Double‐Yield‐Surface Cam‐Clay Plasticity Model. I: Theory
Publication: Journal of Geotechnical Engineering
Volume 116, Issue 9
Abstract
A constitutive model for the stress‐strain‐time behavior of cohesive soils is developed using Cam‐clay plasticity theory extended to include time‐dependent effects. The model adopts the concept of separating the total deformation into immediate and delayed components. The immediate plastic deformation is evaluated by employing the associative flow rule on each of two distinct yield surfaces defined by the ellipsoid of the modified Cam‐clay theory and the Von Mises cylinder inscribed in the Cam‐clay ellipsoid. The delayed component of deformation is evaluated by employing the normality rule on equivalent ellipsoidal and cylindrical yield surfaces associated with the current state of stress of the soil and forcing the resulting creep strain rate tensor to satisfy phenomenological creep laws. In a companion paper by the same writers, the resulting constitutive equation is shown to predict the stress‐strain‐time behavior of wet clays more accurately than an earlier version based on a single‐yield‐surface formulation.
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References
1.
Bjerrum, L. (1967). “Engineering geology of Norwegian normally consolidated marine clays as related to settlements of buildings.” Geotechnique, London, England, 17(2), 83–117.
2.
Bonaparte, R. (1981). “A time‐dependent constitutive model for cohesive soils,” thesis presented to the University of California, Berkeley, at Berkeley, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Borja, R. I., and Kavazanjian, E., Jr. (1984). “Finite element analysis of time‐dependent behavior of soft clays.” Geotech. Engrg. Res. Report No. GT4, Stanford Univ., Stanford, Calif.
4.
Borja, R. I., and Kavazanjian, E., Jr. (1985). “A constitutive model for the stress‐strain‐time behaviour of ‘wet’ clays.” Géotechnique, London, England, 35(3), 283–298.
5.
Borja, R. I., Hsieh, H. S., and Kavazanjian, E., Jr. (1990). “Double‐yield‐surface model. II: Implementation and verification.” J. Geotech. Engrg., ASCE, 116(9), 1402–1421.
6.
Duncan, J. M., and Chang, C. Y. (1970). “Nonlinear analysis of stress and strain in soils.” J. Soil Mech. Found. Div., ASCE, 96(5), 1629–1653.
7.
Hill, R. (1950). The mathematical theory of plasticity. Oxford University Press, Oxford, England.
8.
Hsieh, H. S., and Kavazanjian, E., Jr. (1987). “A non‐associative Cam‐clay plasticity model for the stress‐strain‐time behavior of soft clays.” Geotech. Engrg. Res. Report No. GT4, Department of Civil Engineering, Stanford Univ., Stanford, Calif.
9.
Kavazanjian, E., Jr., Mitchell, J. K. (1980). “Time‐dependent deformation behavior of clays.” J. Geotech. Engrg. Div., ASCE, 106(6), 611–630.
10.
Kondner, R. L. (1963). “Hyperbolic stress‐strain response: Cohesive soils.” J. Soil Mech. Found. Div., ASCE, 106(6), 611–630.
11.
Ladd, C. C., and Foott, R. (1974). “New design procedure for stability of soft clays.” J. Geotech. Engrg. Div., ASCE, 100(7), 763–786.
12.
Loudon, P. A. (1967). “Some deformation characteristics of kaolin,” thesis presented to Cambridge University, at Cambridge, England, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
13.
Roscoe, K. H., Schofield, A. N., and Thurairajah, A. (1963). “Yielding of clays in state wetter than critical.” Géotechnique, London, England, 13(2), 211–240.
14.
Roscoe, K. H., and Burland, J. B. (1968). “On the generalized stress‐strain behavior of ‘wet’ clay.” Engineering plasticity, J. Heyman and F. A. Leckie, eds., Cambridge University Press, Cambridge, England.
15.
Singh, A., and Mitchell, J. K. (1968). “General stress‐strain‐time functions for soils.” J. Soil Mech. Found. Div., ASCE, 94(1), 21–46.
16.
Wroth, C. P., and Loudon, P. A. (1967). “The correlation of strains within a family of triaxial tests on overconsolidated samples of kaolin.” Proc., 1st Geotech. Conf., Oslo, Norway, 159–163.
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Published In
Journal of Geotechnical Engineering
Volume 116 • Issue 9 • September 1990
Pages: 1381 - 1401
Copyright
Copyright © 1990 ASCE.
History
Published online: Sep 1, 1990
Published in print: Sep 1990
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