Prediction of instability of K0-consolidated saturated sands under undrained loading conditions

Lü Xi-lin; QIAN Jian-gu; HUANG Mao-song

doi:10.11779/CJGE201506006

Volume 37 Issue 6

Turn off MathJax

Article Contents

Abstract

References

Chinese Journal of Geotechnical Engineering > 2015 > 37(6): 1010-1015. > DOI: 10.11779/CJGE201506006

Lü Xi-lin, QIAN Jian-gu, HUANG Mao-song. Prediction of instability of K0-consolidated saturated sands under undrained loading conditions[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(6): 1010-1015. DOI: 10.11779/CJGE201506006

Citation:

PDF (615 KB)

Prediction of instability of K0-consolidated saturated sands under undrained loading conditions

1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China;
2. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China

More Information

Received Date: August 20, 2014
Published Date: June 18, 2015

Graphical Abstract

Abstract

Abstract

Based on the second-order work criterion and bifurcation analysis, the framework for predicting the onset of diffuse instability and strain localization are proposed to study the instability of soils under K₀-consolidated undrained loading conditions. The analysis shows that the diffuse instability occurs in triaxial tests while the strain localization does not occur. The onset of diffuse instability relies on the initial void ratio of the specimen, and if the soil is dense enough, the soil specimen keeps stable until plastic limit due to the phase transformation. Under the plane strain conditions, the diffuse instability precedes the strain localization, and with further loading, the diffuse instability transits to strain localization. The inclusion of the non-coaxial plasticity flow rule has significant influence on the onset of strain localization, and the predicted results agree well with the experiments only if the non-coaxial flow rule is considered, while it shows no influence on the prediction of diffuse instability.
- sand,
- material state,
- diffuse instability,
- strain localization,
- non-coaxial plastic flow

FullText(HTML)

References (30)

References

[1]	LADE P V. Static instability and liquefaction of loose fine sandy slopes[J]. Journal of Geotechnical and Geoenviromental Engineering, ASCE, 1992, 118(1): 51–71.
[2]	CHU J, LEONG W K. Pre-failure strain softening and prefailure instability of sand: a comparative study[J]. Géotechnique, 2001, 51(4): 311–321.
[3]	WANATOWSKI D, CHU J. Factors affecting pre-failure instability of sand under plane-strain conditions[J]. Géotechnique, 2012, 62(2): 121–135
[4]	HAN C H, VARDOULAKIS I. Plane strain compression experiments on water-saturated fine-grained sand[J]. Géotechnique, 1991, 41(1): 49–78.
[5]	CHU J, LUO S C R, LEE I K. Strain softening and shear band formation of sand in multi-axial testing[J]. Géotechnique, 1996, 46(1): 63–82.
[6]	ALSHIBLI K A, STURE L S. Shear band formation in plane strain experiments of sand[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2000, 126(6): 495– 503.
[7]	LADE P V, WANG Q. Analysis of shear banding in true triaxial tests on sand[J]. Journal of Engineering Mechanics, ASCE, 2001, 127(8): 762–768.
[8]	RUDNICKI J W, RICE J R. Conditions for the localization of the deformation in pressure sensitive dilatant materials[J]. Journal of the Mechanics and Physics of Solids 1975, 23(6): 371–394.
[9]	RICE J R. The localization of plastic deformation[C]// Proceeding of 14th International Congress on Theoretical and Applied Mechanics. Delft, 1976: 371–394.
[10]	VARDOULAKIS I. Rigid granular plasticity model and bifurcation in the triaxial test[J]. Acta Mechanica, 1983, 49(1/2): 57–79.
[11]	CHAU K T. Non-normality and bifurcation in a compressible pressure-sensitive circular cylinder under axisymmetric tesion and compression[J]. International Journal of Solid and Structures, 1992, 29(7): 801–824.
[12]	PERI? D, RUNESSON K, STURE S. Evaluation of plastic bifurcation for plane strain versus axisymmetry[J]. Journal of Engineering Mechanics, ASCE 1992, 118: 512–524.
[13]	孙德安, 陈立文. 不同应力路径下超固结黏土分叉分析[J]. 岩土工程学报, 2011, 33(9): 646–651. (SUN De-an, CHEN Li-wen. Bifurcation analysis of over-consolidated clays under different stress paths[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(9): 646–651. (in Chinese))
[14]	吕玺琳, 黄茂松, 钱建固. 基于非共轴本构模型的砂土真三轴试验分叉分析[J]. 岩土工程学报, 2008, 30(5): 646– 651. (Lü Xi-lin, HUANG Mao-song, QIAN Jian-gu. Bifurcation analysis in true traxial tests on sands based on non-coaxial elasto-plasticity model[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(5): 646- 651. (in Chinese))
[15]	WAN R, PINHEIRO M, DAOUADJI A, et al. Diffuse instabilities with transition to localization in loose granular materials[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2013, 37(10): 1292– 1311.
[16]	LADE P V. Instability and liquefaction of granular materials[J]. Computers and Geotechnics, 1994, 16(22): 123-150.
[17]	BORJA R I. Condition for liquefaction instability in fluid saturated granular soils[J]. Acta Geotechnica, 2006, 1(4): 211-224.
[18]	ANDRADE J E. A predictive framework for liquefaction instability[J]. Géotechnique, 2009, 59(8): 673–682.
[19]	JEFFERIES M G. Nor-sand: a simple critical state for sand[J]. Géotechnique, 1993, 43(1): 91–103.
[20]	吕玺琳, 赖海波, 黄茂松. 饱和土体静态液化失稳理论预测[J]. 岩土力学, 2014, 35(5): 1330–1333, 1339. (Lü Xi-lin, LAI Hai-bo, HUANG Mao-song. Theoretically predicting instability of static liquefaction of saturated soils[J]. Rock and Soil Mechanics, 2014, 35(5): 1330–1333, 1339. (in Chinese))
[21]	FOURIE A B, TSHABALALA L. Initiation of static liquefaction and the role of K0 consolidation[J]. Canadian Geotechnical Journal, 2005, 42(3): 892–906.
[22]	黄茂松, 扈萍, 钱建固. 基于材料状态相关砂土临界状态理论的应变局部化分析[J]. 岩土工程学报, 2008, 30(8): 1133–1139. (HUANG Mao-song, HU Ping, QIAN Jian-gu. Strain localization of sand based on a state-dependent critical state model[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(8): 1133–1139. (in Chinese))
[23]	PIETRUSZCZAK S, STOLLE F E. Deformation of strain softening material: Part II modelling of strain softening response[J]. Computers and Geotechnics, 1987, 4(2): 109– 123.
[24]	PAPAMICHOS E, VARDOULAKIS I. Shear band formation in sand according to non-coaxial plasticity model[J]. Géotechnique, 1995, 45(4): 649–661.
[25]	HUANG M S, LU X L, QIAN J G. Non-coaxial elasto-plasticity model and bifurcation prediction of shear banding in sands[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2010, 34(9): 906– 919.
[26]	YANG Y M, YU H S. A non-coaxial critical state soil model and its application to simple shear simulations[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2006, 30(13): 1369–1390.
[27]	杨蕴明, 柴华友, 韦昌富. 非共轴本构模型的数值计算问题[J]. 岩土力学 2010, 31(增刊2): 373-377. (YANG Yun-ming, CHAI Hua-you, WEI Chang-fu. Numerical implementation of a yield vertex non-coaxial model[J].Rock and Soil Mechanics, 2010, 31(S2): 373–377. (in Chinese))
[28]	CHU J, WANATOWSKI D. Instability conditions of loose sand in plane strain[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2008, 134(1): 136– 142.
[29]	CHU J, LEROUEIL S, LEONG W K. Unstable behaviour of sand and its implication for slope instability[J]. Canadian Geotechnical Journal, 2003, 40: 873–885.
[30]	FINNO R J, HARRIS W W, MOONEY M A, et al. Shear bands in plane strain compression of loose sand[J]. Géotechnique, 1997, 47(1): 149–165.

Supplements (0)

Cited By

Get Citation

PDF

XML

Article views (403) PDF downloads (322)

Prediction of instability of K0-consolidated saturated sands under undrained loading conditions

Abstract

References

Catalog

Related

Prediction of instability of K0-consolidated saturated sands under undrained loading conditions

Abstract

References

Catalog

Related

Export File

Citation

Format

Content