Technical Papers
Aug 4, 2017

Elastic-Viscoplastic Model for Clays: Development, Validation, and Application

Publication: Journal of Engineering Mechanics
Volume 143, Issue 10

Abstract

This paper presents an elastic-viscoplastic (EVP) constitutive model in triaxial space and general stress space for isotropic clays. The EVP model is anchored in bounding surface theory along with the mapping rule and adopts a critical-state soil mechanics framework. It incorporates creep effects, and a nonlinear creep function is used in the model. The EVP deformation of clay is integrated considering a reference surface and loading surface. An image parameter is deduced to establish the image surface. The strain-rate tensor of the model contains an elastic-strain-rate tensor and viscoplastic-strain-rate tensor. The model formulation is capable of accounting for composite as well as single-surface ellipses. Parameters of the model can be extracted from conventional oedometer and triaxial tests. The model performance is validated by capturing the behaviors in creep tests, relaxation tests, strain-rate effect tests, and overconsolidation ratio effect tests on Kaolin clay, Hong Kong Marine Deposit clay, and Fukakusa clay. The model is also implemented in a finite-element (FE) code and used to predict the long-term performance of the Nerang Broadbeach Roadway embankment constructed in Australia. The long-term settlement prediction of this embankment is also compared with that obtained from the modified Cam clay (MCC) model. Pertinent details of the theoretical framework of the proposed EVP model along with its validation, FE implementation, and field application are discussed in this paper.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The first author was supported by the Tuition Fee Scholarship (TFS) while conducting his Doctoral research at UNSW, Canberra, Australia. Also, the authors wish to express their gratitude to Dr. Rajibul Karim, former Ph.D. student, UNSW, Canberra, for his valuable comments and discussions.

References

Adachi, T., and Oka, F. (1982). “Constitutive equations for normally consolidated clay based on elasto-viscoplasticity.” Soils Found., 22(4), 57–70.
Alonso, E. E., Gens, A., and Lloret, A. (2000). “Precompression design for secondary settlement reduction.” Geotechnique, 50(6), 645–656.
Atkinson, J. (2007). “Peak strength of overconsolidated clays.” Geotechnique, 57(2), 127–135.
Bjerrum, L. (1967). “Engineering geology of Norwegian normally consolidated marine clays as related to settlements of buildings.” Geotechnique, 17(2), 83–118.
Borja, R. I., and Kavazanjian, J. E. (1985). “A constitutive model for the stress-strain & time behaviour of ‘wet’ clays.” Geotechnique, 35(3), 283–298.
Carter, J. P., and Balaam, N. P. (1995). “AFENA user’s manual. Version 5.0.” Center for Geotechnical Research, Univ. of Sydney, Sydney, Australia.
Dafalias, Y. F., and Herrmann, L. R. (1982). “Bounding surface formulation of soil plasticity.” Soil mechanics—Transient and cyclic loads, G. N. Pande O. C. Zienkiewicz, eds., Wiley, Chichester, U.K., 253–282.
Dafalias, Y. F., and Herrmann, L. R. (1986). “Bounding surface plasticity. II: Application to isotropic cohesive soils.” J. Eng. Mech., 1263–1291.
Dafalias, Y. F., and Popov, E. P. (1975). “A model of non-linearly hardening materials for complex loadings.” Acta Mechanica, 21(3), 173–192.
Gnanendran, C. T., Manivannan, G., and Lo, S. C. R. (2006). “Influence of using a creep, rate, or an elastoplastic model for predicting the behaviour of embankments on soft soils.” Can. Geotech. J., 43(2), 134–154.
Graham, J., Crooks, J. H. A., and Bell, A. L. (1983). “Time effects on the stress-strain behaviour of natural soft clays.” Geotechnique, 33(3), 327–340.
Herrmann, L. R., Shen, C. K., Jafroudi, S., DeNatale, J. S., and Dafalias, Y. F. (1982). “A verification study for the bounding surface plasticity model for cohesive soils.”, Naval Civil Engineering Laboratory, Port Hueneme, CA.
Hickman, R. J., and Gutierrez, M. S. (2007). “Formulation of a three-dimensional rate-dependent constitutive model for chalk and porous rocks.” Int. J. Numer. Anal. Methods Geomech., 31(4), 583–605.
Islam, M. N. (2014). “Associated and non-associated flow rule based elastic-viscoplastic models for clays.” Ph.D. thesis, Univ. of New South Wales, Canberra, Australia.
Islam, M. N., Gnanendran, C. T., and Sivakumar, S. T. (2015). “Prediction of embankment time-dependent behaviour of on soft soils: Effects of preloading, surcharging and the choice of lab versus field test data for soft soil parameters.” Chapter 13, Ground improvement case histories, Vol. 1, B. Indraratna, J. Chu, and C. Rujikiatkamjorn, eds., Butterworth-Heinemann, Oxford, U.K., 359–379.
Islam, M. N., Gnanendran, C. T., Sivakumar, S. T., and Karim, M. R. (2013). “Long-term performance of a preloaded road embankment.” Proc., 18th Int. Conf. on Soil Mechanics and Geotechnical Engineering, D. Pierre, D. Jacques, F. Roger, P. Alain, and S. Francois, eds., Presses des Ponts, Paris, 1291–1294.
Kaliakin, V., and Leal, A. N. (2013). “Investigation of critical states and failure in true triaxial tests of clays.” Constitutive modeling of geomaterials, Springer, Berlin, 185–191.
Karim, M. R., Gnanendran, C. T., Lo, S. C. R., and Mak, J. (2010). “Predicting the long-term performance of a wide embankment on soft soil using an elastic-viscoplastic model.” Can. Geotech. J., 47(2), 244–257.
Kumruzzaman, M., and Yin, J.-H. (2012). “Influence of the intermediate principal stress on the stress-strain–strength behaviour of a completely decomposed granite soil.” Geotechnique, 62(3), 275–280.
Kutter, B. L., and Sathialingam, N. (1992). “Elastic-viscoplastic modelling of the rate-dependent behaviour of clays.” Geotechnique, 42(3), 427–441.
Lo, S. R., Karim, M. R., and Gnanendran, C. T. (2013). “Consolidation and creep settlement of embankment on soft clay: Prediction versus observation.” Geotechnical predictions and practice in dealing with geohazards, J. Chu, S. P. R. Wardani, and A. Iizuka, eds., Springer, Dordrecht, Netherlands, 77–94.
Main Roads. (2001). “Additional geotechnical investigation for the proposed western RSS wall area, Nerang-Broadbeach deviation, Gooding’s corner.”, Queensland Dept. of Transport, Atherton, Australia.
Maranini, E., and Yamaguchi, T. (2001). “A non-associated viscoplastic model for the behaviour of granite in triaxial compression.” Mech. Mater., 33(5), 283–293.
Matsuoka, H., and Nakai, T. (1974). “Stress deformation and strength characteristics of soil under three different principal stresses.” Proc., Japanese Society of Civil Engineering, Japan Society of Civil Engineers, Japan, 59–70.
Matsuoka, H., and Sun, D. A. (2006). The SMP concept-based 3D constitutive models for geomaterials, Taylor & Francis, New York.
Matsuoka, H., Yao, Y.-P., and Sun, D. A. (1999). “The Cam clay models revised by the SMP criterion.” Soils Found., 39(1), 81–95.
McDowell, G. R., and Hau, K. W. (2003). “A simple non-associated three surface kinematic hardening model.” Geotechnique, 53(4), 433–437.
Mesri, G., and Castro, A. (1987). “Cα/Cc concept and K0 during secondary compression.” J. Geotech. Eng., 230–247.
Mroz, Z. (1967). “On the description of anisotropic work hardening.” J. Mech. Phys. Solids, 15(3), 163–175.
Murakami, Y. (1979). “Excess pore-water pressure and preconsolidation effect developed in normally consolidated clays of some age.” Soils Found., 19(4), 17–29.
Nash, D. F. T. (2001). “Discussion: Precompression design for secondary settlement reduction.” Geotechnique, 51(9), 822–826.
Oka, F., Adachi, T., and Okano, Y. (1986). “Two-dimensional consolidation analysis using an elasto-viscoplastic constitutive equation.” Int. J. Numer. Anal. Methods Geomech., 10(1), 1–16.
Perzyna, P. (1963). “Constitutive equations for rate-sensitive plastic materials.” Q. Appl. Math., 20(4), 321–332.
Prashant, A., and Penumadu, D. (2005). “A laboratory study of normally consolidated kaolin clay.” Can. Geotech. J., 42(1), 27–37.
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, U.K., 535–609.
Roscoe, K. H., and Schofield, A. N. (1963). “Mechanical behavior of an idealised ‘wetclay’.” Proc., 2nd European Conf. of Soil Mechanics and Foundation Engineering, Vol. 1, German Society of Soils and Foundations, Wiesbaden, Germany, 47–54.
Sheng, D., Sloan, W. S., and Yu, S. H. (2000). “Aspects of finite element implementation of critical state models.” Comput. Mech., 26(2), 185–196.
Whittle, A., and Kavvadas, M. (1994). “Formulation of MIT-E3 constitutive model for overconsolidated clays.” J. Geotech. Eng., 173–198.
Willam, K. J., and Warnke, E. P. (1975). “Constitutive model for the triaxial behaviour of concrete.” ISMES Seminar on Concrete Structures Subjected to Triaxial Stress, ETH-Bibliothek, Zürich, Switzerland, 1–30.
Xiao, Y., Sun, Y., Liu, H., and Yin, F. (2016). “Critical state behaviors of a coarse granular soil under generalized stress conditions.” Granular Matter, 18(2), 17.
Yao, Y.-P., Kong, L.-M., Zhou, A.-N., and Yin, J.-H. (2015). “Time-dependent unified hardening model: Three-dimensional elastoviscoplastic constitutive model for clays.” J. Eng. Mech., 04014162.
Yao, Y.-P., and Sun, D. A. (2000). “Application of Lade’s criterion to Cam-clay model.” J. Eng. Mech., 112–119.
Yao, Y.-P., and Wang, N.-D. (2014). “Transformed stress method for generalizing soil constitutive models.” J. Eng. Mech., 614–629.
Ye, G.-L., Ye, B., and Zhang, F. (2014). “Strength and dilatancy of overconsolidated clays in drained true triaxial tests.” J. Geotech. Geoenviron. Eng., 06013006.
Yin, J. H. (1999). “Non-linear creep of soils in odeometer tests.” Geotechnique, 49(5), 699–707.
Yin, J. H., and Zhu, J. G. (1999). “Measured and predicted time-dependent stress-strain behaviour of Hong Kong marine deposits.” Can. Geotech. J., 36(4), 760–766.
Yin, J. H., Zhu, J. G., and Graham, J. (2002). “A new elastic viscoplastic model for time-dependent behaviour of normally and overconsolidated clays: Theory and verification.” Can. Geotech. J., 39(1), 157–173.
Yin, Z., Xu, Q., and Yu, C. (2015). “Elastic-viscoplastic modeling for natural soft clays considering nonlinear creep.” Int. J. Geomech., A6014001–A6014010.
Yu, H. S. (2006). Plasticity and geotechnics, Springer, New York.
Zhu, J. G. (2000). “Experimental study and elastic visco-plastic modelling of the time-dependent stress-strain behaviour of Hong Kong marine deposits.” Ph.D. thesis, Dept. of Civil and Structural Engineering, Hong Kong Polytechnic Univ., Hung Hom, Hong Kong.
Zienkiewicz, O. C., Humpheson, C., and Lewis, R. W. (1975). “Associated and non-associated visco-plasticity and plasticity in soil mechanics.” Geotechnique, 25(4), 671–689.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 10October 2017

History

Received: Mar 7, 2016
Accepted: May 1, 2017
Published online: Aug 4, 2017
Published in print: Oct 1, 2017
Discussion open until: Jan 4, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

M. N. Islam [email protected]
Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of Pittsburgh, 736 Benedum Hall, 3700 O’Hara St., Pittsburgh, PA 15213 (corresponding author). E-mail: [email protected]
C. T. Gnanendran [email protected]
Senior Lecturer, School of Engineering and Information Technology, Univ. of New South Wales, Canberra 2610, Australia. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share