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Development of Time Dependent Stress-Strain Simulation of Clay

Published online by Cambridge University Press:  05 May 2011

C.-Y. Ou*
Affiliation:
Department of Construction Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10607, R.O.C.
C.-C. Liu*
Affiliation:
Trinity Consulting Firm, Taipei, Taiwan 10553, R.O.C.
C.-K. Chin*
Affiliation:
Department of Construction Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10607, R.O.C.
*
*Professor
**Engineer
***Graduate student
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Abstract

The objective of this study is to derive a time dependent effective based constitutive law on the basis of framework of the Modified Cam-Clay model. This model takes into account the anisotropic characteristics and creep behavior, based on the theory of viscoplasticity. The model sets the initial yield surface symmetric to the Ko line for modeling the initial Ko condition. A method is then developed to compute the gyration and expansion of the loading surface to simulate the anisotropic behavior due to the principal stress gyration after shear. The creep or time dependent behavior is considered in the model by adopting Kutter and Sathialingam's model, which was derived from Taylor's secondary consolidation theory and Bjerrum's delayed compression model. Compared with the Modified Cam-Clay model, the model requires five additional parameters to describe the soil behavior. All of the additional parameters can be obtained through conventional soil tests or parametric studies. The model is evaluated through a series of simulation of undrained shear tests and undrained creep tests.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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References

1.Singh, A. and Mitchell, J. K., “General Stress-Strain-Time Function for Soils,” Journal of Soil Mechanics and Foundation Division, ASCE, 94, pp. 2146 (1968).CrossRefGoogle Scholar
2.Semple, R. M., “The Effect of Time-Dependent Properties of Altered Rock on the Tunnel Support Requirement,” Ph.D Dissertation, University of Illinois (1973).Google Scholar
3.Mesri, G., Febres-Covdero, E., Shields, D. R. and Castro, A., “Shear Stress-Strain-Time Behavior of Clays,” Geotechnique, 31, pp. 537552 (1981).CrossRefGoogle Scholar
4.Borja, R. I. and Kavazanjian, E., “A Constitutive Model for the Stress-Strain-Time Behavior of Wet Clays,” Geotechnique, 35, pp. 283298 (1985).CrossRefGoogle Scholar
5.Hsieh, H. S., Kavazanjian, E. and Borja, R. I., “Double-Yield-Surface Cam Clay Plasticity Model. I: Theory,” Journal of Geotechnical Engineering, ASCE, 116, pp. 138114011 (1990).CrossRefGoogle Scholar
6.Perzyna, P., “The Constitutive Equations for Rate Sensitive Plastic Materials,” Quarterly of Applied Mathematics, 20, pp. 321332 (1963).CrossRefGoogle Scholar
7.Desai, C. S. and Zhang, D., “Visco Plastic Model for Geologic Materials with Generalized Flow Rule,” International Journal for Numerical and Analytical Methods in Geomechanics, 11, pp. 603620 (1987).CrossRefGoogle Scholar
8.Kutter, B. L. and Sathialingam, N., “Elastic-Viscoplastic Modeling of the Rate-Dependent Behavior of Clays,” Geotechnique, 42, pp. 427441 (1992).CrossRefGoogle Scholar
9.Tavenas, F., Leroueil, S., Rochelle, L. and Roy, M., “Creep Behavior of an Undisturbed Lightly Overconsolidated Clay,” Canadian Geotechnical Journal, 15, pp. 402423 (1978).CrossRefGoogle Scholar
10.Wood, D. M., “True Triaxial Tests on Boston Blue Clay,” Proceedings of 10th International Conference on Numerical Methods in Geomechanics, Aachen, 3, pp. 435439 (1979).Google Scholar
11.Kavvadas, M. J., “Non-linear Consolidation Around Driven Piles in Clays,” Ph.D Dissertation, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA. (1982).Google Scholar
12.Whittle, A. J. and Kavvadas, M. J., “Formulation of the MIT-E3 Constitutive Model for Overconsolidated Clay,” Journal of Geotechnical Engineering, ASCE, 120, pp. 173198 (1994).CrossRefGoogle Scholar
13.Dafalias, Y. F. and Herrmann, L. R., “A Bounding Surface Formulation of Soil Plasticity,” Soil Mechanics Transient and Cyclic Loads, Pande and Zienkiewicz, Eds., LondonWiley, pp. 253282 (1982).Google Scholar
14.Bjerrum, L. E., “Engineering Geology of Norwegian Normally Consolidated Marine Clays as Related to Settlements of Buildings,” Geotechnique, 17, pp. 81118 (1967).CrossRefGoogle Scholar
15.Ziegler, H., “A Modification of Prager's Hardening Rule,” Quarterly of Applied Mathematics, 17, pp. 5565 (1959).CrossRefGoogle Scholar
16.Ganendra, D. and Potts, D. M., “Evaluation of a Constitutive Model for Overconsolidated Clays,” Geotechnique, 45, pp. 169173 (1995).Google Scholar
17.Liu, C. C., “A Generalized Effective Stress Constitutive Model for Taipei Clay,” Ph.D Dissertation, National Taiwan University of Science and Technology (1999).Google Scholar
18.Chin, C. T. and Liu, C. C., “Volumetric Change and Undrained Behavior of the Taipei Silty Clay,” Journal of the Chinese Institute of Civil and Hydraulic Engineering, 9, pp. 665678 (1997).Google Scholar
19.Liu, C. C., Chin, C. T. and Hsieh, H. S., “Effect of Anisotropic Consolidation and Principal Stress Rotation on the Undrained Shear Strength of the Taipei Sungshan Clay,” Journal of the Chinese Institute of Civil and Hydraulic Engineering, 3, pp. 8388 (1991).Google Scholar
20.Chin, C. T., Crooks, J. H. A. and Moh, Z. C., “Geotechnical Properties of the Cohesive Sungshan Deposits, Taipei,” Geotechnical Engineering Journal, Southeast Asian Geotechnical Society, 25, pp. 77103 (1994).Google Scholar
21.Tsai, Z. L., “An Investigation of the Creep and the Stress-Strain-Strain Rate of Clay Under the Undrained Condition,” Master Thesis, National Taiwan Institute of Technology (1997).Google Scholar