Disturbed State Concept-Based Constitutive Model for Lignosulfonate-Treated Silty Sand
Publication: International Journal of Geomechanics
Volume 15, Issue 6
Abstract
In this paper, a new behavioral (plasticity) model for lignosulfonate (LS)–treated silty sand based on the disturbed state concept is proposed. Here, the relative intact (RI) responses for both the LS-treated and untreated soils are simulated using the version of the hierarchical single-surface plasticity models. The nonassociativeness is incorporated through the disturbance function, which shows the amount of deviation of the actual response from the reference states. In the analysis, the fully adjusted (FA) response of the untreated soil was considered similar to the shear behavior at 20% of the shear strain. Also, for the LS-treated behavior, the FA response was taken as the response of the LS bonds. In this study, the bond response was modeled separately using a linear elastic RI response and zero strength condition as the relative states. A series of laboratory direct shear tests were carried out at low effective normal stresses to determine the model parameters. The proposed model has been validated using an independent set of shear test results. The model predictions are in good agreement with the laboratory test data.
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Acknowledgments
The authors wish to express their gratitude to the Australian Research Council (ARC), to the Queensland Department of Transport and Main Roads (Brisbane), and to Robert Armstrong (Chemstab Consulting Pvt. Ltd., Wollongong) for providing financial support for this research. Professor Chandrakant Desai’s encouragement and his comments during the preparation of the manuscript through this ARC project are appreciated. The assistance with laboratory experiments given by the technical staff at University of Wollongong is gratefully acknowledged.
References
Abdulla, A. A., and Kiousis, P. D. (1997). “Behavior of cemented sands—II. Modelling.” Int. J. Numer. Anal. Methods Geomech., 21(8), 549–568.
Athukorala, R., Indraratna, B., and Vinod, J. S. (2013). “Modelling the internal erosion behavior of lignosulfonate treated soil.” Geo-Congress 2013, Geotechnical Special Publication 231, C. L. Meehan, D. Pradel, M. A. Pando, and J. F. Labuz, eds., ASCE, Reston, VA, 1872–1881.
Clough, G. W., and Duncan, J. M. (1971). “Finite element analysis of retaining wall behaviour.” J. Soil Mech. Found. Div., 97(12), 1657–1673.
Dafalias, Y. F. (1987). “Anisotropic critical state clay plasticity model.” 2nd Int. Conf. on Constitutive Laws for Engineering Materials, Vol. 1, C. S. Desai, and E. Krempl, eds., Elsevier, New York, 513–521.
Desai, C. S. (2001). Mechanics of materials and interfaces: The disturbed state concept, CRC Press, Boca Raton, FL.
Desai, C. S., and Hashmi, Q. S. E. (1989). “Analysis, evaluation, and implementation of a nonassociative model for geologic materials.” Int. J. Plast., 5(4), 397–420.
Desai, C. S., and Wang, Z. (2003). “Disturbed state model for porous saturated materials.” Int. J. Geomech., 260–265.
Desai, C. S., and Zaman, M. (2013). Advanced geotechnical engineering: Soil-structure interaction using computer and material models, CRC Press, Boca Raton, FL.
Fakharian, K., and Evgin, E. (2000). “Elasto-plastic modelling of stress-path-dependent behavior of interfaces.” Int. J. Numer. Anal. Methods Geomech., 24(2), 183–199.
Gens, A., and Nova, R. (1993). “Conceptual bases for a constitutive model for bounded soils and weak rocks.” 1st Int. Symp. Geotechnics Hard Soil Soft Rock, 1(1), 485–494.
Haeri, S. M., and Hamidi, A. (2009). “Constitutive modelling of cemented gravelly sands.” Geomech. Geoeng., 4(2), 123–139.
Indraratna, B., Athukorala, R., and Vinod, J. S. (2013). “Estimating the rate of erosion of a silty sand treated with lignosulfonate.” J. Geotech. Geoenviron. Eng., 701–714.
Karol, R. H. (2003). Chemical grouting and soil stabilization, 3rd Ed., Marcel Decker, New York.
Kasama, K., Ochiai, H., and Yasufuku, N. (2000). “On the stress-strain behavior of lightly cemented clay based on an extended critical state concept.” Soils Found. 40(5), 37–47.
Lee, K., Chan, D., and Lam, K. (2004). “Constitutive model for cement treated clay in a critical state frame work.” Soils Found., 44(3), 69–77.
Liu, M. D., Carter, J. P., and Airey, D. W. (1997). “An elastoplastic stress–strain model for cemented carbonate soils.” 14th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 1, Hamburg, 6–12 September, A A Balkema publishers, Rotterdam, Netherlands, 367–372.
Namikawa, T., and Mihira, S. (2007). “Elasto-plastic model for cement-treated sand.” Int. J. Numer. Anal. Methods Geomech., 31(1), 71–107.
Navayogarajah, N. (1990). “Constitutive modeling of static and cyclic behavior of interfaces and implementation in boundary value problems.” Ph.D. dissertation, Dept. of Civil Engineering & Engineering Mechanics, Univ. of Arizona, Tucson, AZ.
Navayogarajah, N., Desai, C. S., and Kiousis, P. (1992). “Hierarchical single‐surface model for static and cyclic behavior of interfaces.” J. Eng. Mech., 990–1011.
Pal, S., and Wathugala, G. W. (1999). “Disturbed state model for sand–geosynthetic interfaces and application to pull-out tests.” Int. J. Numer. Anal. Methods Geomech., 23(15), 1873–1892.
Vinod, J. S., and Indraratna, B. (2011). “A conceptual model for lignosulfonate treated soils.” 13th Int. Conf. of the Int. Association for Computer Methods and Advances in Geomechanics, Vol. 1, Centre for Infrastructure Engineering and Safety, Sydney, NSW, Australia, 296–300.
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© 2015 American Society of Civil Engineers.
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Received: Jan 22, 2014
Accepted: Nov 13, 2014
Published online: Mar 17, 2015
Discussion open until: Aug 17, 2015
Published in print: Dec 1, 2015
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