细粒含量对饱和珊瑚砂动力变形特性影响试验研究

吴琪; 杨铮涛; 刘抗; 陈国兴

doi:10.11779/CJGE202208003

细粒含量对饱和珊瑚砂动力变形特性影响试验研究 English Version

吴琪^{1, 2,},
杨铮涛¹,
刘抗¹,
陈国兴^{1, 2, ,}

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 52008206

国家重点发展计划项目 2018YFC1504301

详细信息

作者简介:
吴琪(1991—)，男，博士，讲师，主要从事混合料动力特性试验研究。E-mail：qw09061801@163.com

通讯作者:
陈国兴，E-mail: gxc6307@163.com

中图分类号: TU435
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出版历程
- 收稿日期: 2021-09-18
- 网络出版日期: 2022-09-22
- 刊出日期: 2022-07-31

Experimental study on influences of fines content on dynamic deformation characteristics of saturated coral sand

WU Qi^{1, 2,},
YANG Zheng-tao¹,
LIU Kang¹,
CHEN Guo-xing^{1, 2, ,}

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: 为了满足南沙珊瑚岛礁及近岸军事与民事功能设施建设对珊瑚砂动力特性参数的急迫需要，系统而深入地研究珊瑚砂动力变形特性已是一项紧迫的科学任务。利用共振柱对取自南沙群岛某岛礁的珊瑚砂开展了系列动剪切模量和阻尼比特性试验研究，探究相对密度D_r、初始有效围压 ${\sigma '_{\text{m}}}$ 、细粒含量F_C对南沙珊瑚砂动力变形的影响。试验结果表明：反映 ${\sigma '_{\text{m}}}$ 对最大动剪切模量G_max影响程度的应力指数n是与土性相关的常数；结合文献中3类砂类土的G_max试验数据，发现随等效骨架孔隙比 $e_{{\text{sk}}}^{\text{*}}$ 的增大各砂类土的应力修正最大动剪切模量G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ单调减小，且两者呈现较好的幂函数关系；在同一应变水平下，珊瑚砂动剪切模量G随F_C的增大而减小，随D_r、 ${\sigma '_{\text{m}}}$ 的增大而增大；当剪应变 $\gamma$ < 10^-4时，F_C、D_r与 ${\sigma '_{\text{m}}}$ 对阻尼比影响不大，而 $\gamma$ > 10^-4时，F_C、D_r与 ${\sigma '_{\text{m}}}$ 对阻尼比影响显著；D_r与 ${\sigma '_{\text{m}}}$ 对动剪切模量比G/G_max影响不明显；而当0% ≤F_C ≤ 30%时，随F_C增大G/G_max - $\gamma$ 衰减曲线不断下降，给出了珊瑚砂Davidenkov模型拟合参数A、B的建议值，且发现参考剪应变 ${\gamma _0}$ 随F_C线性减小。
- 珊瑚砂 /
- 细粒含量 /
- 最大动剪切模量 /
- 动剪切模量比 /
- 阻尼比
Abstract: In order to meet the urgent need for the cyclic characteristic parameters of coral sand in the proper engineering analysis of both military and civilian function facilities located in Nansha reefs and offshore marine areas, it is an important and emergent scientific task to study the dynamic deformation characteristics of the coral sand of the Nansha Islands in China. A series of resonance column tests are carried out on the saturated coral sand specimens from Nansha Islands. The aim of the tests is to investigate the effects of relative density D_r, initial effective confining pressure ${\sigma '_{\text{m}}}$ and fines content F_C on the dynamic deformation characteristics of the specimens. The test results show that the stress exponent n, reflecting the rates of G_max increment due to the enhancement of ${\sigma '_{\text{m}}}$ , presents a soil-specific constant. Synthesising the test data here and from three saturated sandy soils in the literatures, it is found that the stress-corrected maximum shear modulus G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ decreases monotonically with the increase of the equivalent skeleton void ratio e, and a power relationship between G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ and $e_{{\text{sk}}}^{\text{*}}$ is then obtained. At the same strain level, the dynamic shear modulus G of the coral sand decreases with the increase of F_C, and increases with the increase of D_r and ${\sigma '_{\text{m}}}$ . F_C, D_r and ${\sigma '_{\text{m}}}$ have few effects on the damping ratio when the shear strain $\gamma$ < 10^-4, but have a significant effect on the damping ratio when $\gamma$ > 10^-4. D_r and ${\sigma '_{\text{m}}}$ have no obvious influences on the dynamic shear modulus ratio G/G_max. When 0% ≤ F_C ≤ 30%, the G/G_max- $\gamma$ attenuation curve continues to decline with the increase of F_C. The recommended values of fitting parametes A and B of the Davidenkov model for the coral sand are given, and it is found that the reference shear strain ${\gamma _0}$ decreases linearly with F_C.
- coral sand /
- fines content /
- maximum dynamic shear modulus /
- dynamic shear modulus ratio /
- damping ratio

HTML全文

图 1 珊瑚砂级配曲线

Figure 1. Grain-size distribution curves of coral sand

下载: 全尺寸图片幻灯片

图 2 不同F_C，D_r及 ${\sigma '_{\text{m}}}$ 下饱和珊瑚砂的G- $\gamma$ 曲线

Curves of G- $\gamma$ of saturated coral sand with different F_C, D_r and ${\sigma '_{\text{m}}}$

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图 3 饱和珊瑚砂G_max与 ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ 的关系曲线

Figure 3. Relartonship between G_max and ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ for saturated coral sand

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图 4 饱和珊瑚砂G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ与F_C的关系曲线

Figure 4. Relationship between G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ and F_C for saturated coral sand

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图 5 饱和珊瑚砂G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ与e的关系曲线

Figure 5. Relationship between G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ and e for saturated coral sand

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图 6 饱和珊瑚砂G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ与 $e_{{\text{sk}}}^*$ 的关系曲线

Figure 6. G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ versus e for saturated coral sand

下载: 全尺寸图片幻灯片

图 7 文献中所述三类砂土的G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ与 $e_{{\text{sk}}}^*$ 的关系曲线

Figure 7. G_max/( ${\sigma '_{\text{m}}}$ / ${p_{\text{a}}}$ )ⁿ versus e for three types of sand in literatures

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不同 ${\sigma '_{\text{m}}}$ 下饱和珊瑚砂G/G_max与 ${\sigma '_{\text{m}}}$ 的变化关系

Figure 8. Relationship between G/G_max, λ and γ of saturated coral sand with different ${\sigma '_{\text{m}}}$

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图 9 不同D_r下珊瑚砂G/G_max， $\lambda$ 和 $\gamma$ 的变化关系

Figure 9. Relationship between G/G_max, $\lambda$ and $\gamma$ of coral sand with different D_r

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图 10 不同F_C下珊瑚砂G/G_max与 $\lambda$ 随 $\gamma$ 的变化关系

Figure 10. Relationship between G/G_max, $\lambda$ and $\gamma$ of coral sand with different F_C

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图 11 珊瑚砂试样G/G_max- $\gamma$ 与 $\lambda$ - $\gamma$ 曲线

Figure 11. G/G_max- $\gamma$ and $\lambda$ - $\gamma$ curves of coral sand specimens

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图 12 不同D_r， ${\sigma '_{\text{m}}}$ 下饱和珊瑚砂F_C与A，B的关系

Figure 12. Relationship between F_C and A, B of saturated coral sand with different D_r and ${\sigma '_{\text{m}}}$

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图 13 不同D_r， ${\sigma '_{\text{m}}}$ 下饱和珊瑚砂F_C与 ${\gamma _0}$ 的关系

Figure 13. Relationship between F_C and ${\gamma _0}$ of saturated coral sand with different D_r and ${\sigma '_{\text{m}}}$

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表 1 纯砂粒、纯细粒及不同F_C的珊瑚砂基本物理指标

Table 1 Index properties of clean sand, pure fines and coral sand.with varying F_C

物理指标	细粒含量F_C/%
物理指标	0	6.41	10	20	30	100
e_max	1.79	1.72	1.70	1.65	1.62	1.52
e_min	1.12	0.99	0.91	0.77	0.69	0.89
d₅₀/mm	0.44	0.38	0.35	0.28	0.21	0.03
C_u	4.53	5.41	6.58	17.82	23.69	—
C_c	0.91	0.71	0.84	1.59	1.19	—
注：e_max为最大孔隙比；e_min为最小孔隙比；d₅₀为平均粒径；C_u为不均匀系数；C_c为曲率系数。

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表 2 珊瑚砂动力变形试验方案

Table 2 Test programs for dynamic deformation characteristics of coral sand

细粒含量F_C/%	相对密度D_r /%	初始有效围压 ${\sigma '_{\text{m}}}$ /kPa
0	30, 45, 70	100, 200, 300
10	30, 45, 70	100, 200, 300
20	30, 45, 70	100, 200, 300
30	30, 45, 70	100, 200, 300

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