Abstract
With the development of modern geotechnical engineering practices such as the construction of high level radioactive waste repositories, exploitation and utilization of geothermal resources, energy-saving buildings and underground storage of CO2, research into the influence of temperature on the basic mechanical properties of unsaturated soils has become an important issue internationally. By using the work expression and considering the influence of temperature on the basic properties of unsaturated soils, the average soil skeleton stress, modified suction and temperature were selected as state variables of generalized forces in thermodynamics and the soil skeleton strain, saturation and entropy were chosen as state variables of generalized flows conjugate to the variables of generalized forces. Based on the nonlinear multi-field coupled model and by using existing experimental results, an elastic-plastic constitutive model of unsaturated soils under non-isothermal conditions was developed to analyze the influence of temperature on the deformation properties of unsaturated soils. The model was used to predict and analyze the influence of suction and temperature on the deformation properties of unsaturated soils under isotropic conditions, and was successfully verified using experimental results.
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Alonso E E, Gens A, Josa A. A constitutive model for partially saturated soils. Géotechnique, 1990, 40: 405–430
Wheeler S J, Sharma R S, Buisson M S. Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils. Géotechnique, 2003, 53: 41–54
Cai G Q, Zhao C G. Temperature effect on seepage and strength-deformation characteristics of unsaturated soils (in Chinese). Adv Mech, 2010, 40: 147–165
Campanella R G, Mitchell J K. Influence of temperature variations on soil behavior. J Soil Mech Found Div, ASCE, 1968, 94: 709–734
Hueckel T, Borsetto M. Thermoplasticity of saturated soils and shales: Constitutive equations. J Geotech Eng, 1990, 116: 1765–1777
Hueckel T, Baldi G. Thermoplasticity of saturated clays: Experimental constitutive study. J Geotech Eng, 1990, 116: 1778–1796
Laloui L, Cekerevac C. Thermo-plasticity of clays: An isotropic yield mechanism. Comput Geotech, 2003, 30: 649–660
Cui Y J, Sultan N, Delage P. A thermomechanical model for saturated clays. Can Geotech J, 2000, 37: 607–620
Tang A M, Cui Y J. Modelling the thermomechanical volume change behaviour of compacted expansive clays. Géotechnique, 2009, 59: 185–195
François B, Laloui L. ACMEG-TS: A constitutive model for unsaturated soils under non-isothermal conditions. Int J Numer Anal Meth Geomech, 2008, 32: 1955–1988
Uchaipichat A, Khalili N. Experimental investigation of thermo-hydromechanical behaviour of an unsaturated silt. Géotechnique, 2009, 59: 339–353
Hutter K, Laloui L, Vulliet L. Thermodynamically based mixture models of saturated and unsaturated soils. Mech Cohes Frict Mater, 1999, 4: 295–338
Bowen R M. Incompressible porous media models by use of the theory of mixtures. Int J Eng Sci, 1980, 18: 1129–1148
Bowen R M. Compressible porous media models by use of the theory of mixtures. Int J Eng Sci, 1982, 20: 697–735
de Boer R. Highlights in the histirical development of the porous media: Toward a consistent macroscopic theory. Appl Mech Rev, 1996, 49: 201–262
Li X S. Thermodynamics-based constitutive framework for unsaturated soils. 1: Theory. Géotechnique, 2007, 57: 411–422
Li X S. Thermodynamics-based constitutive framework for unsaturated soils. 2: A basic triaxial model. Géotechnique, 2007, 57: 423–435
Zhao C G, Zhang X D. Derivation of the work expression and discussion on the effective principle and the phase separation theorem in unsaturated soil. Sci China E: Tech Sci, 2008, 51: 1530–1541
Zhao C G, Liu Y, Gao F P. Work and energy equations and the principle of generalized effective stress for unsaturated soils. Int J Numer Anal Meth Geomech, 2010, 34: 920–936
Liu Y, Zhao C G, Cai G Q, et al. Constitutive modeling for unsaturated soils considering gas hardening effect. Chinese Sci Bull, 2010, 55: 1739–1745, doi:10.1007/s11434-010-4109-0
Zhao C G, Liu Y. Continuum porous medium soil mechanics and its application in constitutive relationship of unsaturated soils (in Chinese). Chin J Geotech Eng, 2009, 31: 1324–1335
Cai G Q, Zhao C G, Liu Y, et al. A nonlinear multi-field coupled model for soils. Sci China-Tech Sci, 2011, 54: 1300–1314
Sheng D, Sloan S W, Gens A. A constitutive model for unsaturated soils: Thermomechanical and computational aspects. Comput Mech, 2004, 33: 453–465
Wei C F, Dewoolkar M M. Formulation of capillary hysteresis with internal state variables. Water Resour Res, 2006, 42: w07405, doi: 10.1029/2005WR004594
Sun D, Sheng D, Xiang L, et al. Elastoplastic prediction of hydromechanical behaviour of unsaturated soils under undrained conditions. Comput Geotech, 2008, 35: 845–852
Collins I F, Kelly P A. A thermomechanical analysis of a family of soil models. Géotechnique, 2002, 52: 507–518
Loret B, Khalili N. A three-phase model for unsaturated soils. Int J Numer Anal Meth Geomech, 2000, 24: 893–927
Abuel-Naga H M, Bergado D T, Bouazza A, et al. Volume change behabiour of saturated clays under drained heating conditions: Experimental results and constitutive modeling. Can Geotech J, 2007, 44: 942–956
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Cai, G., Zhao, C., Liu, Y. et al. Volume change behavior of unsaturated soils under non-isothermal conditions. Chin. Sci. Bull. 56, 2495–2504 (2011). https://doi.org/10.1007/s11434-011-4580-2
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DOI: https://doi.org/10.1007/s11434-011-4580-2