Abstract
This chapter describes some basic cavity expansion solutions in elastic-perfectly plastic soils. Both cylindrical and spherical cavities in either a finite or an infinite soil mass are considered. Note that a tension positive notation is used in this chapter
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References
Bigoni, D. and Laudiero, F. (1989). The quasi-static finite cavity expansion in a non-standard elasto-plastic medium. International Journal of Mechanical Sciences, 31, 825–837.
Carter, J.P., Booker, J.R. and Yeung, S.K. (1986). Cavity expansion in cohesive frictional soils. Geotechnique, 36(3), 349–353.
Chadwick, P. (1959). The quasi-static expansion of a spherical cavity in metals and ideal soils. Quarterly Journal of Mechanics and Applied Mathematics, 12, 52–71.
Collins, I.F. and Wang, Y. (1990). Similarity solutions for the quasi-static expansion of cavities in frictional materials. Research report No. 489, Department of Engineering Science, University of Auckland, New Zealand.
Davis, E.H. (1968). Theories of plasticity and the failure of soil masses. In: Soil Mechanics (Editor: I.K. Lee). London, Butterworths.
Florence, A.L. and Schwer, L.E. (1978). Axisymmetric compression of a Mohr-Coulomb medium around a circular hole. International Journal for Numerical and Analytical Methods in Geomechanics, 2, 367–379.
Gibson, R.E. and Anderson, W.F (1961). In situ measurement of soil properties with the pressuremeter. Civil Engineering and Public Works Review, 56, 615–618.
Hill, R. (1950). The Mathematical Theory of Plasticity. Oxford University Press.
Houlsby, G.T. and Withers, N.J. (1988). Analysis of the cone pressuremeter test in clay. Geotechnique, 38(4), 575–587.
Houlsby, G.T., Clarke, B.G. and Wroth, C.P. (1986). Analysis of unloading of a pressuremeter in sand. Proceedings of the 2nd International Symposium on Pressuremeters, ASTM STP 950, 245–264.
Hughes, J.M.O., Wroth, C.P. and Windle, D. (1977). Pressuremeter tests in sands. Geotechnique, 27(4), 455–477.
Jefferies, M.G. (1988). Determination of horizontal geostatic stress in clay with self-bored pressuremeter. Canadian Geotechnical Journal, 25, 559–573.
Ladanyi, B. (1963). Evaluation of pressuremeter tests in granular soils. Proc. 2nd Pan American Conference on Soil Mechanics, San Paulo, 1, 3–20.
Salencon, J. (1969). Contraction quasi-statique d’une cavite a symetrie spherique ou cylindrique dans un milieu elastoplastique. Annales des Ponts et Chaussees, 4, 231–236.
Senseny, P.E., Lindberg, H.E. and Schwer, L.E. (1989). Elastic-plastic response of a circular hole to repeated loading. International Journal for Numerical and Analytical Methods in Geomechanics, 13, 459–476.
Vesic, A.S. (1972). Expansion of cavities in infinite soil mass. Journal of the Soil Mechanics and Foundations Division, ASCE, 98, 265–290.
Wang, Y. (1992). Cavity Expansion in Sands with Applications to Cone Penetrometer Tests. PhD Thesis, Auckland University .
Withers, N.J., Howie, J., Hughes, J.M.O. and Robertson, RK. (1989). Performance and analysis of cone pressuremeter tests in sands. Geotechnique, 39, 433–454.
Yu, H.S. (1990). Cavity Expansion Theory and Its Application to the Analysis of Pressur-emeters. DPhil Thesis, Oxford University .
Yu, H.S. (1992). Expansion of a thick cylinder of soils. Computers and Geotechnics, 14, 21–41.
Yu, H.S. (1993). Finite elastoplastic deformation of an internally pressurized hollow sphere. Acta Mechanica Solida Sinica, 6(1), 81–97.
Yu, H.S. and Houlsby, G.T. (1991). Finite cavity expansion in dilatant soils: loading analysis. Geotechnique, 41(2), 173–183.
Yu, H.S. and Houlsby, G.T. (1995). A large strain analytical solution for cavity contraction in dilatant soils. International Journal for Numerical and Analytical Methods in Geo-mechanics, 19(11), 793–811.
Yu, H.S. and Rowe, R.K. (1999). Plasticity solutions for soil behaviour around contracting cavities and tunnels. International Journal for Numerical and Analytical Methods in Geomechanics, 23, 1245–1279.
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Yu, HS. (2000). Elastic-Perfectly Plastic Solutions. In: Cavity Expansion Methods in Geomechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9596-4_3
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DOI: https://doi.org/10.1007/978-94-015-9596-4_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4023-7
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