Analysis of Steady Cone Penetration in Clay
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 126, Issue 7
Abstract
In this paper, a novel finite-element procedure is used to analyze steady cone penetration in soils. Although the procedure is, in principle, applicable to clay and sand with any plasticity model, this paper is only concerned with steady cone penetration in undrained clay. The steady-state finite-element analysis focuses on the total displacements experienced by soil particles at a particular instant in time during the cone penetration test. This is possible because, with the steady-state assumption, the time dependence of stresses and strains can be expressed as a space dependence in the penetration direction. As a result, the finite-element solution of steady cone penetration can be obtained in one step. When compared with the strain path method, the present finite-element procedure offers the following advantages: (1) All equations of soil equilibrium are fully accounted for; (2) cone and shaft roughness can be taken into account in a more rigorous manner and, as a result, the sleeve friction ratio can be properly predicted; and (3) the finite-element procedure can be more easily adapted to analyze cone penetration in dilatant soils.
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References
1.
Baligh, M. M. (1985). “Strain path method.”J. Geotech. Engrg., ASCE, 111(9), 1108–1136.
2.
Baligh, M. M. (1986). “Undrained deep penetration: Shear stresses.” Géotechnique, London, 36(4), 471–485.
3.
Braham, S., Nguyen-Minh, D., Maitournam, H., and Guo, C. (1994). “Deep tunnels driven at constant rate under three-dimensional geostatic stress state—a new steady state finite element method.” Proc., 8th Int. Conf. on Numer. Methods in Geomechanics, 2253–2557.
4.
Budhu, M., and Wu, C. S. (1992). “Numerical analysis of sampling disturbances in clay soils.” Int. J. Numer. and Analytical Methods in Geomechanics, 16, 467–492.
5.
Cividini, A., and Gioda, G. (1988). “A simplified analysis of pile penetration.” Proc., 6th Int. Conf. on Numer. Methods in Geomechanics, 1043–1049.
6.
Collins, I. F., and Yu, H. S. (1996). “Undrained cavity expansions in critical state soils.” Int. J. Numer. and Analytical Methods in Geomechanics, 20(7), 489–516.
7.
Dafalias, Y. F., and Herrmann, L. R. (1986). “Bounding surface plasticity: II. Application to isotropic cohesive soils.”J. Engrg. Mech., ASCE, 112(12), 1263–1291.
8.
Fletcher, R. (1980). Practical methods of optimization, Vol. 1: Unconstrained Optimization, Wiley, New York.
9.
Herrmann, L. R. (1999). “Finite element modelling of a class of nonlinear, steady state problems in geotechnical engineering.” Res. Rep., Dept. of Civ. and Envir. Engrg., University of California, Davis, Davis, Calif.
10.
Herrmann, L. R., and Lee, Y. S. (1995). “Fine element investigation of the disturbance produced by the sampling tube device.” Res. Rep., Dept. of Civ. and Envir. Engrg., University of California, Davis, Davis, Calif.
11.
Herrmann, L. R., and Mello, J. (1994). “Investigation of an alternative finite element procedure: A one-step, steady-state analysis.” Rep. No. CR 95.001, Dept. of Civ. and Envir. Engrg., University of California, Davis, Davis, Calif.
12.
Holland, J. ( 1997). “Numerical methods for implementing the boundary surface plasticity model for clays.” PhD thesis, University of California, Davis, Davis, Calif.
13.
Houlsby, G. T., Wheeler, A. A., and Norbury, J. (1985). “Analysis of undrained cone penetration as a steady flow problem.” Proc., 5th Int. Conf. on Numer. Methods in Geomechanics, 4, 1767–1773.
14.
Huetink, J. (1982). “Analysis of metal forming processes based on a combined Eulerean-Lagrangean finite element formulation.” Proc., Int. Conf. on Numer. Methods for Industrial Forming Processes, Pineridge, Swansea, U.K., 501–509.
15.
Huetink, J. ( 1986). “On the simulation of thermomechanical forming processes.” PhD thesis, University of Enschede, The Netherlands.
16.
Jeng, F. S. ( 1992). “Deep penetration into frictional materials, with emphasis on rocks.” PhD thesis, Massachusetts Institute of Technology, Cambridge, Mass.
17.
Kiousis, P. D., Voyiadjis, G. Z., and Tumay, M. T. (1988). “A large strain theory and its application in the analysis of the cone penetration mechanism.” Int. J. Numer. and Analytical Methods in Geomechanics, 12, 45–60.
18.
Ladanyi, B. (1963). “Expansion of a cavity in a saturated clay medium.”J. Soil Mech. and Found. Div., ASCE, 89(4), 127–161.
19.
Lunne, T., Robertson, P. K., and Powell, J. J. M. (1997). Cone penetration testing in geotechnical practice, Chapman & Hall, London.
20.
Roscoe, K. H., and Burland, J. B. ( 1968). “On the generalized stress-strain behavior of wet clay.” Engineering Plasticity, Cambridge University Press, 535–609.
21.
Sagaseta, C., and Houlsby, G. T. (1988). “Elastic-plastic incompressible flow around an infinite cone.” Proc., 1st Int. Symp. on Penetration Testing, 2, 933–938.
22.
Sagaseta, C., Whittle, A. N., and Santagata, M. (1997). “Deformation analysis of shallow penetration of clay.” Int. J. Numer. and Analytical Methods in Geomechanics, 21, 687–719.
23.
Sloan, S. W., and Randolph, M. F. (1982). “Numerical prediction of collapse loads using finite element methods.” Int. J. Numer. and Analytical Methods in Geomechanics, 6, 47–76.
24.
Teh, C. I., and Houlsby, G. T. (1991). “An analytical study of the cone penetration test in clay.” Géotechnique, London, 41(1), 17–34.
25.
van den Berg, P. ( 1994). “Analysis of soil penetration.” PhD thesis, Delft University of Technology, Delft, The Netherlands.
26.
Whittle, A. J. (1992). “Constitutive modelling for deep penetration problems in clay.” Proc., 3rd Int. Conf. on Computational Plasticity: Fundamentals and Applications, 2, 883–894.
27.
Whittle, A. J. (1993). “Evaluation of a constitutive model for overconsolidated soil.” Géotechnique, London, 43(2), 289–313.
28.
Yu, H. S. (1998). “CASM: A unified state parameter model for clay and sand.” Int. J. Numer. and Analytical Methods in Geomechanics, 22, 621–653.
29.
Yu, H. S., Houlsby, G. T., and Burd, H. J. (1993). “A novel isoparametric finite element displacement formulation for axisymmetric analysis of nearly incompressible materials. Int. J. Numer. Methods in Engrg., 36, 2453–2472.
30.
Yu, H. S., and Mitchell, J. K. (1998). “Analysis of cone resistance: Review of methods.”J. Geotech. and Geoenvir. Engrg., ASCE, 124(2), 140–149.
31.
Zienkiewicz, O. C., and Taylor, R. L. (1991). The finite element method, McGraw-Hill, New York.
Information & Authors
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 126 • Issue 7 • July 2000
Pages: 594 - 605
History
Received: Apr 20, 1998
Published online: Jul 1, 2000
Published in print: Jul 2000
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