Critical cylindrical cavity expansion in unsaturated soil under undrained conditions incorporating suction effects

ZHANG Ya-guo; ZHAI Zhang-hui; LIANG Fa-yun; LI Tong-lu

doi:10.11779/CJGE202104016

Volume 43 Issue 4

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Chinese Journal of Geotechnical Engineering > 2021 > 43(4): 734-742. > DOI: 10.11779/CJGE202104016

ZHANG Ya-guo, ZHAI Zhang-hui, LIANG Fa-yun, LI Tong-lu. Critical cylindrical cavity expansion in unsaturated soil under undrained conditions incorporating suction effects[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(4): 734-742. DOI: 10.11779/CJGE202104016

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Critical cylindrical cavity expansion in unsaturated soil under undrained conditions incorporating suction effects

1.
School of Civil Engineering, Chang'an University, Xi’an 710061, China
2.
School of Geological Engineering and Surveying, Chang'an University, Xi'an 710054, China
3.
Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China

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Received Date: June 07, 2020
Available Online: December 04, 2022

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Abstract

Abstract

The cylindrical cavity expansion theory provides the theoretical basis for analysis of pile installation and pressuremeter tests. However, most of the studies are conducted on cavity expansion in saturated soil, and are unsuitable for solving the engineering problem in unsaturated soil. Therefore, based on the critical state soil model, the cylindrical cavity expansion in unsaturated soil under undrained conditions is solved. The stress-strain relationship is derived considering suction effects. Meanwhile, a constitutive equation for the relationship between the suction and the void volume is introduced. Combing the radial equilibrium equation, the formulation of the problem is reduced to solving a system of the first-order ordinary differential equations. Introducing an auxiliary variable, all of the differential equations are transferred to the Lagrangian description and solved by taking the values at the elasto-plastic boundary as the initial value. The results show that the soil stresses and the cavity expansion pressure increase as the suction increases, which can be regarded as the suction-stiffening effects. For the soil with low initial ratio volume, the partial volume and the suction in the plastic zone firstly increase, and then decrease, which implies that the shear dilatancy occurs during the cavity expansion. The results have a potential application in the related projects owing to the simple constitutive relation and available parameters.
- unsaturated soil,
- undrained condition,
- cylindrical cavity expansion,
- suction,
- elasto-plastic solution

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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. doi: 10.1680/geot.1979.29.4.361
[2]	LEE F H, JUNEJA A, TAN T S. Stress and pore pressure changes due to sand compaction pile installation in soft clay[J]. Géotechnique, 2004, 54: 1-16. doi: 10.1680/geot.2004.54.1.01
[3]	SCHNAID F, OLIVEIRA L A K, GEHLING W Y Y. Unsaturated constitutive surfaces from pressuremeter tests[J]. Journal of Geotechnical and Geoenvironmental Enigineering, 2004, 130(2): 174-185. doi: 10.1061/(ASCE)1090-0241(2004)130:2(174)
[4]	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
[5]	梁发云, 陈龙珠. 应变软化Tresca材料中扩孔问题解答及其应用[J]. 岩土力学, 2004, 25(2): 261-265. doi: 10.3969/j.issn.1000-7598.2004.02.020 LIANG Fa-yun, CHEN Long-zhu. Analytical solution to cavity expansion in strain-softening soils with Tresca yield criterion and its applications[J]. Rock and Soil Mechanics, 2004, 25(2): 261-265. (in Chinese) doi: 10.3969/j.issn.1000-7598.2004.02.020
[6]	CHEN S L, ABOUSLEIMAN N Y. Exact undrained elastoplastic solution for cylindrical cavity expansion in modified Cam Clay soil[J]. Géotechnique, 2012, 62(5): 447-456. doi: 10.1680/geot.11.P.027
[7]	LI L, LI J P, SUN D A. Anisotropically elasto-plastic solution to undrained cylindrical cavity expansion in K₀-consolidated clay[J]. Comput Geotech, 2016, 73: 83-90. doi: 10.1016/j.compgeo.2015.11.022
[8]	胡伟, 刘明振. 非饱和土中球形孔扩张的弹塑性分析[J]. 岩土工程学报, 2006, 28(10): 1292-1297. doi: 10.3321/j.issn:1000-4548.2006.10.022 HU Wei, LIU Ming-zhen. Elastic-plastic solution of expansion of sphere cavity in unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(10): 1292-1297. (in Chinese) doi: 10.3321/j.issn:1000-4548.2006.10.022
[9]	RUSSELL A R, KHALILI N. On the problem of cavity expansion in unsaturated soils[J]. Comput Mech, 2006, 37(4): 311-330. doi: 10.1007/s00466-005-0672-7
[10]	YANG H W, RUSSELL A R. Cavity expansion in unsaturated soils exhibiting hydraulic hysteresis considering three drainage conditions[J]. Int J Numer Anal Meth Geomech, 2015, 39: 1975-2016. doi: 10.1002/nag.2379
[11]	COLLINS I F, STIMPSON J R. Similarity solutions for drained and undrained cavity expansion in soils[J]. Géotechnique, 1994, 44(1): 21-34. doi: 10.1680/geot.1994.44.1.21
[12]	CHENG Y, YANG H W, SUN D A. Cavity expansion in unsaturated soils of finite radial extent[J]. Computers and Geotechnics, 2018, 102: 216-228. doi: 10.1016/j.compgeo.2018.06.013
[13]	CHEN S L, ABOUSLEIMAN N Y. 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]	翟张辉, 张亚国, 李同录, 等. 考虑非饱和土吸力效应的圆柱孔扩张有效应力解析[J]. 工程科学与技术, 2020, 52(3): 1-7. https://www.cnki.com.cn/Article/CJFDTOTAL-SCLH202003012.htm ZHAI Zhang-hui, ZHANG Ya-guo, LI Tong-lu, et al. effective stress solution for the cylindrical cavity expansion in unsaturated soil considering suction effect[J]. Advanced Engineering Sciences, 2020, 52(3): 1-7. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SCLH202003012.htm
[15]	CHEN H H, LI L, LI J P, SUN D A. Elastoplastic solution for cylindrical cavity expansion in unsaturated soils[J]. Comput Geotech, 2020, 123: 103569. doi: 10.1016/j.compgeo.2020.103569
[16]	BISHOP A W. The principle of effective stress[J]. Teknisk Ukeblad, 1959, 106(39): 859-863.
[17]	WOOD D M. Soil Behaviour and Critical State Soil Mechanics[M]. Cambridge U K: Cambridge University Press, 1990.
[18]	RUSSELL A R, KHALILI N. Cavity expansion in unsaturated soils[C]//Proceedings of the 3rd International Conference on Unsaturated soils, Edited by Juca JFT, de Campos and Marinho FAM, 2002, Recife: 233-238.