A Constitutive Model for Time-Dependent Behavior of Clay
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
A Constitutive Model for Time-Dependent Behavior of Clay

Authors: T. N. Mac, B. Shahbodaghkhan, N. Khalili

Abstract:

A new elastic-viscoplastic (EVP) constitutive model is proposed for the analysis of time-dependent behavior of clay. The proposed model is based on the bounding surface plasticity and the concept of viscoplastic consistency framework to establish continuous transition from plasticity to rate dependent viscoplasticity. Unlike the overstress based models, this model will meet the consistency condition in formulating the constitutive equation for EVP model. The procedure of deriving the constitutive relationship is also presented. Simulation results and comparisons with experimental data are then presented to demonstrate the performance of the model.

Keywords: Bounding surface, consistency theory, constitutive model, viscosity.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1092936

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2748

References:


[1] K. Arulanandan, C. K. Shen, and R. B. Young, "Undrained creep behaviour of a coastal organic silty clay". Geotechnique. Vol. 21, no. 4, p. 359-375, 1971.
[2] S. Leroueil, M. Kabbaj, F. Tavenas, and R. Bouchard, "Stress-strain-strain rate relation for the compressibility of sensitive natural clays". Geotechnique. Vol. 35, no. 2, p. 159-180, 1985.
[3] A. Augustesen, M. Liingaard, and P. V. Lade, "Evaluation of time-dependent behavior of soils". International Journal of Geomechanics. Vol. 4, no. 3, p. 137-156, 2004.
[4] M. Liingaard, A. Augustesen, and P. V. Lade, "Characterization of models for time-dependent behavior of soils". International Journal of Geomechanics. Vol. 4, no. 3, p. 157-177, 2004.
[5] P. Perzyna, "On the constitutive equations for work-hardening and rate sensitive plastic materials". Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. Vol. 12, no. 4, p. 199-206, 1964.
[6] P. Perzyna, Fundamental problems in viscoplasticity, in Advances in Applied Mechanics. 1966, Academic Press Inc. p. 243-377.
[7] T. Adachi and F. Oka, "Constitutive equations for normally consolidated clay based on elasto-viscoplasticity". Soils and Foundations. Vol. 22, no. 4, p. 57-70, 1982.
[8] F. Oka, T. Adachi, and Y. Okano, "Two-dimensional consolidation analysis using an elasto-viscoplastic constitutive equation". International Journal for Numerical and Analytical Methods in Geomechanics. Vol. 10, no. 1, p. 1-16, 1986.
[9] V. N. Kaliakin and Y. F. Dafalias, "Theoretical aspects of the elastoplastic-viscoplastic bounding surface model for cohesive soils". Soils and Foundations. Vol. 30, no. 3, p. 11-24, 1990.
[10] V. N. Kaliakin and Y. F. Dafalias, "Verification of the elastoplastic-viscoplastic bounding surface model for cohesive soils". Soils and Foundations. Vol. 30, no. 3, p. 25-36, 1990.
[11] B. L. Kutter and N. Sathialingam, "Elastic - viscoplastic modelling of the rate-dependent behaviour of clays". Geotechnique. Vol. 42, no. 3, p. 427-441, 1992.
[12] J. H. Yin and J. Graham, "Viscous-elastic-plastic modelling of one-dimensional time-dependent behaviour of clays". Canadian geotechnical journal. Vol. 26, no. 2, p. 199-209, 1989.
[13] J.-H. Yin and J. Graham, "Equivalent times and one-dimensional elastic viscoplastic modelling of time-dependent stress-strain behaviour of clays". Canadian Geotechnical Journal. Vol. 31, no. 1, p. 42-52, 1994.
[14] J.-H. Yin and J. Graham, "Elastic viscoplastic modelling of the time-dependent stress-strain behaviour of soils". Canadian Geotechnical Journal. Vol. 36, no. 4, p. 736-745, 1999.
[15] J.-H. Yin, J.-G. Zhu, and J. Graham, "A new elastic viscoplastic model for time-dependent behaviour of normally and overconsolidated clays: Theory and verification". Canadian Geotechnical Journal. Vol. 39, no. 1, p. 157-173, 2002.
[16] N. Khalili, M. A. Habte, and S. Valliappan, "A bounding surface plasticity model for cyclic loading of granular soils". International Journal for Numerical Methods in Engineering. Vol. 63, no. 14, p. 1939-1960, 2005.
[17] W. M. Wang, L. J. Sluys, and R. de Borst, "Viscoplasticity for instabilities due to strain softening and strain-rate softening". International Journal for Numerical Methods in Engineering. Vol. 40, no. 20, p. 3839-64, 1997.
[18] A. Carosio, K. Willam, and G. Etse, "On the consistency of viscoplastic formulations". International Journal of Solids and Structures. Vol. 37, no. 48, p. 7349-7369, 2000.
[19] D. M. Wood, Soil behaviour and critical state soil mechanics 1990: Cambridge England ; : Cambridge University Press, New York 462.
[20] A. R. Russell and N. Khalili, "A bounding surface plasticity model for sands exhibiting particle crushing". Canadian Geotechnical Journal. Vol. 41, no. 6, p. 1179-1192, 2004.