Naval Architecture, Ocean and Civil Engineering

Undrained Solution for Cylindrical Cavity Expansion in Structured Soils Incorporating Destructuration Effect

Expand
  • 1. School of Geological Engineering and Surveying, Chang’an University, Xi’an 710054, China
    2. School of Civil Engineering, Chang’an University, Xi’an 710054, China
    3. Observation and Research Station of Water Cycle and Geological Environment for the Chinese Loess Plateau of the Ministry of Education, Zhengning 745399, Gansu, China

Received date: 2022-09-29

  Revised date: 2023-03-06

  Accepted date: 2023-03-09

  Online published: 2023-03-18

Abstract

The cavity expansion theory provides a theoretical basis for the displacement prediction of the installed piles and the analysis of pressuremeter test results. However, there is a lack of systematic analysis of the influences of soil structure in the existing solutions. In this paper, based on the Cemented-CASM considering the cementation effect, an elastoplastic solution for the cylindrical cavity expansion under undrained condition was presented by deriving the elastic-plastic.pngfness matrix reflecting the soil stress-strain relationship in combination with the hardening laws and larger-strain theory. To verify the validation of the present solution, it was compared with the solution in Modified Cam Clay soils when ignoring the soil structure and compared with the numerical results of pressuremeter tests when the soil structure was considered. Parametric analyses were conducted to illustrate the effects of soil structure and destructuration on the cavity expansion process. The results show that the effective stresses and pore water pressure caused by the cavity expansion in structured soils are larger than those in reconstituted soils, while the plastic range around the cavity becomes smaller due to the soil structure. With the damage of the structure, the soil exhibits a strain softening behavior, while the radial stress increases and then decreases as the distance from the cavity wall decreases. When the soil structure is completely destroyed, the effective stresses around the cavity are consistent with those in the reconstituted soils. As the soil structure strengthens, destructuration become faster under the same variation in cavity expansion pressure or cavity radius, and the strain softening behavior becomes more pronounced.

Cite this article

ZHAI Zhanghui, ZHANG Yaguo, XIAO Shuxiong, LI Tonglu . Undrained Solution for Cylindrical Cavity Expansion in Structured Soils Incorporating Destructuration Effect[J]. Journal of Shanghai Jiaotong University, 2024 , 58(7) : 1097 -1107 . DOI: 10.16183/j.cnki.jsjtu.2022.381

References

[1] 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.
[2] 张亚国, 李镜培. 静压沉桩引起的土体应力与孔压分布特征[J]. 上海交通大学学报, 2018, 52(12): 1587-1593.
  ZHANG Yaguo, LI Jingpei. Distribution characteristics of stress and pore pressure induced by pile jacking[J]. Journal of Shanghai Jiao Tong University, 2018, 52(12): 1587-1593.
[3] 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.
[4] GIBSON R E, ANDERSON W F. In-situ measurement of soil properties with pressuremeter[J]. Civil Engineering and Publish Works Review, 1961, 56(658): 615-618.
[5] MO P Q, YU H S. Undrained cavity contraction analysis for prediction of soil behavior around tunnels[J]. International Journal of Geomechanics, 2017, 17(5): 04016121.
[6] VESIC A S. Expansion of cavities in infinite soil mass[J]. Journal of Soil Mechanics & Foundations Division, 1972, 98(SM3): 265-290.
[7] CARTER J P, BOOKER J R, YEUNG S K. Cavity expansion in cohesive frictional soils[J]. Géotechnique, 1986, 36(3): 349-358.
[8] DURBAN D, FLECK N A. Spherical cavity expansion in a Drucker-Prager solid[J]. Journal of Applied Mechanics, 1997, 64(4): 743-750.
[9] COLLINS I F, STIMPSON J R. Similarity solutions for drained and undrained cavity expansions in soils[J]. Géotechnique, 1994, 44(1): 21-34.
[10] SILVESTRI V, ABOU-SAMRA G. Application of the exact constitutive relationship of modified Cam Clay to the undrained expansion of a spherical cavity[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 35(1): 53-66.
[11] 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.
[12] 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.
[13] 李镜培, 刘耕云, 周攀. 基于相似性原理超固结土不排水扩张半解析解[J]. 岩土力学, 2022, 43(3): 582-590.
  LI Jingpei, LIU Gengyun, ZHOU Pan. A semi-analytical solution for cavity undrained expansion in over-consolidated soils based on similarity transform theory[J]. Rock and Soil Mechanics, 2022, 43(3): 582-590.
[14] 武孝天, 徐永福. 基于CSUH模型的砂/黏土不排水柱孔扩张统一解[J]. 岩土工程学报, 2021, 43(6): 1019-1028.
  WU Xiaotian, XU Yongfu. Undrained unified solutions to cylindrical cavity expansion in soils and sands based on CSUH model[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(6): 1019-1028.
[15] CHEN S L, LIU K. Undrained cylindrical cavity expansion in anisotropic critical state soils[J]. Géotechnique, 2019, 69(3): 189-202.
[16] SIVASITHAMPARAM N, CASTRO J. Undrained expansion of a cylindrical cavity in clays with fabric anisotropy: Theoretical solution[J]. Acta Geotechnica, 2018, 13: 729-746.
[17] 翟张辉, 张亚国, 李同录, 等. 考虑边界效应的非饱和土圆柱孔扩张问题解析[J]. 岩土力学, 2022, 43 (Sup.1): 301-311.
  ZHAI Zhanghui, ZHANG Yaguo, LI Tonglu, et al. Solution for cylindrical cavity expansion in unsaturated soils considering the boundary effect[J]. Rock and Soil Mechanics, 2022, 43 (Sup.1): 301-311.
[18] 周凤玺, 牟占霖, 杨汝贤, 等. 不同排水条件下非饱和土中柱孔扩张问题的解析分析[J]. 力学学报, 2021, 53(5): 1496-1509.
  ZHOU Fengxi, MU Zhanlin, YANG Ruxian, et al. Analytical analysis on the expansion of cylindrical cavity in unsaturated soils under different drainage conditions[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1496-1509.
[19] 刘恩龙, 沈珠江, 范文. 结构性粘土研究进展[J]. 岩土力学, 2005, 26 (Sup.1): 1-8.
  LIU Enlong, SHEN Zhujiang, FAN Wen. Advances in researches on structured clay[J]. Rock and Soil Mechanics, 2005, 26 (Sup.1): 1-8.
[20] SIVASITHAMPARAM N, CASTRO J. Undrained cylindrical cavity expansion in clays with fabric anisotropy and structure: Theoretical solution[J]. Computers and Geotechnics. 2020, 120: 103386.
[21] MO P Q, CHEN H, YU H S. Undrained cavity expansion in anisotropic soils with isotropic and frictional destructuration[J]. Acta Geotechnica, 2022, 17(6): 2325-2346.
[22] LI J P, ZHOU P, LI L, et al. Elastoplastic solution of drained expansion of a cylindrical cavity in structured soils considering structure degradation[J]. Computers and Geotechnics. 2021, 133(4): 104051.
[23] ZHAI Z H, ZHANG Y G, XIAO S X, et al. Undrained elastoplastic solution for cylindrical cavity expansion in structured Cam Clay soil considering the destructuration effects[J]. Applied Sciences, 2022, 12(1): 440.
[24] LADE P V, TRADS N. The role of cementation in the behaviour of cemented soils[J]. Geotechnical Research, 2014, 1(4): 111-132.
[25] GONZáLEZ N A, ARROYO M, GENS A. Ide. pngication of bonded clay parameters in SBPM tests: A numerical study[J]. Soils and Foundations, 2009, 49(3): 329-340.
[26] YU H S. CASM: A unified state parameter model for clay and sand[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1998, 22(8): 621-653.
[27] ROWE P W. The stress-dilatancy relation for static equilibrium of an assembly of particles in contact[J]. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962, 269(1339): 500-527.
Outlines

/