Numerical Modeling of Structure‐Frozen Soil/Ice Interaction
Publication: Journal of Cold Regions Engineering
Volume 4, Issue 3
Abstract
A finite element computer code is developed to analyze the creep deformation of frozen media by using a time‐incrementing algorithm and the power‐law constitutive model to describe creep. The accuracy of the code is established by simulating a cavity expansion problem in a thick‐walled cylinder of viscoelastic material, and the deflection of a viscoelastic beam under a vertical load, and comparing the numerical results with the available analytical results. The code is then used to model static‐loaded and penetration‐rate—controlled penetrometer tests on frozen soils, using three indenter shapes. Load‐displacement‐time relationships thus developed could later be useful for interpretation of creep properties in the field. Modeling the interaction between embedded cylindrical foundations and frozen soils shows the strong influence of the creep parameters on the settlement behavior. The code is presented as a convenient tool to obtain a preliminary estimate of the time‐dependent performance of foundation elements on permafrost and ice.
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References
1.
Andersland, O. B., and Anderson, D. M. (1978). Geotechnical engineering for cold regions. McGraw‐Hill Co., New York, N.Y.
2.
de Ruiter, J. (1971). “Electric penetrometer for site investigations.” J. Soil Mech. Found. Div., ASCE, 97(2), 457–472.
3.
Fish, A. M. (1984). “Thermodynamic model of creep at constant stress and constant strain‐rate.” Cold Reg. Sci. Tech., 9, 143–161.
4.
Glen, J. W. (1955). “The creep of polycrystalline ice.” Proc. Roy. Soc. London, Ser. A, 228, 519–538.
5.
Gow, A. J. (1963). “Results in the 309 m borehole at Byrd Station, Antarctica.” J. Glaciology, 4(36), 771–784.
6.
Greenbaum, G. A., and Rubinstein, M. F. (1968). “Creep analysis of axisymmetric bodies using finite elements.” Nuc. Engrg. Des., 7, 379–397.
7.
Hill, R. (1950). The mathematical theory of plasticity. Clarendon Press, Oxford, England.
8.
Hult, J. A. H. (1966). Creep in engineering structures. Blaisdel Publishing Co., Waltham, Mass.
9.
Huneault, P., and Ladanyi, B. (1987). “Resistance of frozen ground to steady cone or pile penetration.” Proc. Sixth Offshore Mech. and Arctic Engrg. Symp., American Society of Mechanical Engineers, IV, Houston, 125–132.
10.
Jacka, T. H. (1984). “The time and strain required for development of minimum strain rates in ice.” Cold Reg. Sci. Tech., 8(3), 261–268.
11.
Johnston, G. H., and Ladanyi, B. (1972). “Field tests of grouted rod anchors in permafrost.” Can. Geotech. J., 9, 176–194.
12.
Klein, J. (1979). “The application of finite elements to creep problems in ground freezing.” Proc. Third Int. Conf. Numer. Meth. Geomech., A. A. Balkema, Rotterdam, the Netherlands, 493–502.
13.
Klein, J., and Jessberger, H. L. (1979). “Creep stress analysis of frozen soils under multiaxial states of stress.” Engrg. Geology, 13, 353–365.
14.
Kjartanson, B. H., et al. (1988). “The creep of ice measured with the pressuremeter.” Can. Geotech. J., 25, 250–261.
15.
Ladanyi, B. (1972). “An engineering theory of creep of frozen soils.” Can. Geotech. J., 9, 63–80.
16.
Ladanyi, B. (1976). “Use of static penetration test in frozen soil.” Can. Geotech. J., 13, 95–110.
17.
Ladanyi, B., and Johnston, G. H. (1973). “Evaluation of in situ creep properties of frozen soils with the pressuremeter.” Second Int. Conf. on Permafrost, Nat. Academy of Sciences, 310–318.
18.
Mellor, M., and Cole, D. M. (1982). “Deformation and failure of ice under constant stress and constant strain rate.” Cold Reg. Sci. Tech., 5(2), 201–219.
19.
Norton, F. H. (1929). Creep of steel at high temperatures. McGraw‐Hill Book Co., New York, N.Y.
20.
Nye, J. F. (1953). “The flow law of ice from glacier tunnels, laboratory experiments, and the Jungfraufirn borehole experiment.” Proc. Roy. Soc. London, Ser. A, 219, 477–489.
21.
Nye, J. F. (1956). “The distribution of stress and velocity in glaciers and ice sheets.” Proc. Roy. Soc. London, Ser. A, 239, 113–133.
22.
Odqvist, F. K. G. (1966). Mathematical theory of creep and creep rupture. Clarendon Press, Oxford, England.
23.
Parameswaran, V. R. (1978). “Adfreeze strength of frozen sand to model piles.” Can. Geotech. J., 15(4), 494–500.
24.
Patterson, W. S. B. (1977). “Secondary and tertiary creep of glacier ice as measured by borehole closure rates.” Rev. Geophys. Space Phys., 15(1), 47–55.
25.
Rowley, R. K., Watson, G. H., and Ladanyi, B. (1973). “Vertical and lateral pile load tests in permafrost.” Second Int. Conf. on Permafrost, Nat. Academy of Sciences, 712–721.
26.
Sayles, F. H. (1968). “Creep of frozen sands.” Tech. Report 190, U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N.H.
27.
Sayles, F. H. (1973). “Triaxial and creep tests on frozen Ottawa sand.” Second Int. Conf. on Permafrost, Nat. Academy of Sciences, 384–391.
28.
Shields, D. H., et al. (1989). “Primary creep parameters for ice as measured in situ.” Cold Reg. Sci. Tech., 16, 281–290.
29.
Sinha, N. K. (1983). “Creep model for monotonically increasing stress.” Cold Reg. Sci. Tech., 8, 25–33.
30.
Timoshenko, S., and Goodier, J. N. (1951). Theory of elasticity. Second Ed., McGraw‐Hill Co., New York, N.Y.
31.
Vyalov, S. S. (1963). “Rheology of frozen soils.” Proc. First Int. Conf. on Permafrost, Nat. Academy of Sciences, 332–339.
32.
Zienkiewicz, O. C. (1977). The finite element method. Third Ed., McGraw‐Hill Co., Maidenhead, Berkshire, England.
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Copyright © 1990 ASCE.
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Published online: Sep 1, 1990
Published in print: Sep 1990
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