logo

SCIENCE CHINA Technological Sciences, Volume 61 , Issue 3 : 370-380(2018) https://doi.org/10.1007/s11431-017-9127-7

Influence of stress anisotropy on the cylindrical cavity expansion in undrained elastic-perfectly plastic soil

More info
  • ReceivedJan 9, 2017
  • AcceptedAug 17, 2017
  • PublishedOct 20, 2017

Abstract

This work presents an analysis of the influence of stress anisotropy on cylindrical cavity expansions in an undrained elastic-perfectly plastic soil. This problem was formulated by assuming a large strain in both the elastic and plastic zones around the cavity and a plain strain condition during the cavity expansion process. The solutions for the limit pressure, stress, and excess pore pressure were obtained by introducing the anisotropic initial stress coefficient K0 into the conventional cylindrical cavity expansion method. The proposed solutions were then used to interpret the piezocone penetration test, and the suitability of the solutions was verified by comparing the prediction with the piezocone penetration test data. Subsequently, parametric studies were carried out to investigate the influence of stress anisotropy on the stress, excess pores pressure distributions around an expanding cylindrical cavity, and limit pressure. The results show that the proposed cylindrical cavity expansion method under stress anisotropy is suitable and can be used to investigate the piezocone cone test. The present work improves upon the conventional theoretical framework of cavity expansion and can be applied to the determination of the stresses around axially loaded piles and around in-situ testing devices such as penetrometers.


Funded by

National Natural Science Foundation of China(No. 51420105013)

the State Key Laboratory for Geomechanics and Deep Underground Engineering

China University of Mining and Technology(No. SKLGDUEK1713)

Fundamental Research Funds for the Central Universities(Nos.106112017CDJXY200003,106112017CDJPT200001)


Acknowledgment

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51420105013 & 51708063), the State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology (Grant No. SKLGDUEK1713), and Chongqing Research Program of Basic Research and Frontier Technology (Grant No. cstc2017jcyjAX0261).


References

[1] Bishop R F, Hill R, Mott N F. Theory of identation and hardness tests. Proc Phys Soc, 1945, 57: 147–159. Google Scholar

[2] Gibson R E, Anderson W F. In situ measurement of soil properties with the pressure meter. Civil Eng Public Works Rev, 1961, 56: 615–618. Google Scholar

[3] Vesic A S. Design of pile foundations. In: NCHRP Synthesis of Highway Practice, Vol. 42. Washington, DC: Transportation Research Board, 1977. Google Scholar

[4] Randolph M F, Carter J P, Wroth C P. Driven piles in clay—The effects of installation and subsequent consolidation. Géotechnique, 1979, 29: 361-393 CrossRef Google Scholar

[5] Yu H S, Rowe R K. Plasticity solutions for soil behaviour around contracting cavities and tunnels. Int J Numer Anal Meth Geomech, 1999, 23: 1245-1279 CrossRef Google Scholar

[6] Merifield R S, Sloan S W, Yu H S. Stability of plate anchors in undrained clay. Géotechnique, 2001, 51: 141-153 CrossRef Google Scholar

[7] McMahon B T, Haigh S K, Bolton M D. Cavity expansion model for the bearing capacity and settlement of circular shallow foundations on clay. Géotechnique, 2013, 63: 746-752 CrossRef Google Scholar

[8] Zhou H, Liu H, Kong G, et al. Analytical solution of undrained cylindrical cavity expansion in saturated soil under anisotropic initial stress. Comput Geotech, 2014, 55: 232-239 CrossRef Google Scholar

[9] Zhou H, Liu H, Kong G, et al. Analytical solution for pressure-controlled elliptical cavity expansion in elastic-perfectly plastic soil. Géotechnique Lett, 2014, 4: 72-78 CrossRef Google Scholar

[10] Zhou H, Liu H, Kong G. Influence of shear stress on cylindrical cavity expansion in undrained elastic-perfectly plastic soil. Géotechnique Lett, 2014, 4: 203-210 CrossRef Google Scholar

[11] Zareifard M R, Fahimifar A. Elastic-brittle-plastic analysis of circular deep underwater cavities in a mohr-coulomb rock mass considering seepage forces. Int J Geomech, 2014, 15: 1–10. Google Scholar

[12] Wijewickreme D, Weerasekara L. Analytical modeling of field axial pullout tests performed on buried extensible pipes. Int J Geomech, 2015, 15: 04014044 CrossRef Google Scholar

[13] Hill R. The Mathematical Theory of Plasticity. London: Oxford University Press, 1950. Google Scholar

[14] Chadwick P. The quasi-static expansion of a spherical cavity in metals and ideal soils. Q J Mech Appl Math, 1959, 12: 52-71 CrossRef Google Scholar

[15] Vesic A S. Expansion of cavities in infinite soil mass. J Soil Mech Found, 1972, 98: 265–290. Google Scholar

[16] Carter J P, Booker J R, Yeung S K. Cavity expansion in cohesive frictional soils. Géotechnique, 1986, 36: 349-358 CrossRef Google Scholar

[17] Collins I F, Yu H S. Undrained cavity expansions in critical state soils. Int J Numer Anal Methods Geomech, 1996, 20: 489-516 CrossRef Google Scholar

[18] Cao L F, Teh C I, Chang M F. Undrained cavity expansion in modified Cam clay I: Theoretical analysis. Géotechnique, 2001, 51: 323-334 CrossRef Google Scholar

[19] Chen S L, Abousleiman Y N. Exact undrained elasto-plastic solution for cylindrical cavity expansion in modified Cam Clay soil. Géotechnique, 2012, 62: 447-456 CrossRef Google Scholar

[20] Zou J F, Li S S. Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling. Sci China Tech Sci, 2015, 58: 1401-1413 CrossRef Google Scholar

[21] Zou J F, Xia Z Q, Dan H C. Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rock bolt. Geomech Eng, 2016, 11: 439-455 CrossRef Google Scholar

[22] Zou J, Zuo S. Similarity solution for the synchronous grouting of shield tunnel under the vertical non-axisymmetric displacement boundary condition. Adv Appl Math Mech, 2017, 9: 205-232 CrossRef Google Scholar

[23] Zou J F, Xia M. A new approach for the cylindrical cavity expansion problem incorporating deformation dependent of intermediate principal stress. Geomech Eng, 2017, 12: 347-360 CrossRef Google Scholar

[24] Mo P Q, Marshall A M, Yu H S. Elastic-plastic solutions for expanding cavities embedded in two different cohesive-frictional materials. Int J Numer Anal Meth Geomech, 2014, 38: 961-977 CrossRef ADS Google Scholar

[25] Mo P Q, Marshall A M, Yu H S. Interpretation of cone penetration test data in layered soils using cavity expansion analysis. J Geotech Geoenviron Eng, 2017, 143: 04016084 CrossRef Google Scholar

[26] Zhou H, Kong G, Liu H. A semi-analytical solution for cylindrical cavity expansion in elastic-perfectly plastic soil under biaxial in situ stress field. Géotechnique, 2016, 66: 584-595 CrossRef Google Scholar

[27] Li L, Li J, Sun D. Anisotropically elasto-plastic solution to undrained cylindrical cavity expansion in K0-consolidated clay. Comput Geotech, 2016, 73: 83-90 CrossRef Google Scholar

[28] Li J, Li L, Sun D, et al. Analysis of undrained cylindrical cavity expansion considering three-dimensional strength of soils. Int J Geomech, 2016, 16: 04016017 CrossRef Google Scholar

[29] Zhou H, Kong G Q, Liu H L. Pressure-controlled elliptical cavity expansion under anisotropic initial stress: Elastic solution and its application. Sci China Tech Sci, 2016, 59: 1100-1119 CrossRef Google Scholar

[30] Zhou H, Kong G, Li P, et al. Flat cavity expansion: Theoretical model and application to the interpretation of the flat dilatometer test. J Eng Mech, 2016, 142: 04015058 CrossRef Google Scholar

[31] Collins I F, Stimpson J R. Similarity solutions for drained a undrained cavity expansions in soils. Géotechnique, 1994, 44: 21-34 CrossRef Google Scholar

[32] Yu H S. Cavity Expansion Methods in Geomechanics. London: Springer Science and Business Media, 2000. Google Scholar

[33] Yu H S, Mitchell J K. Analysis of cone resistance: Review of methods. J Geotech GeoEnviron Eng, 1998, 124: 140-149 CrossRef Google Scholar

[34] Teh C I, Houlsby G T. An analytical study of the cone penetration test in clay. Géotechnique, 1991, 41: 17-34 CrossRef Google Scholar

[35] Nash D F T, Powell J J M, Lloyd I M. Initial investigations of the soft clay test site at Bothkennar. Géotechnique, 1992, 42: 163-181 CrossRef Google Scholar

[36] Hight D W, Bond A J, Legge J D. Characterization of the Bothkennaar clay: An overview. Géotechnique, 1992, 42: 303-347 CrossRef Google Scholar

Copyright 2020 Science China Press Co., Ltd. 《中国科学》杂志社有限责任公司 版权所有

京ICP备17057255号       京公网安备11010102003388号