Upper-Bound Solution for Flat Cavity Expansion Model
Publication: Journal of Engineering Mechanics
Volume 142, Issue 7
Abstract
In this paper, an upper-bound solution for the FCEM is proposed to study the effect of the plastic behavior of soil on the interpretation of a flat dilatometer test. Kinematically admissible displacement fields for the FCEM are derived from Zhou’s elastic solutions for an incompressible material. These displacement fields are then used to obtain an upper-bound solution for a FCEM based on energy conservation principles that the sum of the plastic and elastic work of soil is equal to the flat cavity expansion work, with yield being defined using the Tresca yield criterion. The upper-bound solution is validated by comparing the calculated list-off pressure for the flat dilatometer test using both the proposed upper-bound solution to an elastic solution and a series of field test data. The results show that the proposed upper-bound solution is better than the elastic solution in interpreting the flat dilatometer test.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (51478165) and the 111 Project (B13024).
References
Baligh, M. M. (1985). “Strain path method.” J. Geotech. Eng., 1108–1136.
Chang, M.-F. (1991). “Interpretation of overconsolidation ratio from in situ tests in recent clay deposits in Singapore and Malaysia.” Can. Geotech. J., 28(2), 210–225.
Drucker, D. C., Prager, W., and Greenberg, H. J. (1952). “Extended limit design theorems for continuous media.” Q. Appl. Math., 9, 381–389.
Finno, R. J. (1993). “Analytical interpretation of dilatometer penetration through saturated cohesive soils.” Geotechnique, 43(2), 241–254.
Klar, A., Klein, B. (2014). “Energy-based volume loss prediction for tunnel face advancement in clays.” Géotechnique, 64(20), 776–786.
Klar, A., and Osman, A. S. (2008). “Continuous velocity fields for the T-bar problem.” Int. J. Numer. Anal. Methods Geomech., 32(8), 949–963.
Klar, A., Osman, A. S., and Bolton, M. (2007). “2D and 3D upper bound solutions for tunnel excavation using ‘elastic’ flow field.” Int. J. Numer. Anal. Methods Geomech., 31(12), 1367–1374.
Lacasse, S., and Lunne, Y. (1988). “Calibration of dilatometer correlations.” Proc., 1st Int. Symp. on Penetration Testing, Norges Geotekniske Institutt, Oslo, Norway, 539–548.
Marchetti, S. (1980). “In situ tests by flat dilatometer.” J. Geotech. Eng. Div., 106(3), 299–321.
MATLAB [Computer software]. MathWorks, Natick, MA.
Mayne, P. W. (1987). “Determining preconsolidation of stress and penetration pore pressures from DMT contact pressure.” Geotech. Test. J., 10(3), 409–412.
Muskhelishvili, N. I. (1954). Some basic problems of the mathematical theory of elasticity, P. Noordhoff, Groningen, Netherlands.
Sagaseta, C. (1987). “Analysis of undrained soil deformation due to ground loss.” Géotechnique, 37(3), 301–320.
Savin, G. N. (1961). Stress concentration around holes, Pergamon, Oxford, U.K.
Takeshi, K., and Kimitoshi, I. (1995). “Evaluation of undrained shear strength of cohesive soils using a flat dilatometer.” Soils Found., 35(2), 111–116.
Whittle, A. J., and Aubeny, C. P. (1993). “The effects of installation disturbance on interpretation of in situ tests in clays.” Predictive soil mechanics, Thomas Telford, London, 742–767.
Zhou, H., Kong, G., Li, P., and Liu, H. (2015). “Flat cavity expansion: Theoretical model and application to the interpretation of the flat dilatometer test.” J. Eng. Mech., 04015058.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 7 • July 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Sep 21, 2015
Accepted: Jan 7, 2016
Published online: Mar 9, 2016
Published in print: Jul 1, 2016
Discussion open until: Aug 9, 2016
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