Unified Analytical Solution for Cylindrical Cavity Expansion of Saturated Soil Based on Large Deformation and Non-Drainage

Article Preview

Abstract:

Soil around the cylindrical pore is divided into elastic and plastic regions. In the elastic region, the small deformation theory is applied while in the plastic region, the large deformation theory and unified strength criterion are applied. According to the stress equilibrium equation and the boundary condition of continuous stress and deformation, the theoretical solution to plastic region radius, limit expansion pore pressure excess pore pressure and excess pore water pressure of the cylindrical cavity expansion can be derived when considering large deformation and non-drainage problems. Compared to the theoretical results of Cao L.F., the theoretical calculation results are closer to the field test results which show that the theory has a certain value in engineering application. Through calculations and analysis, it is also derived that expansion pore pressure increase is non-linear with the increase of b value, while the excess pore water pressure is just the opposite.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 168-170)

Pages:

2406-2415

Citation:

Online since:

December 2010

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] ZOU Jinfeng. Cavity expansion based on the linear and nonlinear failure criteria and it's engineering applications[D]. Central South University, 2007, 11.

Google Scholar

[2] Jiang Ming-jing Shen Zhu-jiang. Expansion of cylindrica1 cavity of materials with strain-softening behavior [J]. Chinese Journal of Geotechnical Engineering.

Google Scholar

[3] Jiang Ming-jing Shen Zhu-jiang. On Expansion of Cylindrical Cavity with Linear Softening and Shear dilatation Behaviour [J] Chinese Journal of Rock Mechanics and Engineering, 1997, l6(6): 550-557.

Google Scholar

[4] XIAO Zhao-ran, ZHANG Zhao, DU Ming-fang. An elastoplastic closed-form approach of cavity expansion in saturated soil based on modified Cam clay model [J]. Rock and Soil Mechanics, 2004, 25(9): 1373-1378.

Google Scholar

[5] WANG Xiao-hong; WAN Jia4ai; LIANG Fa-yun. Analytical Solution to Expansion of Cavity in Strain-softening Materials [J]. Engineering Mechanics, 1999, 5: 71-76.

Google Scholar

[6] FAN Wen, YU Mao-hong, CHEN Li-wei. An Analytical Solution of Elastic-plastic Pressure Tunnel Considering Materia Softening and Dilettanti [J]. Engineering Mechanics, 2004, 23(19): 3213-3220.

Google Scholar

[7] Collins IF, Pender MJ, Wang Yan. Cavity expansion in sands under drained loading conditions. International Journal for Numerical and Analytical Methods in Geomechanics, 1992, 16: 3-23.

DOI: 10.1002/nag.1610160103

Google Scholar

[8] Yu H S. Houlsby G T. A large strain analytical solution for cavity contraction in dilatants soil [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1995, l9 (7): 793-811.

DOI: 10.1002/nag.1610191104

Google Scholar

[9] Collins IF, Yu HS. Undrained cavity expansions in critical state soils. International Journal for Numerical and Analytical Methods in Geomechanics. 1996, 20: 489-516.

DOI: 10.1002/(sici)1096-9853(199607)20:7<489::aid-nag829>3.0.co;2-v

Google Scholar

[10] Cao, L. F., The, C. I. & Chang M. F. Undrained cavity expansion in modified Cam Clay I: Theoretical analysis. Geotechnique. 2001, 51(4): 323-334.

DOI: 10.1680/geot.51.4.323.39395

Google Scholar

[11] Cao LF, Teh CI, Chang MF. Analysis of undrained cavity expansion in elastic-plastic soils with nonlinear elasticity. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26: 25-52.

DOI: 10.1002/nag.189

Google Scholar

[12] Lai Fa Cao, Cee Ing Teh and Ming-Fang Chang. Analysis of undrained cavity expansion in elastic-plastic soils with non-linear elasticity. International Journal for Numerical and Analytical Methods in Geomechanics. 2002, 26: 25-52.

DOI: 10.1002/nag.189

Google Scholar

[13] Yu Maohong. Twin shear theory and the application[M]. Beijing: Press of Science, (1998).

Google Scholar

[14] ZOU Jin-feng, LI Liang, YANG Xiao-li. Mechanism analysis of fracture grouting in soil[J]. Rock and Soil Mechanics, 27(4): 625-628.

Google Scholar

[15] ZOU, Jin-FengLi, Liang; Yang, Xiao-Li, et al. The Compare of Energy Dissipation Analysis Method of Cavity Expansion Considering the Large Strain and volume change in Sand Soil under High Stresses Respectively[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(2) : 426-432.

Google Scholar

[16] ZOU Jin-feng, LI Liang, YANG Xiao-li, et al. Method of energy analysis for compaction grouting[J]. Rock and Soil Mechanics, 27(3): 475-478.

Google Scholar

[17] Hu Zhongxiong. Soil mechnics and enviroement civil engneering[M]. Shanghai: press of Tongji University, (1997).

Google Scholar

[18] Wang Yuxing, Sun Jun. Influence of Pile Driving ob Properties of Soils Around Pile and Pore Water Pressure [J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(1): 153-158.

Google Scholar