DOI QR코드

DOI QR Code

Analysis of cavity expansion and contraction in unsaturated residual soils

  • 투고 : 2021.06.04
  • 심사 : 2021.11.18
  • 발행 : 2022.02.25

초록

Cavity expansion and contraction solutions for cylindrical and spherical cavities in unsaturated residual soils are presented in this paper. Varying soil state in the plastic zone is accounted by a numerical approach, wherein an element-by-element discretization of the plastic zone of both expanding and contracting cavities is carried out. Unlike existing methods utilizing self-similarity technique, the solution procedure enables the prediction of entire soil-state at any stage of expansion and subsequent contraction. It is also applicable for both cavity creation and expansion problems. The approach adopts constant contribution of suction to effective stress (constant Xs drainage condition) for analysis. The analysis procedure is validated by interpreting the previously reported pressuremeter test results in lateritic residual soil. The typical cavity expansion and contraction characteristics of unsaturated Indian lateritic soil were then examined using this solution procedure. The effect of initial soil-state on cavity limit pressure, plastic radius, reverse yield pressure, and reverse plastic radius are also presented.

키워드

과제정보

The solution approach and findings presented in this paper was a part of research funded by Science and Engineering Research Board (SERB) Research Grant (No. CRG/2019/004335) from the Department of Science and Technology (DST), Government of India, which is gratefully acknowledged. The financial support provided to the first author by the Ministry of Human Resource Development (MHRD), India, for completion of this work is also thankfully acknowledged.

참고문헌

  1. Been, K. and Jefferies, M.G. (1985), "A state parameter for sands", Geotechnique, 35(2), 99-112. https://doi.org/10.1680/geot.1985.35.2.99.
  2. Cao, L.F., Teh, C.I. and Chang, M.F. (2002), "Analysis of undrained cavity expansion in elasto-plastic soils with non-linear elasticity", Int. J. Numer. Anal. Meth. Geomech., 26(1), 25-52. https://doi.org/10.1002/nag.189.
  3. Carter, J.P., Booker, J.R. and Yeung, S.K. (1986), "Cavity expansion in cohesive frictional soils", Geotechnique, 36(3), 349-358. https://doi.org/10.1680/geot.1986.36.3.349.
  4. Chen, S.L. and Abousleiman, Y.N. (2013), "Exact drained solution for cylindrical cavity expansion in modified Cam Clay soil", Geotechnique, 63(6), 510-517. https://doi.org/10.1680/geot.11.P.088.
  5. Cheng, Y., Yang, H.W. and Sun, D. (2018), "Cavity expansion in unsaturated soils of finite radial extent", Comput. Geotech., 102, 216-228. https://doi.org/10.1016/j.compgeo.2018.06.013.
  6. Collins, I.F., Pender, M.J. and Yan, W. (1992), "Cavity expansion in sands under drained loading conditions", Int. J. Numer. Anal. Meth. Geomech., 16(1), 3-23. https://doi.org/10.1016/0148-9062(92)92891-F.
  7. Collins, I.F. and Stimpson, J.R. (1994), "Similarity solutions for drained a undrained cavity expansions in soils", Geotechnique, 44(1), 21-34. https://doi.org/10.1680/geot.1994.44.1.21.
  8. Davis, E.H. (1969), Chapter six: Theories of Plasticity and the Failure of Soil Masses, (Ed., I.K. Lee), Butterworths, London, England.
  9. Fredlund, D.G. and Xing, A. (1994), "Equations for the soil-water characteristic curve", Can. Geotech. J., 31(4), 521-532. https://doi.org/10.1139/t94-061.
  10. Futai, M.M., Almeida, M.S.S. and Lacerda, W.A. (2004), "Yield, strength, and critical state behavior of a tropical saturated soil", J. Geotech. Geoenviron. Eng., 130(11), 1169-1179. https://doi.org/10.1061/(asce)1090-0241(2004)130:11(1169).
  11. Khalili, N., Habte, M.A. and Zargarbashi, S. (2008), "A fully coupled flow deformation model for cyclic analysis of unsaturated soils including hydraulic and mechanical hysteresis", Comput. Geotech., 35(6), 872-889. https://doi.org/10.1016/j.compgeo.2008.08.003.
  12. Latib, F.W.M., Taha, M.R. and Kasa, A. (2018), "A review on critical state parameters of residual soil", J. Eng. Appl. Sci., 13(17), 7465-7470. https://doi.org/10.36478/jeasci.2018.7465.7470.
  13. Lee, S.W., Kim, T.S., Sim, B.K., Kim, J.S. and Lee, I.M. (2012), "Effect of pressurized grouting on pullout resistance and group efficiency of compression ground anchor", Can. Geotech. J., 49(8), 939-953. https://doi.org/10.1139/t2012-059.
  14. Li, C. and Zou, J.F. (2019), "Created cavity expansion solution in anisotropic and drained condition based on Cam-Clay model", Geomech. Eng., 19(2), 141-151. https://doi.org/10.12989/gae.2019.19.2.141.
  15. Li, C., Zou, J.F. and A.S. (2019a), "Closed-form solution for undrained cavity expansion in anisotropic soil mass based on spatially mobilized plane failure criterion", Int. J. Geomech., 19(7), 04019075. https://doi.org/10.1061/(asce)gm.1943-5622.0001458.
  16. Li, C., Zou, J.F. and Li, L. (2019b), "Elasto-plastic solution for cavity expansion problem in anisotropic and drained soil mass", Geomech. Eng., 19(6), 513-522. https://doi.org/10.12989/gae.2019.19.6.513.
  17. Li, C., Zou, J.F. and Sheng, Y.M. (2020), "Undrained solution for cavity expansion in strength degradation and tresca soils", Geomech. Eng., 21(6), 527-536. https://doi.org/10.12989/gae.2020.21.6.527.
  18. Li, L., Xiang, Z.C., Zou, J.F. and Wang, F. (2019c), "An improved model of compaction grouting considering three-dimensional shearing failure and its engineering application", Geomech. Eng., 19(3), 217-227. https://doi.org/10.12989/gae.2019.19.3.217.
  19. Lu, N. and Kaya, M. (2014), "Power law for elastic moduli of unsaturated soil", J. Geotech. Geoenviron. Eng., 140(1), 46-56. https://doi.org/10.1061/(asce)gt.1943-5606.0000990.
  20. Ng, C.W.W., Xu, J. and Yung, S.Y. (2009), "Effects of wetting-drying and stress ratio on anisotropic stiffness of an unsaturated soil at very small strains", Can. Geotech. J., 46(9), 1062-1076. https://doi.org/10.1139/t09-043.
  21. Rouainia, M., Panayides, S., Arroyo, M. and Gens, A. (2020), "A pressuremeter-based evaluation of structure in london clay using a kinematic hardening constitutive model", Acta Geotech., 15(8), 2089-2101. https://doi.org/10.1007/s11440-020-00940-w.
  22. Russell, A.R. (2014), "How water retention in fractal soils depends on particle and pore sizes, shapes, volumes and surface areas", Geotechnique, 64(5), 379-390. https://doi.org/10.1680/geot.13.p.165.
  23. Russell, A.R. and Buzzi, O. (2012), "A fractal basis for soil-water characteristics curves with hydraulic hysteresis", Geotechnique, 62(3), 269-274. https://doi.org/10.1680/geot.10.p.119.
  24. Russell, A.R. and Khalili, N. (2006), "On the problem of cavity expansion in unsaturated soils", Comput. Mech., 37(4), 311-330. https://doi.org/10.1007/s00466-005-0672-7.
  25. Salgado, R. and Prezzi, M. (2007), "Computation of cavity expansion pressure and penetration resistance in sands", Int. J. Geomech., 7(4), 251-265. https://doi.org/10.1061/(asce)1532-3641(2007)7:4(251).
  26. Salgado, R. and Randolph, M.F. (2001), "Analysis of cavity expansion in sand", Int. J. Geomech., 1(2), 175-192. https://doi.org/10.1061/(asce)1532-3641(2001)1:2(175).
  27. Schanz, T. and Vermeer, P.A. (1996), "Angles of friction and dilatancy of sand", Geotechnique, 46(1), 145-151. https://doi.org/10.1680/geot.1996.46.1.145.
  28. Schnaid, F., Kratz de Oliveira, L.A. and Gehling, W.Y.Y. (2004), "Unsaturated constitutive surfaces from pressuremeter tests", J. Geotech. Geoenviron. Eng., 130(2), 174-185. https://doi.org/10.1061/(asce)1090-0241(2004)130:2(174).
  29. Schnaid, F., Ortigao, J.A., Mantaras, F.M., Cunha, R.P. and MacGregor, I. (2000), "Analysis of self-boring pressuremeter (SBPM) and Marchetti dilatometer (DMT) tests in granite saprolites", Can. Geotech. J., 37(4), 796-810. https://doi.org/10.1139/t00-005.
  30. Tang, J., Wang, H. and Li, J. (2021), "A semi-analytical solution to spherical cavity expansion in unsaturated soils", Geomech. Eng., 25(4), 283-294. https://doi.org/10.12989/gae.2021.25.4.283.
  31. Thiyyakkandi, S., McVay, M., Bloomquist, D. and Lai, P. (2013), "Measured and predicted response of a new jetted and grouted precast pile with membranes in cohesionless soils", J. Geotech. Geoenviron. Eng., 139(8), 1334-1345. https://doi.org/10.1061/(asce)gt.1943-5606.0000860.
  32. Wang, Y., Li, L. and Li, J. (2021), "A similarity solution for undrained expansion of a cylindrical cavity in K0-consolidated anisotropic soils", Geomech. Eng., 25(4), 303-315. https://doi.org/10.12989/gae.2021.25.4.303.
  33. Yang, H. and Russell, A.R. (2015a), "Cavity expansion in unsaturated soils exhibiting hydraulic hysteresis considering three drainage conditions", Int. J. Numer. Anal. Meth. Geomech., 39(18), 1975-2016. https://doi.org/10.1002/nag.2379.
  34. Yang, H. and Russell, A.R. (2015b), "Cone penetration tests in unsaturated silty sands", Can. Geotech. J., 53(3), 431-444. https://doi.org/10.1139/cgj-2015-0142.
  35. Yu, H.S. and Carter, J.P. (2002), "Rigorous similarity solutions for cavity expansion in cohesive-frictional soils", Int. J. Geomech., 2(2), 233-258. https://doi.org/10.1061/(asce)1532-3641(2002)2:2(233).
  36. Yu, H.S. and Houlsby, G.T. (1991), "Finite cavity expansion in dilatant soils: loading analysis", Geotechnique, 41(2), 173-183. https://doi.org/10.1680/geot.1991.41.2.173.
  37. Zhang, J. and Salgado, R. (2010), "Stress-dilatancy relation for mohr-coulomb soils following a non-associated flow rule", Geotechnique, 60(3), 223-226. https://doi.org/10.1680/geot.8.t.039.
  38. Zhao, C.F., Fei, Y., Zhao, C. and Jia, S.H. (2018), "Analysis of expanded radius and internal expanding pressure for undrained cylindrical cavity expansion", Int. J. Geomech., 18(2), 04017139. https://doi.org/10.1061/(asce)gm.1943-5622.0001058.