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Volume 42 Issue 10
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WU Xiao-tian, XU Yong-fu. Elasto-plastic solution for drained cavity expansion in over-consolidated soil incorporating three-dimensional unified hardening model[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(10): 1903-1913. DOI: 10.11779/CJGE202010016
Citation: WU Xiao-tian, XU Yong-fu. Elasto-plastic solution for drained cavity expansion in over-consolidated soil incorporating three-dimensional unified hardening model[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(10): 1903-1913. DOI: 10.11779/CJGE202010016
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Elasto-plastic solution for drained cavity expansion in over-consolidated soil incorporating three-dimensional unified hardening model

  • Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

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  • Received Date: January 13, 2020
  • Available Online: December 07, 2022
    Graphical Abstract
    • Abstract
  • The current solutions to cavity expansion cannot properly consider the stress-strain relationship and three-dimensional strength of the over-consolidated soil, thus there is some discrepancy between the solution and the practical situation. The existing researches show that the three-dimensional unified hardening (UH) model can well describe the mechanical properties of over-consolidated soil. Therefore, the model is used to develop a rigorous semi-analytical approach for drained cylindrical and spherical cavity expansion problems in over-consolidated soil. By introducing an auxiliary variable and combining the UH model, stress transform method and large strain theory, the cavity expansion problem is converted to solving a system of nonlinear differential equations as an initial value problem. There is no elastic zone around the cavity in the solution and the geomaterial parameters needed for the solution process are the same as for the Cam clay model. Compared with the modified Cam clay model-based solutions, the predicted results capture the stress-strain relationships, shear dilatancy, attenuation of over-consolidated ratio and potential failure stress ratio and three-dimensional stress states of the over-consolidated soil surrounding the cavity reasonably. Therefore, the proposed solution can be widely applied to the geotechnical problems in over-consolidated soil areas, such as the cone penetration tests and the pile installation.
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  • [1]
    WROTH C P, WINDLE D. Analysis of the pressuremeter test allowing for volume change[J]. Géotechnique, 1975, 25(3): 598-604. doi: 10.1680/geot.1975.25.3.598
    [2]
    CHANG M F, TEH C I, CAO L F. Undrained cavity expansion in modified Cam clay II: application to the interpretation of the piezocone test[J]. Géotechnique, 2001, 51(4): 335-350. doi: 10.1680/geot.2001.51.4.335
    [3]
    RANDOLPH M F, CARTER J P, WROTH C P. Driven piles in clay-the effects of installation and subsequent consolidation[J]. Géotechnique, 1979, 29(4): 361-393. doi: 10.1680/geot.1979.29.4.361
    [4]
    LI L, LI J, SUN D A, and Gong W. Analysis of time-dependent bearing capacity of a driven pile in clayey soils by total stress method[J]. Inter J Geomech, 2017, 17(7): 1-10.
    [5]
    ANDERSEN K H, RAWLINGS C G, LUNNE T A, et al. Estimation of hydraulic fracture pressure in clay[J]. Canadian Geotechnical Journal, 1994, 31(6): 817-828. doi: 10.1139/t94-099
    [6]
    MARSHALL A M. Tunnel-pile interaction analysis using cavity expansion methods[J]. J Geotech Geoenviron Eng, 2012, 138(10): 1237-1246. doi: 10.1061/(ASCE)GT.1943-5606.0000709
    [7]
    VESIC A S. Expansion of cavities in infinite soil mass[J]. Journal of the Soil Mechanics and Foundations Division, 1972, 98(SM3): 265-269.
    [8]
    YU H S, HOULSBY G T. Finite cavity expansion in dilatants soils: loading analysis[J]. Géotechnique, 1991, 41(2): 173-183. doi: 10.1680/geot.1991.41.2.173
    [9]
    MANTARAS F M, SCHNAID F. Cylindrical cavity expansion in dilatant cohesive-frictional materials[J]. Géotechnique, 2002, 52(5): 337-348. doi: 10.1680/geot.2002.52.5.337
    [10]
    YU H S, CARTER J P, Rigorous similarity solutions for cavity expansion in cohesive-frictional soils[J]. The International Journal of Geomechanics, 2002, 2(2): 233-258. doi: 10.1061/(ASCE)1532-3641(2002)2:2(233)
    [11]
    CAO L F, TEH CI, CHANG M F. Undrained cavity expansion in modified Cam clay I: theoretical analysis[J]. Géotechnique, 2001, 51(4): 323-334. doi: 10.1680/geot.2001.51.4.323
    [12]
    CHEN S L, ABOUSLEIMAN Y N. Exact undrained elasto-plastic solution for cylindrical cavity expansion in modified Cam clay soil[J]. Géotechnique, 2012, 62(5): 447-456. doi: 10.1680/geot.11.P.027
    [13]
    CHEN S L, ABOUSLEIMAN Y N. Exact drained solution for cylindrical cavity expansion in modified Cam clay soil[J]. Géotechnique, 2013, 63(6): 510-517. doi: 10.1680/geot.11.P.088
    [14]
    ZHOU H, LIU H L, KONG G Q. Analytical solution of undrained cylindrical cavity expansion in saturated soil under anisotropic initial stress[J]. Comput and Geotech, 2014, 55(1): 232-239.
    [15]
    李镜培, 唐剑华, 李林, 等. 饱和黏土中柱孔三维弹塑性扩张机制研究[J]. 岩石力学与工程学报, 2016, 35(2): 378-386. doi: 10.13722/j.cnki.jrme.2014.1645

    LI Jing-pei, TANG Jian-hua, LI Lin, et al. Mechanism of three dimensional elastic-plastic expansion of cylindrical cavity in saturated clay[J]. Chinese Journal of Rock Mechanics and Engineering, 2016, 35(2): 378-386. (in Chinese) doi: 10.13722/j.cnki.jrme.2014.1645
    [16]
    LI L, LI J P, SUN D A. Anisotropically elasto-plastic solution to undrained cylindrical cavity expansion in K0-consolidated clay[J]. Comput and Geotech, 2016, 73(3): 83-90.
    [17]
    CHEN S L, LIU K. Undrained cylindrical cavity expansion in anisotropic critical state soils[J]. Géotechnique, 2019, 69(3): 189-202. doi: 10.1680/jgeot.16.P.335
    [18]
    Liu K, Chen S L. Analysis of cylindrical cavity expansion in anisotropic critical state soils under drained conditions[J]. Can Geotech J, 2019, 56(5): 675-686. doi: 10.1139/cgj-2018-0025
    [19]
    姚仰平, 侯伟, 周安楠. 基于Hvorslev面的超固结土本构模型[J]. 中国科学(E辑), 2007, 37(11): 1417-1429. https://www.cnki.com.cn/Article/CJFDTOTAL-JEXK200711005.htm

    YAO Yang-ping, HOU Wei, ZHOU An-nan. A constitutive model for overconsolidated clays based on the Hvorslev envelope[J]. Science in China(Series E), 2007, 37(11): 1417-1429. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JEXK200711005.htm
    [20]
    YAO Y P, HOU W, ZHOU A N. UH model: three- dimensional unified hardening model for over- consolidated clays[J]. Géotechnique, 2009, 59(5): 451-469. doi: 10.1680/geot.2007.00029
    [21]
    YAO Y P, GAO Z W, ZHAO J D, et al. Modified UH model: constitutive modeling of overconsolidated clays based on a parabolic Hvorslev envelope[J]. J Geotech Geoenviron Eng, 2012, 138(7): 860-868. doi: 10.1061/(ASCE)GT.1943-5606.0000649
    [22]
    MATSUOKA H, SUN D A. The SMP Concept-Based 3D Constitutive Models for Geomaterials[M]. Taylor and Francis: CRC Press, 2006.
    [23]
    MATSUOKA H, YAO Y P, SUN D A. The Cam-clay model revised by the SMP criterion[J]. Soils Found 1999, 39(1): 81-95. doi: 10.3208/sandf.39.81
    [24]
    COLLINS I F, PENDER M J, WANG Y. Cavity expansion in sands under drained loading conditions[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1992, 16(1): 3-23. doi: 10.1002/nag.1610160103
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