figure 7. Tests and simulation of variation of strain components

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图 8 剪切应力应变关系试验与模拟

Figure 8. Tests and simulation of shear stress strain relationship

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图 9 非共轴特性试验与模拟(N=3)

Figure 9. Tests and simulation of noncoaxial behavior (N=3)

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图 10 非共轴角试验与模拟

Figure 10. Tests and simulation of noncoaxial angle

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表 1 模型参数

Table 1 Model parameters

临界状态参数	形状参数	硬化参数	非共轴参数	各向异性弹性参数	边界面插值参数
$\lambda$ =0.36 $\kappa$ =0.04 ${M_{\text{e}}}$ =0.81 ${M_{\text{c}}}$ =1.11 $\nu$ =0.2	R=3.2	$\mu$ =60 $\beta$ =0.7	$\gamma$ =0.5 ${k_{\text{n}}}$ =50	n=1.1	$\zeta$ =40.0 ${\psi _0}$ =12.0 $\xi$ =6.0

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