Thermomechanical Constitutive Model for Saturated Clays Based on Critical State Theory
Publication: International Journal of Geomechanics
Volume 15, Issue 1
Abstract
A thermomechanical constitutive model for predicting the isothermal behavior of saturated clays in different temperatures is presented in this paper. This model is developed based on the general framework of critical state soil mechanics and modified Cam-clay formulation. Most of the characteristics of saturated clays in temperatures lower than water’s boiling temperature have been taken into account. An attempt has been made to use the lowest possible number of extra parameters compared with the original Cam-clay model and to ensure that these new parameters have clear physical interpretations. An important feature in the model is thermal dependency of the critical state line in the deviatoric stress plane. The predictions have been compared with five sets of laboratory data available in the literature.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abuel-Naga, H. (2005). “Thermo-mechanical behavior of soft Bangkok clay: experimental results and constitutive modeling.” Ph.D. thesis, Asian Institute of Technology, Pathumthani, Thailand.
Abuel-Naga, H. M., Bergado, D. T., Bouazza, A., and Ramana, G. V. (2007). “Volume change behavior of saturated clays under drained heating conditions: Experimental results and constitutive modeling.” Can. Geotech. J., 44(8), 942–956.
Baldi, G., Hueckel, T., and Pellegrini, R. (1988). “Thermal volume changes of the mineralwater system in low-porosity clay soils.” Can. Geotech. J., 25(4), 807–825.
Bolzon, G., and Schrefler, B. (2005). “Thermal effects in partially saturated soils: A constitutive model.” Int. J. Numer. Anal. Methods Geomech., 29(9), 861–877.
Boudali, M., Leroueil, S., and Srinivasa Murthy, B. R. (1994). “Viscous behaviour of natural clays.” Proc., 13th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol 1., Oxford & IBH Publishing, New Delhi, India, 411–416.
Burghignoli, A., Desideri, A., and Miliziano, S. (1992). “Deformability of clays under non isothermal conditions.” Riv. Ital. Geotec., 26(4), 227–236.
Burghignoli, A., Desideri, A., and Miliziano, S. (2000). “A laboratory study on the thermomechanical behaviour of clayey soils.” Can. Geotech. J., 37(4), 764–780.
Cekerevac, C. (2003). “Thermal effects on the mechanical behaviour of saturated clays: An experimental and constitutive study.” Ph.D. thesis, Ecole polytechnique Fédérale de Lausanne, Lausanne, Switzerland, Doctoral Thesis No. 2828.
Cekerevac, C., and Laloui, L. (2004). “Experimental study of thermal effects on the mechanical behaviour of a clay.” Int. J. Numer. Anal. Methods Geomech., 28(3), 209–228.
Chiu, S. L. (1996). “Behaviour of normally consolidated clay at elevated temperature.” Ph.D. thesis, Univ. of Sydney, Sydney, Australia.
Collins, I. F., and Kelly, P. A. (2002). “A thermo-mechanical analysis of a family of soil models.” Geotechnique, 52(7), 507–518.
Ctori, P. (1989). “The effects of temperature on the physical properties of cohesive soil.” Ground Eng., 22(5), 26–27.
Cudny, M., and Vermeer, P. A. (2004). “On the modeling of anisotropy and destructuration of soft clays within the multi-laminate framework.” Comput. Geotech., 31(1), 1–22.
Cui, Y. J., Sultan, N., and Delage, P. (2000). “A thermo-mechanical model for saturated clays.” Can. Geotech. J., 37(3), 607–620.
Del Olmo, C., Fioravante, V., Gera, F., Hueckel, T., Mayor, J. C., and Pellegrini, R. (1996). “Thermo-mechanical properties of deep argillaceous formations.” Eng. Geol., 41(1–4), 87–102.
Desai, C. S. (2005). “Constitutive modeling for geologic materials: Significance and directions.” Int. J. Geomech., 81–84.
Despax, D. (1976). “Influence de la température sur les propriétés mécaniques des argiles saturées.” Ph.D. thesis, Ecole Centrale de Paris, Paris.
Ghahremannejad, B. (2003). “Thermo-mechanical behaviour of two reconstituted clays.” Ph.D. thesis, Univ. of Sydney, Sydney, Australia.
Graham, J., Tanaka, N., Crilly, T., and Alfaro, M. (2001). “Modified Cam-clay modeling of temperature effects in clays.” Can. Geotech. J., 38(3), 608–621.
Hamidi, A., and Khazaei, C. (2010). “A thermo-mechanical constitutive model for saturated clays.” Int. J. Geotech. Eng., 10(4), 445–459.
Hong, P. Y., Pereira, J. M., Tang, A. M., and Cui, Y. J. (2013). “On some advanced thermo-mechanical models for saturated clays.” Int. J. Num. Anal. Meth. Geomech., 37(17), 2952–2971.
Houlsby, G. T., and Wroth, C. P. (1991). “Variation of shear modulus of a clay with pressure and overconsolidation ratio.” Soils Found., 31(3), 138–143.
Houston, S. L., Houston, W. N., and Williams, N. D. (1985). “Thermo-mechanical behavior of seafloor sediments.” J. Geotech. Engrg., 1249–1263.
Hueckel, T., and Baldi, G. (1990). “Thermoplastic behavior of saturated clays: Experimental constitutive study.” J. Geotech. Engrg., 1778–1796.
Hueckel, T., and Borsetto, M. (1990). “Thermoplasticity of saturated soils and shales: Constitutive equations.” J. Geotech. Engrg., 1765–1777.
Hueckel, T., Francois, B., and Laloui, L. (2011). “Temperature-dependent internal friction of clay in a cylindrical heat source problem.” Geotechnique, 61(10), 831–844.
Hueckel, T., and Pellegrini, R. (1989). “Modelling of thermal failure of saturated clays.” Proc., 3rd Symp. Numerical Modeling in Geomechanics, Elsevier, London, 81–90.
Iskander, K. (2013). “New pressuremeter test analysis based on critical state mechanics.” Int. J. Geomech., 625–635.
Kuntiwattanakul, P., Towhata, I., Ohishi, K., and Seko, I. (1995). “Temperature effects on undrained shear characteristics of clay.” Soils Found., 35(1), 147–162.
Lagioia, R., Puzrin, A. M., and Potts, D. M. (1996). “A new versatile expression for yield and plastic potential surfaces.” Comput. Geotech., 19(3), 171–191.
Laguros, J. G. (1969). “Effect of temperature on some engineering properties of clay soils.” Special Rep. 103, Highway Research Board, Washington, DC.
Laloui, L., and Cekerevac, C. (2003). “Thermo-plasticity of clays: An isotropic yield mechanism.” Comput. Geotech., 30(8), 649–660.
Lingnau, B. E., Graham, J., and Tanaka, N. (1995). “Isothermal modelling of sand-bentonite mixtures at elevated temperatures.” Can. Geotech. J., 32(1), 78–88.
Liu, E. L., and Xing, H. L. (2009). “A double hardening thermo-mechanical model for overconsolidated clays.” Acta Geotech., 4(1), 1–6.
Liu, M. D., and Carter, J. P. (2002). “Structured Cam clay model.” Can. Geotech. J., 39(6), 1313–1332.
Masad, E., Muhunthan, B., and Chameau, J. L. (1998). “Stress–strain model for clays with anisotropic void ratio distribution.” Int. J. Numer. Anal. Methods Geomech., 22(5), 393–416.
Mita, K. A., Dasari, G. R., and Lo, K. W. (2004). “Performance of a three dimensional Hvorslev–modified Cam clay model for overconsolidated clay.” Int. J. Geomech., 296–309.
Mitchell, J. K. (1964). “Shearing resistance of soils as a rate process.” J. Soil Mech. and Found. Div., 90(1), 29–61.
Modaressi, H., and Laloui, L. (1997). “A thermo-viscoplastic constitutive model for clays.” Int. J. Numer. Anal. Methods Geomech., 21(5), 313–335.
Moritz, L. (1995). “Geotechnical properties of clay at elevated temperatures.” Rep. No. 47, Swedish Geotechnical Institute, Linköping, Sweden.
Murali Krishnan, J., Rajagopal, K. R., Masad, E., and Little, D. N. (2006). “Thermomechanical framework for the constitutive modeling of asphalt concrete.” Int. J. Geomech., 36–45.
Murayama, S. (1969). “Effect of temperature on elasticity of clays.” Special Rep. 103, Highway Research Board, Washington, DC, 194–203.
Noble, C. A., and Demirel, T. (1969). “Effect of temperature on strength behavior of cohesive soil.” Special Rep. 103, Highway Research Board, Washington, DC, 204–219.
Picard, J. (1994). “Ecrouissage thermique des argiles saturees: Application au stockage des dechets radioactifs.” Ph.D. thesis, Ecole Nationale de Ponts et Chausses, Champs-sur-Marne, France.
Pusch, R., and Guven, N. (1990). “Electron microscopic examination of hydrothermally treated Bentonite clay.” Eng. Geol., 28(3–4), 303–314.
Robinet, J. C., Pasquiou, A., Jullien, A., and Belanteur, N. (1997). “Experiences de laboratoire sur le comportement thermo-hydro-mechanique de materiaux argileux remanies ginflants et non ginflants.” Rev. Fr. Geotechnique, 8(4), 53–80.
Robinet, J.-C., Rahbaou, A., Plas, F., and Lebon, P. (1996). “A constitutive thermomechanical model for saturated clays.” Eng. Geol., 41(1–4), 145–169.
Roscoe, K. H., and Burland, J. B. (1968). “On the generalized stress-strain behavior of wet clay.” Engineering plasticity, Cambridge University Press, Cambridge, U.K., 535–609.
Saix, C. (1991). “Consolidation thermique par chaleur d’un sol non saturé.” Can. Geotech. J., 28(1), 42–50.
Sherif, M. A., and Burrous, C. M. (1969). “Temperature effect on unconfined shear strength of saturated cohesive soils.” Special Rep. 103, Highway Research Board, Washington, DC.
Sultan, N., Delage, P., and Cui, Y. J. (2002). “Temperature effects on the volume change behaviour of Boom clay.” Eng. Geol., 64(2–3), 135–145.
Tanaka, N. (1995). “Thermal elastic plastic behavior and modeling of saturated clays.” Ph.D. thesis, Dept. of Civil and Geological Engineering, Univ. of Manitoba, Winnipeg, MB, Canada.
Tanaka, N., Graham, J., and Crilly, T. (1997). “Stress-strain behavior of reconstituted illite clay at different temperatures.” Eng. Geol., 47(4), 339–350.
Tidfors, M., and Sällfors, S. (1989). “Temperature effect on preconsolidation pressure.” Geotech. Test. J., 12(1), 93–97.
Towhata, I., Kuntiwattanakul, P., and Seko, I. (1993). “Volume change of clays induced by heating as observed in consolidation tests.” Soils Found., 33(4), 170–183.
Uchaipichat, A., and Khalili, N. (2009). “Experimental investigation of thermo-hydro-mechanical behaviour of an unsaturated silt.” Geotechnique, 59(4), 339–353.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jul 25, 2013
Accepted: Mar 5, 2014
Published online: Apr 7, 2014
Published in print: Feb 1, 2015
Authors
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.