Finite Strain Analysis for Deep Cone Penetration
Publication: Journal of Geotechnical Engineering
Volume 117, Issue 10
Abstract
The generalized expressions for the finite and infinitesimal strain components in the spherical and cylindrical polar coordinates have been derived. These expressions are then used to determine the strain components for both incompressible and compressible soils during plane strain conditions and cone penetration. The analysis for strains developed during dummy cone penetration in loose to medium‐dense Edgar sand is performed using displacements measured by the stereo technique. The circumferential strains computed for Edgar sand match those derived for loose Chattahoochee sand. There is a certain depth below which the pile or cone penetrations can be treated as deep penetrations. This depth varies with the relative density of the sand and increases with increase in the relative density. In shallow cone penetrations, the surface of the sand is free to heave, and therefore particles tend to return to their original positions when the tip has penetrated deeper than these particles. In deep penetration, the overburden pressures are significant and do not permit any heave at the surface.
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References
1.
Acar, Y. B., and Tumay, M. T. (1986). “Strain field around cones in steady penetration.” J. Geotech. Engrg., ASCE, 112(2), 207–213.
2.
Al‐Awkati, Z. (1975). “On Problems of soil bearing capacity at depth,” thesis presented to Duke University, at Durham, N.C., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Arthur, J. R. F., and Phillips, A. B. (1975). “Homogeneous and layered sand in triaxial compression.” Geotechnique, 25(4), 799–815.
4.
Baligh, M. M. (1975). “Theory of deep site static cone penetration resistance.” Research Report No. R75‐56, Massachusetts Institute of Technology, Cambridge, Mass., 133.
5.
Baligh, M. M. (1985). “Strain path method.” J. Geotech. Engrg., ASCE, 111(9), 1108–1136.
6.
Baligh, M. M., and Levadoux, J. N. (1980). “Pore pressure after cone penetration.” Sea Grant Report No. 80‐13, Massachusetts Institute of Technology, Cambridge, Mass., 368.
7.
Barreiro, D. (1978). “A study of deformations in sand around a penetrating probe using stereo photography,” thesis presented to the University of Florida at Gainesville, Fla., in partial fulfillment of the degree of Master of Engineering.
8.
Bhushan, K. (1970). “An experimental investigation into expansion of spherical and cylindrical cavities in sand,” thesis presented to Duke University, at Durham, N.C, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
9.
Briaud, J. L., and Tucker, L. M. (1988). “Measured and predicted axial response of 98 piles.” J. Geotech. Engrg., ASCE, 114(9), 984–1001.
10.
Clark, J. I., and Meyerhof, G. G. (1972). “The behavior of piles driven in clay I. An investigation of soil stress and pore water pressure as related to soil properties.” Can. Geotech. J., 9, 351–373.
11.
Davidson, J. L. (1980). “A study of deformations in sand around a penetrated probe using stereo photography.” National Science Foundation Grant No. ENG76‐18849, Department of Civil Engineering, University of Florida, Gainesville, Fla.
12.
Davidson, J. L., and Boghrat, A. (1983). “Displacements and strains around probes in sand.” Proc. of Specialty Conf., Geotechnical Practice in Offshore Engineering, ASCE, 181–202.
13.
Davidson, J. L., Mortensen, R. A., and Barreiro, D. (1981). “Deformations in sand around a cone penetrometer tip.” Proc. 10th Int. Conf. on Soil Mech. Foundation Engrg., Stockholm, Sweden, 467–470.
14.
Eringen, A. C. (1962). Nonlinear theory of continuous media. McGraw‐Hill Book Company, Inc., New York, N.Y.
15.
Fung, Y. C. (1965). Foundations of solid mechanics. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
16.
Greville, T. N. E. (1968). “Data fitting by spline functions.” Contract No. DA‐31‐124‐ARO‐D‐462, Mathematics Research Center, U.S. Army, University of Wisconsin, Madison, Wis.
17.
Greville, T. N. E. (1967). “Spline functions, interpolation, and numerical quadrature.” Mathematical methods for digital computers. A. Ralston and H. S. Wilf, eds., John Wiley and Sons, New York, N.Y.
18.
Gupta, R. C., and Davidson, J. L. (1986). “Piezoprobe determined coefficient of consolidation.” Japan. Soc. Soil Mech. Found. Engrg., 26(3), 12–22.
19.
Gupta, R. C. (1983). “Determination of the insitu coefficients of consolidation and permeability of submerged soils using electrical piezoprobe soundings,” thesis presented to the University of Florida, at Gainesville, Fla., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
20.
Kerisel, J. (1961). “Fondations profondes en milieu sableux.” Proc. Fifth Int. Conf. Soil Mech. Found. Engrg., 2, 73–83.
21.
Novozhilov, V. V. (1953). Foundations of the non‐linear theory of elasticity. Graylock Press, Rochester, N.Y.
22.
Randolph, M. F., Steenfelt, J. S., and Wroth, C. P. (1979). “The effect of pile type of design parameters for driven piles.” Proc. 7th European Conf. on Soil Mechanics and Foundation Engineering, Brighton, England.
23.
Robinsky, E. I., and Morrison, C. F. (1964). “Sand displacement and compaction around model friction piles.” Can. Geotech. J., 1(2), 81–93.
24.
Rourk, T. L. (1961). “Model studies of a pile failure surface in a cohesive soil,” thesis presented to the Georgia Institute of Technology, Atlanta, Ga., in partial fulfillment of the requirements for the degree of Master of Science.
25.
Sayed, M. S. (1989). “Alternate analysis of pressuremeter test.” J. Geotech. Engrg., ASCE, 115(12), 1769–1786.
26.
Schmertmann, J. H. (1978). “Guidelines for cone penetration test: performance and design.” FHWA‐TS‐209, U.S. Department of Transportation, Federal Highway Administration, Washington, D.C.
27.
Steenfelt, J. S., Randolph, M. F., and Wroth, C. P. (1981), “Model tests on instrumented piles jacked into clay.” Proc. 10th Int. Conf. Soil Mech. Found. Engrg., Stockholm, Sweden, 857–864.
28.
Vesic, A. S. (1967). “Astudy of bearing capacity of deep foundations.” Final Report, Project B‐189, Georgia Institute of Technology, Atlanta, Ga.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 117 • Issue 10 • October 1991
Pages: 1610 - 1630
Copyright
Copyright © 1991 ASCE.
History
Published online: Oct 1, 1991
Published in print: Oct 1991
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