TECHNICAL PAPERS
Nov 15, 2004

Performance of a Three-Dimensional Hvorslev–Modified Cam Clay Model for Overconsolidated Clay

Publication: International Journal of Geomechanics
Volume 4, Issue 4

Abstract

It is well established that critical state soil mechanics provides a useful theoretical framework for constitutive modeling of soil. Most of the critical state models, including the popular modified Cam clay (MCC) model, predict soil behavior in the subcritical region fairly well. However, the predictions for heavily overconsolidated soils, in the supercritical region, are not so satisfactory. Furthermore, the critical state models were developed from triaxial test data and extension of these models into three-dimensional (3D) stress space has not been investigated thoroughly. In the present work, experiments were carried out to obtain stress–strain behavior of overconsolidated soil in triaxial compression, extension, and plane strain conditions. A novel biaxial device has been developed to conduct the plane strain tests. The experimental results were used to formulate Hvorslev–MCC model which has MCC features in the subcritical region and Hvorslev surface in the supercritical region. The model was generalized to 3D stress space using the Mohr–Coulomb failure criterion. A comparison of the model predictions with test results has indicated that the Hvorslev–MCC model performs fairly well up to the peak supercritical point, during which deformations are fairly uniform and the specimens remain reasonably intact. Limitations of this simple model in predicting postpeak localization are also discussed. The model’s predictions for volumetric response in different shear modes seem to agree reasonably well with test results.

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References

1.
Abelev, A. V., and Lade, P. V. (2003). “Effects of crossanisotropy on three-dimensional behavior of sand. I: Stress–strain behavior and shear banding.” J. Eng. Mech., 129(2), 160–166.
2.
Allman, M. A., and Atkinson, J. H. (1992). “Mechanical properties of reconstituted Bothkennar soil.” Geotechnique, 42(2), 289–309.
3.
Atkinson, J.H., and Bransby, P.L. ( 1982). “The mechanics of soils: An introduction to critical state soil mechanics.” McGraw–Hill, New York.
4.
Atkinson, J. H., and Richardson, D. (1987). “The effect of local drainage in shear zones on the undrained strength of over consolidated clay.” Geotechnique, 37(3), 393–403.
5.
Baladi, G.Y., and Sandler, I.S. ( 1980). “Examples of the use of the cap model for saturated sand subjected to monotonic and/or cyclic loading.” Proc. 3rd Int. Conf. Numer. Meth. Geomech., W. Wittke, ed., Aachen, Balkema, Rotterdam, The Netherlands, 389–404.
6.
Bazant, Z. P. (1976). “Instability, ductility, and size effect in strain-softening concrete.” J. Eng. Mech., 102(2), 331–344.
7.
Bazant, Z. P., and Oh, B. (1983). “Crack band theory for fracture of concrete.” Mater. Constr. (Paris), 16, 155–177.
8.
Bishop, A. W. (1966). “Strength of soils as engineering materials.” 6th Rankine Lecture, Geotechnique, 16, 89–130.
9.
Bolton, M. D. (1986). “Strength and dilatancy of sands.” Geotechnique, 36, 65–78.
10.
Brinkgreve, R.B. J., and Vermeer, P.A. ( 1994). “A new effective non-local strain-measure for softening plasticity.” Localization and bifurcation theory for soils and rocks, Grenoble, Chambon, ed., Balkema, Rotterdam, The Netherlands, 89–100.
11.
Britto, A.M., and Gunn, M.J. ( 1987). “Critical state soil mechanics via finite elements, Ellis Horwood, Chichester.
12.
Burland, J. B., Rampello, S., Georgiannou, V. N., and Calabresi, G. (1996). “A laboratory study of the strength of four stiff clays.” Geotechnique, 46(3), 491–514.
13.
Calladine, C. R. (1963). Correspondence on Geotechnique, 13, 250–255.
14.
Cornforth, D. H. (1964). “Some experiments on the effect of strain condition on the strength of sand.” Geotechnique, 14, 143–167.
15.
Dasari, G.R. ( 1996). “Modelling the variation of soil stiffness during sequential excavation.” PhD thesis, Cambridge Univ., U.K.
16.
Desai, C.S. ( 2001). Mechanics of materials and interfaces: The disturbed state concept, CRC Press, Boca Raton, Fla., ISBN 084930248X.
17.
Drucker, D. C., Gibson, R. E., and Henkel, D. J. (1957). “Soil mechanics and work hardening theories of plasticity.” Trans. Am. Soc. Civ. Eng., 122, 338–346.
18.
Gens, A. ( 1982). “Stress–strain and strength of a low plasticity clay.” PhD thesis, Imperial College, Univ. of London, U.K.
19.
Gens, A., and Potts, D.M. ( 1987). “The use of critical state models in numerical analysis of geotechnical problems: A review.” Computational plasticity, Owen, Hinton, and Onate, eds., Pineridge, Swansea, U.K, 1491–1525.
20.
Green, G.E. ( 1971). “Strength and deformation of sand measured in an independent stress control cell.” Stress–strain behavior of soils, Proc. Roscoe Memorial Symp., Cambridge, U.K, 285–323.
21.
Hibbit, Karlsson, and Sorenson. ABAQUS user’s manual—version 5.5 ( 1995). Pawtucket, R.I.
22.
Hight, D.W. ( 1998). “Anisotropy in soils—Its measurement and practical implication.” 2nd GRC Lecture, Nanyang Technological Univ., Singapore.
24.
Houlsby, G.T., Wroth, C.P., and Wood, D.M. ( 1982). “Predictions of the results of laboratory tests on a clay using a critical state model.” Proc. Int. Workshop on Constitutive Behavior of Soils, Grenoble, Balkema, Rotterdam, The Netherlands, 99–121.
25.
Hvorslev, M.J. ( 1937). “Über die festigkeitseigenschaften gestörter.” Bindiger Böden, Copenhagen.
26.
Lade, P. V., and Duncan, J. M. (1975). “Elastoplastic stress–strain theory for cohesionless soil.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 101(10), 1037–1053.
27.
Lade, P. V., and Abelev, A. V. (2003). “Effects of cross-anisotropy on three-dimensional behavior of sand. II: Volume change behavior and failure.” J. Eng. Mech., 129(2), 167–174.
28.
Loret, B., and Prevost, J. H. (1990). “Dynamic strain localization in elastoviscoplastic solids. I: General formulation and one-dimensional examples.” Comput. Methods Appl. Mech. Eng., 83, 247–273.
29.
Matsuoka, H., and Nakai, T. (1974). “Stress-deformation and strength characteristics under three different principal stress.” Proc., JSCE, 232, 59–70.
30.
Mita, K.A. ( 2002). “Constitutive testing of soil on the dry side of critical state.” PhD thesis (submitted), National Univ. of Singapore.
31.
Mühlhaus, H.-B., and Vardoulakis, I. (1987). “The thickness of shear bands in granular materials.” Geotechnique, 37, 271–283.
32.
Mühlhaus, H.-B., and Aifantis, E. C. (1991). “A variational principle for gradient plasticity.” Int. J. Solids Struct., 28, 845–858.
33.
Nagaraj, T.S., and Somashekar, B.V. ( 1979). “Stress deformation and strength of soils in plane strain.” Proc., 6th Asian Regional Conf. on Soil Mechanics and Foundation Engineering, Singapore, 1, 43–46.
34.
Needleman, A. (1988). “Material rate dependence and mesh sensitivity on localization problems.” Comput. Methods Appl. Mech. Eng., 67, 69–86.
35.
Ohta, H., Nishihara, A., and Morita, Y. ( 1985). “Undrained stability of Ko consolidated clays.” Proc., 11th ICSMFE, 2, San Francisco, 613–617.
36.
Parry, R. H. G. (1960). “Triaxial compression and extension tests on remoulded saturated clay.” Geotechnique, 10, 166–180.
37.
Pender, M. J. (1978). “A model for the behavior of overconsolidated soil.” Geotechnique, 28, 1–25.
38.
Pietruszczak, S. T., and Mroz, Z. (1981). “Finite element analysis of deformation of strain softening materials.” Int. J. Numer. Methods Eng., 17, 327–334.
39.
Potts, D. M., and Gens, A. (1984). “The effect of the plastic potential in boundary value problems involving plane strain deformation.” Int. J. Numer. Analyt. Meth. Geomech., 8, 259–286.
40.
Potts, D.M., and Zdravkovic, L. ( 1999). Finite element analysis in geotechnical engineering: Theory, Thomas Telford, London.
41.
Roscoe, K. H., Schofield, A. N., and Wroth, C. P. (1958). “On the yielding of soils.” Geotechnique, 8, 22–52.
42.
Roscoe, K.H., and Burland, J.B. ( 1968). “On the generalized stress-strain behavior of “wet” clay.” Eng. plasticity, Cambridge University, U.K, 535–609.
43.
Schofiled, A. N. (1980). “Cambridge University geotechnical operations.” Geotechnique, 30(3), 227–268.
44.
Sharma, J. ( 1994). “Behavior of embankments on soft clay.” PhD thesis, Cambridge University, U.K.
45.
Siriwardane, H.J., and Desai, C.S. ( 1981). “Evaluation of constitutive parameters for geologic media: Modified Cam clay and cap models.” Proc., Workshop Session, Symp. Implementation of Computer Procedures and Stress–Strain Laws in Geotechnical Engineering, Chicago.
46.
Tanaka, T., Yasunaka, M., and Tani, Y.S. ( 1986). “Seismic response and liquefaction of embankments—Numerical solution and shaking table tests.” 2nd Int. Symp. Num. Mod. In Geomech., Ghent, 679–686.
47.
Tanaka, T., Abe, T., and Watanabe, D. ( 2001). “Elastoplastic finite element analysis of direct shear test on sand.” Comput. Methods Adv. Geomechan., Desai et al., eds, Balkema, Rotterdam, The Netherlands, 985–988.
48.
Vaid, Y. P., and Campanella, R. G. (1974). “Triaxial and plane strain behavior of natural clay.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 100(3), 207–224.
49.
Vaid, Y. P., and Sasitharan, S. (1992). “The strength and dilatancy of sand.” Can. Geotech. J., 29, 522–526.
50.
Viggiani, G., Finno, R.J., and Harris, W.W. ( 1994). “Experimental observations of strain localization in plane strain compression of a stiff clay.” Localisation and bifurcation theory for soils and rocks, Chambon et al., eds., Balkema, Rotterdam, The Netherlands, 189–198.
51.
Wroth, C.P., and Houlsby, G.T. ( 1985). “Soil mechanics—Property characterization and analysis procedures.” Proc. 11th Int. Conf. SMFE, 1, San Francisco 1–55.
52.
Wu, F. H., and Freund, L. B. (1984). “Deformation trapping due to thermoplastic instability in one-dimensional wave propagation.” J. Mech. Phys. Solids, 32(2), 119–132.
53.
Zdravkovic, L. (1997) “Some anistropic stiffness characteristics of a silt under general stress conditions.” Geotechnique, 47(3), 407–437.
55.
Zienkiewicz, O.C., and Naylor, D.J. ( 1973). “Finite element studies of soils and porous media.” Lect. Finite elements in continuum mechanics, Oden and de Arantes, eds., UAH Press, 459–493.

Information & Authors

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Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 4Issue 4December 2004
Pages: 296 - 309

History

Published online: Nov 15, 2004
Published in print: Dec 2004

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Authors

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K. A. Mita
Research Scholar, Dept. of Civil Engineering, National Univ. of Singapore, Singapore 117576.
G. R. Dasari
Senior Research Engineer, ExxonMobil Upstream Research Company, Houston, TX 77252-2189.
K. W. Lo
Associate Professor, Dept. of Civil Engineering, National Univ. of Singapore, Singapore 117576.

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