Technical Papers
Aug 4, 2011

Cylindrical Cavity Expansion in Elastoplastic Medium with a Variable Potential Flow

Publication: International Journal of Geomechanics
Volume 13, Issue 1

Abstract

An analytical model dealing with the problem of an expanded cylindrical cavity in an elastoplastic medium is presented. The constitutive material is assumed to be weightless, homogeneous, and isotropic; its resistance is governed by the Mohr-Coulomb’s strength criterion. Elastoplastic behavior, characterized by a variable plastic potential of flow, is then considered to determine the limit pressure of the expanded cavity. Such a constitutive model takes into account the volume variation, which depends, in particular, on the horizontal distance between the applied load and each point of the expanded medium. Potential applications in soil mechanics are suggested to perform the proposed model.

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References

Bergado, D. T., and Lam, F. L. (1987). “Full scale load test on granular piles with different densities and different proportions of gravel and sands on soft Bangkok clay.” Soils Found., 27(1), 86–93.
Bishop, A. W., Hill, R., and Mott, M. (1945). “The theory of indentation and hardness tests.” Proc., Physical Society, 57(3), 147–159.
Bouassida, M., and Frikha, W. (2007). “Extreme pressure due to the expansion of a cylindrical or spherical cavity in limitless medium: Applications in soil mechanics.” Acta Geotech., 2(2), 87–96.
Carter, J. P., Booker, J. R., and Yeung, S. K. (1986). “Cavity expansion in cohesive frictional soils.” Geotechnique, 36(2), 349–358.
Carter, J. P., and Yeung, S. K. (1985). “Analysis of cylindrical cavity expansion in strain-weakening material.” Comput. Geotech., 1(3), 161–180.
Chadwick, P. (1959). “The quasi-static expansion of a spherical cavity in metal and ideal soils.” Quart. J. Mech. App. Math., 12(1), 52–71.
Davis, E. H. (1969). “Theories of plasticity and failure of soil masses.” Chapter 6, Soil mechanics selected topics, I. K. Lee, ed., Butterworths, London, 341–380.
Frikha, W., and Bouassida, M. (2005). “Détermination des caractéristiques mécaniques d’un sol purement frottant à partir des résultats de l’essai pressiometrique.” Symposium Int. PRESSIO, Press ENCP, Paris, 297–305.
Frikha, W., Bouassida, M., and Canou, J. (2008). “Calibration of an elastoplastic model for the prediction of stone column ultimate bearing capacity.” Proc., GeoCongress: Geosustainability and Geohazard Mitigation, New Orleans, 604–611.
GeoCongress. (2008). Geosustainability and geohazard mitigation, 604–611.
Gibson, R. E., and Anderson, W. F. (1961). “In situ measurement of soil properties with the pressuremeter.” Civil Eng. Public Works Rev., 56, 615–661.
Hill, R. (1950). “The expansion of a spherical shell.” The mathematical theory of plasticity, Oxford Clarendon Press, Oxford, U.K.
Huang, A. B., Chameau, J. L., and Holtz, R. D. (1986). “Interpretation of pressuremeter data in cohesive soils by simplex algorithm.” Geotechnique, 36(4), 599–603.
Hughes, J. M. O., Worth, C. P., and Windle, D. (1977). “The pressuremeter test in sands.” Geotechnique, 27(4), 455–472.
Jang, I. S., Chung, C.-K., Kim, M. M., and Cho, S. M. (2003). “Numerical assessment on the consolidation characteristics of clays from strain holding, self-boring pressuremeter test.” Comput. Geotech., 30(2), 121–140.
Kouzer, K. M., and Kumar, J. (2009). “Vertical uplift capacity of equally spaced horizontal strip anchors in sand.” Int. J. Geomech., 9(5), 230–236.
Ladanyi, B. (1963). “Expansion of a cavity in saturated clay medium.” J. Soil Mech. Found., 89(4), 127–161.
Ladanyi, B., and Foriero, A. (1998). “A numerical solution of cavity expansion problem in sand based directly on experimental stress-strain curves.” Can. Geotech. J., 35(4), 541–559.
Manassero, B. (1989). “Stress-strain relationships from drained self-boring pressuremeter test in sands.” Geotechnique, 39(2), 293–307.
Mecsi, J. (1991). “Stresses, displacements, volume changes around the expansion cylinder in the soil.” Proc., 10th European Conf. on Soil Mechanics and Foundation Engineering, A. A. Balkema, Rotterdam, Netherlands, 243–246.
Ménard, L. (1957). “Mesures in situ des propriétés physiques des sols.” Ann. Ponts Chaussées, 3, 357–376 (in French).
Monnet, J., and Khlif, J. (1994). “Etude théorique de l’équilibre élastoplastique d’un sol pulvérulent autour du pressiomètre.” Rev. Française Géotechnique, 67, 3–12 (in French).
Müller, H. (1970). Baugrunduntersuchung mit dem Pressiometerverfahren nach Menard, Bautechnik, Berlin (in German).
Salençon, J. (1966). “Expansion quasi-statique d’une cavité à symétrie sphérique ou cylindrique dans un milieu élastoplastique.” Ann. Ponts Chaussées, 3, 175–187 (in French).
Shelke, A., and Patra, N. R. (2008). “Effect of arching on uplift capacity of pile groups in sand.” Int. J. Geomech., 8(6), 347–354.
Singh, S., Sivakugan, N., and Shukla, S. K. (2010). “Can soil arching be insensitive to φ?” Int. J. Geomech., 10(3), 124–128.
Taiebat, M., and Dafalias, Y. F. (2010). “Simple yield surface expressions appropriate for soil plasticity.” Int. J. Geomech., 10(4), 161–169.
Ting, C. H., Shukla, S. K., and Sivakugan, N. (2011). “Arching in soils applied to inclined mine stopes.” Int. J. Geomech., 11(1), 29–35.
Vésic, A. S. (1972). “Expansion of cavities in infinite soil mass.” J. Soil Mech. Found. Div., 22(3), 451–457.
Wroth, C. P., and Windle, D. (1975). “Analysis of the pressuremeter test allowing for volume change.” Geotechnique, 25(3), 589–604.
Yu, H. S., and Houlsby, G. T. (1991). “Finite cavity expansion in dilatant soils: Loading analysis.” Geotechnique, 41(2), 173–183.
Zentar, R., Hicher, P. Y., and Moulin, G. (2001). “Identification of soil parameters by inverse analysis.” Comput Geotech., 28(2), 129–144.
Zhou, W.-H., and Yin, J.-H. (2008). “A simple math model for soil nail and soil interaction analysis.” Comput. Geotech., 35(3), 479–488.

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Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 13Issue 1February 2013
Pages: 9 - 15

History

Received: Dec 24, 2010
Accepted: Aug 2, 2011
Published online: Aug 4, 2011
Published in print: Feb 1, 2013

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Authors

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Wissem Frikha [email protected]
Assistant Professor, University of Tunis El Manar, Geotechnical Engineering, Research Team, Ecole Nationale d’Ingénieurs de Tunis, BP 37 Le Belvédère, 1002 Tunis, Tunisia. E-mail: [email protected]
Mounir Bouassida [email protected]
Professor, University of Tunis El Manar, Geotechnical Engineering, Research Team, Ecole Nationale d’Ingénieurs de Tunis, BP 37 Le Belvédère, 1002 Tunis, Tunisia (corresponding author). E-mail: [email protected]

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