珊瑚砂动剪切模量预测的应变-损伤状态耦合模型

梁珂; 陈国兴; 王彦臻; 秦悠

doi:10.11779/CJGE201910010

珊瑚砂动剪切模量预测的应变-损伤状态耦合模型 English Version

梁珂¹,
陈国兴^1,2, ,,
王彦臻¹,
秦悠¹

1. 南京工业大学岩土工程研究所,江苏南京 210009;
2. 江苏省土木工程防震技术研究中心,江苏南京 210009

基金项目: 国家自然科学基金项目（51678299）; 国家重点研发计划项目（2017YFC1500403）; 江苏省研究生科研计划项目（KYCX18_1057）

详细信息

作者简介:
梁珂(1991—),男,博士研究生,主要从事珊瑚砂动力特性研究。E-mail:liangk91@163.com。

通讯作者:
陈国兴，E-mail：gxc6307@163.com

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- 文章访问数: 256
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出版历程
- 收稿日期: 2018-12-02
- 发布日期: 2019-10-24

Coupled shear strain-damage state model for prediction of shear modulus of coral sand

1. Institute of Geotechnical Engineering, Nanjing Tech University, Nanjing 210009, China;
2. Civil Engineering and Earthquake Disaster Prevention Center of Jiangsu Province, Nanjing 210009, China

摘要

摘要: 对南海饱和珊瑚砂进行了4类不同加载模式的不排水动三轴试验,研究了不同相对密度D_r和平均有效围压 $\sigma_{0}^{'}$ 下加载第一周的动剪切模量比G_1st/G₀与剪应变幅值 $\gamma_{a}$ 的关系,G_1st/G₀受D_r的影响很小,随 $\sigma_{0}^{'}$ 的增大而增大。由于分级加载过程中土体结构与相对密度发生改变,在 $\gamma_{a}$ > 3×10^-4时,应变控制的分级循环加载获得的G_1st/G₀- $\gamma_{a}$ 曲线位于等应变幅值循环加载获得的G_1st/G₀- $\gamma_{a}$ 曲线的上方。结合两类试验结果,给出了饱和珊瑚砂的G_1st/G₀- $\gamma_{a}$ 模型。基于弹性应变能理论,提出了可以描述土体损伤状态的状态参数P_d（damage parameter）,探究了不同加载模式下动剪切模量比G/G₀随土体损伤状态参数P_d的发展规律。在双对数坐标中,同一应变幅值下的(1-G/G₀)-P_d可用直线表示,其斜率与应变幅值 $\gamma_{a}$ 和历史加载过程中的最大应变幅值 $\gamma_{a.max}$ 有关。结合G_1st/G₀- $\gamma_{a}$ 和G/G₀-P_d关系,给出了可以同时反映应变幅值和破坏状态影响的珊瑚砂动剪切模量预测模型。
- 珊瑚砂 /
- 动剪切模量 /
- 弹性应变能 /
- 损伤状态 /
- 动三轴试验
Abstract: Four series of cyclic triaxial tests with different loading forms are conducted on saturated coral sand from Nansha Islands. The relationships between shear modulus ratio G_1st/G₀ of the first loading cycle and shear strain amplitude $\gamma_{a}$ under different relative densities D_r and effective confining pressures $\sigma_{0}^{'}$ are studied. D_r shows no influence on G_1st/G₀, and G_1st/G₀ increases with the increasing $\sigma_{0}^{'}$ . When γ_a is larger than 3×10^-4, the G_1st/G₀ - $\gamma_{a}$ curves obtained from the strain-controlled multistage loading tests (UMγ-CTX) are higher than those obtained from strain-controlled single-stage loading tests (USγ-CTX) because of the change of the soil structure and the relative density during the reconsolidation process of UMγ-CTX. A new damage parameter P_d is proposed based on the elastic strain energy theory, and the relationships between shear modulus ratio G/G₀ and damage parameter P_d under different loading forms are studied. The (1-G/G₀) - P_d curves are almost linear in the log-log coordinate, and the slopes are dependent on the shear strain amplitude $\gamma_{a}$ and the maximum shear strain amplitude $\gamma_{a.max}$ . Based on the G_1st/G₀ - $\gamma_{a}$ and G/G₀ - P_d relationships, a new G/G₀ prediction model is proposed to predict the shear modulus of coral sand considering the effect of coupled shear strain amplitude and damage state.
- coral sand /
- dynamic shear modulus /
- elastic strain energy /
- damage state /
- cyclic triaxial test

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参考文献(19)

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