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砂土应力-应变包络线的唯一性初探

邵龙潭, 高睿, 夏平心, 郭晓霞, 孙衍朴

邵龙潭, 高睿, 夏平心, 郭晓霞, 孙衍朴. 砂土应力-应变包络线的唯一性初探[J]. 岩土工程学报, 2025, 47(2): 265-274. DOI: 10.11779/CJGE20230404
引用本文: 邵龙潭, 高睿, 夏平心, 郭晓霞, 孙衍朴. 砂土应力-应变包络线的唯一性初探[J]. 岩土工程学报, 2025, 47(2): 265-274. DOI: 10.11779/CJGE20230404
SHAO Longtan, GAO Rui, XIA Pingxin, GUO Xiaoxia, SUN Yanpu. Preliminary study on uniqueness of stress-strain envelope curves of sand[J]. Chinese Journal of Geotechnical Engineering, 2025, 47(2): 265-274. DOI: 10.11779/CJGE20230404
Citation: SHAO Longtan, GAO Rui, XIA Pingxin, GUO Xiaoxia, SUN Yanpu. Preliminary study on uniqueness of stress-strain envelope curves of sand[J]. Chinese Journal of Geotechnical Engineering, 2025, 47(2): 265-274. DOI: 10.11779/CJGE20230404

砂土应力-应变包络线的唯一性初探  English Version

基金项目: 

国家自然科学基金项目 52079018

国家自然科学基金项目 4240070651

常州领军型创新人才引进培育项目 KYZ23020054

详细信息
    作者简介:

    邵龙潭(1963—),男,教授,博士生导师,主要从事土和孔隙介质力学基本理论研究、土工结构稳定分析、土工试验测试技术与仪器研发方面的工作。E-mail: shaolt@dlut.edu.cn

    通讯作者:

    夏平心, pingxinxia@cczu.edu.cn

  • 中图分类号: TU43

Preliminary study on uniqueness of stress-strain envelope curves of sand

  • 摘要: 土体循环加卸载外包络线是否具有唯一性在认识土体固有属性上具有重要意义。基于土样全表面变形数字图像测量系统,选用硅微粉和福建标准砂为研究对象,开展了一系列三轴剪切试验和三轴循环加卸载试验,探索等应力幅值、阶梯应力幅值和随机应力幅值循环加卸载下应力-应变外包络线与相应的单调加载应力-应变曲线的一致性。试验结果表明土样在相同密度和围压条件下,单调加载的应力-应变曲线与经历不同循环应力历程的加卸载应力-应变外包络线近似一致,提出了砂土应力-应变外包络线的唯一性;讨论了循环应力历史和应力水平对曲线回归速度的影响以及应力-应变包络线唯一性在建立轴向应变累积模型中的应用。
    Abstract: The uniqueness of the stress-strain envelope curves of sand under cyclic unloading is of great importance in understanding the inherent properties of the sand. A series of monotonic triaxial compress tests and cyclic triaxial tests, considering constant amplitude, step stress amplitude as well as random stress amplitude, are conducted on the silica powder and Fujian standard sand to explore the consistency between the stress-strain envelope curves and monotonic curve by employing the full-surface digital image measurement system. The results show that the monotonic stress-strain curves of the soil samples with the same density and confining pressure are approximately consistent with the stress-strain envelope curves that undergo different cyclic stress processes, and the uniqueness of the stress-strain envelope curves of the sand is proposed. The influences of the cyclic stress history and stress level on the regression velocity of the curves and the application of the uniqueness of the stress-strain envelope curves in the establishment of the axial strain accumulation model are discussed.
  • 图  1   侧限加卸载和三轴加卸载下外包络线示意图

    Figure  1.   Sketch of envelope curves under oedometric compression and triaxial compression tests[25]

    图  2   基于全表面变形测量系统的三轴试验仪

    Figure  2.   Triaxial tester based on full-surface deformation measurement system

    图  3   循环荷载工况下的应力-时间历程

    Figure  3.   Stress-time course under different cyclic loadings

    图  4   硅微粉的应力-应变曲线

    Figure  4.   Stress-strain curves of silica powder

    图  5   多级应力幅值应力-应变曲线

    Figure  5.   Stress-strain curves of multi-stage cyclic triaxial tests

    图  6   多级应力幅值应力-应变曲线(FS)

    Figure  6.   Stress-strain curves of multi-stage cyclic triaxial tests (FS)

    图  7   随机应力幅值应力-应变曲线(SP)

    Figure  7.   Stress-strain curves under random stress amplitude (SP)

    图  8   随机应力幅值循环三轴试验应力-应变曲线(FS)(ρ=1.60g/cm3σ3=200 kPa,应力时间历程4)

    Figure  8.   Stress-strain curves of cyclic triaxial tests under random stress amplitude (FS) ρ =1.60 g/cm3, σ3= 200 kPa, stress time course 4

    图  9   文献数据验证[29-30]

    Figure  9.   Validation of literature data

    图  10   BC割线模量的定义

    Figure  10.   Definition of secant modulus for BC line

    图  11   硅微粉经历不同加卸载次数的外包络线回归速度

    Figure  11.   Variation of regression velocity of envelope curves under different cyclic loadings for silica powder

    图  12   不同应力水平下卸载-再加载后外包络线回归速度(SP161)

    Figure  12.   Variation of regression velocity of envelope curves under different deviatoric stresses (SP161)

    图  13   割线模量EBC与应力水平的关系(SP161)

    Figure  13.   Relationship between EBC and deviatoric stress (SP161)

    图  14   循环荷载下轴向应变累积投影方法示意[25]

    Figure  14.   Projection method for accumulation of axial strains during cyclic loading

    表  1   试验材料的颗粒级配

    Table  1   Particle gradations of test materials

    试验材料 Gs 颗粒组成/% Cu
    2~0.5
    mm
    0.5~0.25
    mm
    0.25~0.075
    mm
    0.075~0.025
    mm
    0.025~0.005
    mm
    < 0.005 mm
    硅微粉 2.68 0.00 0.90 15.34 43.38 31.45 8.93 2.62
    福建标准砂 2.65 30.10 64.30 5.60 0.00 0.00 0.00 1.73
    下载: 导出CSV

    表  2   三轴单调剪切试验方案及强度

    Table  2   Program and strengths of triaxial monotonic shear tests

    试验编号 干密度/(g·cm-3) 围压/kPa 强度/kPa
    SP11 1.40 150 719
    SP12 1.40 200 861
    SP13 1.40 250 1068
    SP14 1.40 300 1261
    SP15 1.40 350 1470
    SP16 1.40 400 1643
    SP22 1.45 200 987
    SP32 1.50 200 998
    SP42 1.60 200 1112
    FS42 1.60 200 502
    下载: 导出CSV

    表  3   三轴循环加卸载试验方案

    Table  3   Programs of triaxial cyclic load tests

    序号 试验编号 干密度/
    (g·cm-3)
    围压/
    kPa
    应力时间历程 循环次数/次
    1 SP115 1.40 150 5 200
    2 SP121 1.40 200 1 5
    3 SP122 1.40 200 2 25
    4 SP123 1.40 200 3 50
    5 SP124 1.40 200 4 200
    6 SP125 1.40 200 5 200
    7 SP126 1.40 200 6 200
    8 SP127 1.40 200 7 200
    9 SP135 1.40 250 5 200
    10 SP145 1.40 300 5 200
    11 SP141 1.40 300 1 5
    12 SP142 1.40 300 2 25
    13 SP143 1.40 300 3 50
    14 SP155 1.40 350 5 200
    15 SP165 1.40 400 5 200
    16 SP161 1.40 400 1 5
    17 SP162 1.40 400 2 25
    18 SP163 1.40 400 3 50
    19 SP225 1.45 200 5 200
    20 SP325 1.50 200 5 200
    21 SP425 1.60 200 5 200
    22 FS421 1.60 200 1 5
    23 FS422 1.60 200 2 25
    24 FS424 1.60 200 4 200
    下载: 导出CSV

    表  4   试验编号中数字含义

    Table  4   Meanings of numbers in test number

    数字位置 表示物理量 编号含义
    1 2 3 4 5 6 7
    第一位 干密度/(g·cm-3) 1.40 1.45 1.50 1.60
    第二位 围压σ3/kPa 150 200 250 300 350 400
    第三位 应力时间历程 1 2 3 4 5 6 7
    下载: 导出CSV
  • [1] 邵龙潭, 洪帅, 郑卫锋. 循环孔隙水压力作用下饱和砂土变形的试验研究[J]. 岩土工程学报, 2006, 28(4): 428-431. doi: 10.3321/j.issn:1000-4548.2006.04.002

    SHAO Longtan, HONG Shuai, ZHENG Weifeng. Experimental study on deformation of saturated sand under cyclic pore water pressure[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(4): 428-431. (in Chinese) doi: 10.3321/j.issn:1000-4548.2006.04.002

    [2] 李雪, 王滢, 高盟, 等. 地震荷载作用下南海非饱和钙质砂动力特性研究[J]. 岩土力学, 2023, 44(3): 821-833.

    LI Xue, WANG Ying, GAO Meng, et al. Dynamic characteristics of unsaturated calcareous sand in South China Sea under seismic load[J]. Rock and Soil Mechanics, 2023, 44(3): 821-833. (in Chinese)

    [3] 周波, 雍旺雷. 地震荷载下液化土地区路基动力特性分析[J]. 土工基础, 2017, 31(1): 96-99.

    ZHOU Bo, YONG Wanglei. Seismic characteristics of subgrade liquefiable soils under earthquakes conditions[J]. Soil Engineering and Foundation, 2017, 31(1): 96-99. (in Chinese)

    [4] 张峰, 陈国兴, 吴琪, 等. 波浪荷载下饱和粉土不排水动力特性试验研究[J]. 岩土力学, 2019, 40(7): 2695-2702.

    ZHANG Feng, CHEN Guoxing, WU Qi, et al. Experimental study on undrained behavior of saturated silt subject to wave loading[J]. Rock and Soil Mechanics, 2019, 40(7): 2695-2702. (in Chinese)

    [5] 熊焕, 郭林, 蔡袁强. 交通荷载应力路径下砂土地基变形特性研究[J]. 岩土工程学报, 2016, 38(4): 662-669. doi: 10.11779/CJGE201604010

    XIONG Huan, GUO Lin, CAI Yuanqiang. Deformation behaviors of sandy subgrade soil under traffic load-induced stress path[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(4): 662-669. (in Chinese) doi: 10.11779/CJGE201604010

    [6] 叶斌, 叶为民, 冯守中, 等. 交通循环荷载作用下粉土路基的动态响应[J]. 同济大学学报(自然科学版), 2012, 40(8): 1135-1141. doi: 10.3969/j.issn.0253-374x.2012.08.003

    YE Bin, YE Weimin, FENG Shouzhong, et al. Dynamic analysis of silt subgrade under traffic loads[J]. Journal of Tongji University (Natural Science), 2012, 40(8): 1135-1141. (in Chinese) doi: 10.3969/j.issn.0253-374x.2012.08.003

    [7] 潘坤. 复杂静动力加载条件下各向异性砂土试验研究与本构模拟[D]. 杭州: 浙江大学, 2018.

    PAN Kun. Experimental Investigation and Constitutive Modeling of Anisotropic Sand under Complex Static and Cyclic Loading Conditions[D]. Hangzhou: Zhejiang University, 2018. (in Chinese)

    [8] 浦少云, 饶军应, 杨凯强, 等. 循环荷载下土体变形特性研究[J]. 岩土力学, 2017, 38(11): 3261-3270.

    PU Shaoyun, RAO Junying, YANG Kaiqiang, et al. Deformation characteristics of soil under cyclic loading[J]. Rock and Soil Mechanics, 2017, 38(11): 3261-3270. (in Chinese)

    [9]

    KARG C, HAEGEMAN W. Elasto-plastic long-term behavior of granular soils: experimental investigation[J]. Soil Dynamics and Earthquake Engineering, 2009, 29(1): 155-172. doi: 10.1016/j.soildyn.2008.01.001

    [10] 钟辉虹, 黄茂松, 吴世明, 等. 循环荷载作用下软黏土变形特性研究[J]. 岩土工程学报, 2002, 24(5): 629-632. doi: 10.3321/j.issn:1000-4548.2002.05.021

    ZHONG Huihong, HUANG Maosong, WU Shiming, et al. On the deformation of soft clay subjected to cyclic loading[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(5): 629-632. (in Chinese) doi: 10.3321/j.issn:1000-4548.2002.05.021

    [11] 周文权, 冷伍明, 聂如松, 等. 重载铁路粗粒土填料累积变形预测模型与应用[J]. 铁道学报, 2019, 41(11): 100-107. doi: 10.3969/j.issn.1001-8360.2019.11.014

    ZHOU Wenquan, LENG Wuming, NIE Rusong, et al. Prediction model of accumulative deformation of coarse-grained soil filling in heavy-haul railway and its application[J]. Journal of the China Railway Society, 2019, 41(11): 100-107. (in Chinese) doi: 10.3969/j.issn.1001-8360.2019.11.014

    [12]

    ROESLER J R, POPOVICS J S, RANCHERO J L, et al. Longitudinal cracking distress on continuously reinforced concrete pavements in Illinois[J]. Journal of Performance of Constructed Facilities, 2005, 19(4): 331-338. doi: 10.1061/(ASCE)0887-3828(2005)19:4(331)

    [13] 何绍衡, 刘志军, 夏唐代, 等. 长期循环荷载下珊瑚砂累积变形特性试验研究[J]. 岩土工程学报, 2019, 41(增刊2): 161-164. doi: 10.11779/CJGE2019S2041

    HE Shaoheng, LIU Zhijun, XIA Tangdai, et al. Experimental study on cumulative deformation characteristics of coral sand under long-term cyclic loading[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(S2): 161-164. (in Chinese) doi: 10.11779/CJGE2019S2041

    [14] 穆锐, 黄质宏, 浦少云, 等. 循环荷载下原状红黏土的累积变形特征及动本构关系研究[J]. 岩土力学, 2020(增刊2): 1-10.

    MU Rui, HUANG Zhihong, PU Shaoyun, et al. Accumulated deformation characteristics of undisturbed red clay under cyclic loading and dynamic constitutive relationship[J]. Rock and Soil Mechanics, 2020(S2): 1-10. (in Chinese)

    [15]

    DONG K, CONNOLLY D P, LAGHROUCHE O, et al. The stiffening of soft soils on railway lines[J]. Transportation Geotechnics, 2018, 17: 179-191. http://www.xueshufan.com/publication/2891320736

    [16]

    PUPPALA A J, SARIDE S, CHOMTID S. Experimental and modeling studies of permanent strains of subgrade soils[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(10): 1379-1389. doi: 10.1061/(ASCE)GT.1943-5606.0000163

    [17] 王学营, 岳夏冰, 惠冰. 轴向循环加载卸载条件下饱和软土变形特性试验研究[J]. 水资源与水工程学报, 2019, 30(5): 230-235.

    WANG Xueying, YUE Xia bing, HUI Bing. Study of deformation of saturated soft soil under axial cyclic loading and unloading[J]. Journal of Water Resources and Water Engineering, 2019, 30(5): 230-235. (in Chinese)

    [18]

    NGUYEN N S, FRANCOIS S, DEGRANDE G. Discrete modeling of strain accumulation in granular soils under low amplitude cyclic loading[J]. Computers and Geotechnics, 2014, 62: 232-243. doi: 10.1016/j.compgeo.2014.07.015

    [19]

    NIEMUNIS A, WICHTMANN T, TRIANTAFYLLIDIS T. A high-cycle accumulation model for sand[J]. Computers and Geotechnics, 2005, 32(4): 245-63. doi: 10.1016/j.compgeo.2005.03.002

    [20] 李建民, 滕延京. 土样回弹及再压缩变形特征的试验研究[J]. 工程勘察, 2010, 38(12): 9-14.

    LI Jianmin, TENG Yanjing. Experimental study on the characteristics of the rebound and the recompression deformation of soil under unloading[J]. Geotechnical Investigation and Surveying, 2010, 38(12): 9-14. (in Chinese)

    [21] 李建民, 滕延京. 土体再压缩变形规律的试验研究[J]. 岩土力学, 2011, 32(增刊2): 463-468.

    LI Jianmin, TENG Yanjing. Test study of law of recompression deformation of soil[J]. Rock and Soil Mechanics, 2011, 32(S2): 463-468. (in Chinese)

    [22]

    WICHTMANN T, TRIANTAFYLLIDIS T. An experimental database for the development, calibration and verification of constitutive models for sand with focus to cyclic loading: part Ⅱ—tests with strain cycles and combined loading[J]. Acta Geotechnica, 2016, 11(4): 763-774. doi: 10.1007/s11440-015-0412-x

    [23]

    TAHERI A, TATSUOKA F. Stress–strain relations of cement-mixed gravelly soil from multiple-step triaxial compression test result[J]. Soils and Foundations, 2012, 52(4): 748-766. doi: 10.1016/j.sandf.2012.07.014

    [24]

    TAHERI A, TATSUOKA F. Small- and large-strain behaviour of a cement-treated soil during various loading histories and testing conditions[J]. Acta Geotechnica, 2015, 10(1): 131-155. doi: 10.1007/s11440-014-0339-7

    [25]

    XIA P X, ZENG C, SHAO L T. et al. Axial strain accumulation projection model for sand in cyclic loading[J]. Soil Dynamics and Earthquake Engineering, 2021, 147: 106819. doi: 10.1016/j.soildyn.2021.106819

    [26]

    XIA P X, SHAO L T, DENG W, et al. Role of elastic upper limit in shakedown study for granular soils [J]. Transportation Geotechnics, 2022, 34: 100746. doi: 10.1016/j.trgeo.2022.100746

    [27] 邵龙潭, 郭晓霞, 刘港, 等. 数字图像测量技术在土工三轴试验中的应用[J]. 岩土力学, 2015, 36(增刊1): 669-684.

    SHAO Longtan, GUO Xiaoxia, LIU Gang, et al. Application of digital image processing technique to measuring specimen deformation in triaxial test[J]. Rock and Soil Mechanics, 2015, 36(S1): 669-684. (in Chinese)

    [28] 刘潇. 三轴试验土样全表面变形测量方法及其应用[D]. 大连: 大连理工大学, 2012.

    LIU Xiao. Method of Whole Surface Deformation Measurement for Soil Specimen in Triaxial Tests and Its Application[D]. Dalian: Dalian University of Technology, 2012. (in Chinese)

    [29] 田筱剑. 未破坏状态砂土的应力应变性质研究[D]. 大连: 大连理工大学, 2021.

    TIAN Xiaojian. Study on Stress-Strain Properties of Sand in Prior-Failure State[D]. Dalian: Dalian University of Technology, 2021. (in Chinese)

    [30]

    WICHTMANN T, NIEMUNIS A, TRIANTAFYLLIDIS T. Strain accumulation in sand due to cyclic loading: drained triaxial tests[J]. Soil Dynamics and Earthquake Engineering, 2005, 25(12): 967-979. doi: 10.1016/j.soildyn.2005.02.022

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出版历程
  • 收稿日期:  2023-05-07
  • 网络出版日期:  2024-07-30
  • 刊出日期:  2025-01-31

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