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ACMEG-TS: a constitutive model for unsaturated soils under non-isothermal conditions. (English) Zbl 1273.74228

Summary: This paper introduces an unconventional constitutive model for soils, which deals with a unified thermo-mechanical modelling for unsaturated soils. The relevant temperature and suction effects are studied in light of elasto-plasticity. A generalized effective stress framework is adopted, which includes a number of intrinsic thermo-hydro-mechanical connections, to represent the stress state in the soil. Two coupled constitutive aspects are used to fully describe the non-isothermal behaviour. The mechanical constitutive part is built on the concepts of bounding surface theory and multi-mechanism plasticity, whereas water retention characteristics are described using elasto-plasticity to reproduce the hysteretic response and the effect of temperature and dry density on retention properties. The theoretical formulation is supported by comparisons with experimental results on two compacted clays.

MSC:

74L10 Soil and rock mechanics
74F05 Thermal effects in solid mechanics
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
Full Text: DOI

References:

[1] Vulliet, Environmental Geomechanics (2002)
[2] Gens, Clay barrier in radioactive waste disposal, Revue Française de Génie Civil 5 (6) pp 845– (2001)
[3] Laloui, Experimental and numerical investigations of the behaviour of a heat exchanged pile, International Journal for Numerical and Analytical Methods in Geomechanics 30 pp 763– (2006)
[4] Dusseault, Induced stresses near a fire flood front, AOSTRa Journal of Research 4 pp 153– (1988)
[5] Mitchell, Temperature distributions around buried cables, IEEE Transactions on Power Apparatus and Systems PAS-98 (4) pp 1158– (1979)
[6] Anders, Computation of temperature field and moisture content in the vicinity of current carrying underground power cables, IEE Proceedings 135C (1) pp 51– (1988)
[7] Gens, Modern Issues in Non-saturated Soils pp 129– (1995) · Zbl 0862.73001 · doi:10.1007/978-3-7091-2692-9_2
[8] Modaressi A, Modaressi H. Thermoplastic constitutive model for unsaturated soils: a prospective approach. Numerical Models in Geomechanics-NUMOG V, Davos, Switzerland, 1995; 45-50.
[9] Khalili, An elasto-plastic model for non-isothermal analysis of flow and deformation in unsaturated porous media: formulation, International Journal of Solids and Structures 38 pp 8305– (2001) · Zbl 1043.74010
[10] Wu, A thermo-hydro-mechanical constitutive model and its numerical modelling for unsaturated soils, Computer and Geotechnics 31 pp 155– (2004)
[11] Bolzon, Thermal effects in partially saturated soils: a constitutive model, International Journal for Numerical and Analytical Methods in Geomechanics 29 (9) pp 861– (2005) · Zbl 1104.74038
[12] François, Theoretical and Numerical Unsaturated Soil Mechanics pp 119– (2007)
[13] Saix, Appareil triaxial pour l’étude du comportement thermique de sols non saturés, Canadian Geotechnical Journal 27 pp 119– (1990)
[14] Recordon, Déformabilité des sols non saturés à diverses températures, Revue Francaise de Géotechnique 65 pp 37– (1993)
[15] Wiebe, Influence of pressure, saturation and temperature on the behaviour of unsaturated sand-bentonite, Canadian Geotechnical Journal 35 pp 194– (1998)
[16] Romero, Suction effect on a compacted clay under non-isothermal conditions, Géotechnique 53 (1) pp 65– (2003)
[17] Romero, Thermo-hydro-mechanical behaviour of two heavily overconsolidated clays, Engineering Geology 81 pp 255– (2004)
[18] Tang AM. Effet de la température sur le comportement des barrières de confinement. Ph.D. Thesis, Ecole Nationale des Ponts et Chaussées, Paris, 2005.
[19] François B, Salager S, El Youssoufi MS, Ubals Picanyol D, Laloui L, Saix C. Compression tests on a sandy silt at different suction and temperature levels. ASCE Geotechnical Special Publication 157, 2007.
[20] Salager S, François B, El Youssoufi MS, Laloui L, Saix C. Experimental investigations on temperature and suction effects on mechanical behaviour of a sandy silt. Soils and Foundations 2008; accepted.
[21] Hueckel, Thermoplasticity of saturated soils and shales: constitutive equations, Journal of Geotechnical Engineering 116 (12) pp 1765– (1990)
[22] Alonso, A constitutive model for partially saturated soils, Géotechnique 40 (3) pp 405– (1990)
[23] Coleman, Stress-strain relation for partially saturated soil, Géotechnique 12 pp 348– (1962)
[24] Matyas, Volume change characteristics of partially saturated soils, Géotechnique 18 pp 432– (1968)
[25] Fredlund, Stress state variables for unsaturated soils, Journal of the Geotechnical Engineering Division 103 (GT5) pp 447– (1977)
[26] Modaressi A, AbouBerk N. A unified approach to model the behaviour of saturated and unsaturated soils. Proceedings of the 8th IACMAG, Morgentown, U.S.A., 1994.
[27] Modaressi, A thermo-viscoplastic constitutive model for clays, International Journal for Numerical and Analytical Methods in Geomechanics 21 (5) pp 313– (1997) · Zbl 0892.73046
[28] Biarez J, Fleureau JM, Taibi S. Constitutive model for unsaturated granular media. Proceedings of the 2nd International Conference on Micromechanics of Granular Media, Birmingham, 1993.
[29] Kohgo, Theoretical aspects of constitutive modelling for unsaturated soils, Soils and Foundations 33 (4) pp 49– (1993) · doi:10.3208/sandf1972.33.4_49
[30] Loret, A three phase model for unsaturated soils, International Journal for Numerical and Analytical Methods in Geomechanics 31 pp 893– (2000) · Zbl 1018.74026
[31] Fredlund, Equation for the soil-water characteristics curve, Canadian Geotechnical Journal 31 pp 521– (1994)
[32] Bolzon, Elastoplastic soil constitutive law generalized to partially saturated state, Géotechnique 46 pp 279– (1996)
[33] Laloui, Non-isothermal plasticity model for cyclic behaviour of soils, International Journal for Numerical and Analytical Methods in Geomechanics 32 (5) pp 437– (2008) · Zbl 1273.74261
[34] Laloui, Thermo-plasticity of clays: an isotropic yield mechanism, Computers and Geotechnics 30 pp 649– (2003)
[35] Cekerevac, Experimental study of thermal effects on the mechanical behaviour of clays, International Journal for Numerical and Analytical Methods in Geomechanics 28 pp 209– (2004)
[36] Nuth M, Laloui L. New insight into the unified hydro-mechanical constitutive modeling of unsaturated soils. Proceedings of the 3rd Asian Conference on Unsaturated Soils, Nanjing, China, 2007; 109-126.
[37] Gallipoli, Modelling the variation of degree of saturation in a deformable unsaturated soil, Géotechnique 53 (1) pp 105– (2003)
[38] Romero E. Characterisation and thermo-mechanical behaviour of unsaturated Boom clay: an experimental study. Ph.D. Thesis, UPC, Barcelona, 1999.
[39] Lloret A, Romero E, Villar M. FEBEX II Project: final report on thermo-hydro-mechanical laboratory tests. Publicación técnica 10/2004, ENRESA, 2004.
[40] Romero, Temperature effects on the hydraulic behaviour of an unsaturated clay, Geotechnical and Geological Engineering 19 pp 311– (2001)
[41] Nuth, Effective stress concept in unsaturated soils: clarification and validation of a unified framework, International Journal for Numerical and Analytical Methods in Geomechanics (2008) · Zbl 1273.74293 · doi:10.1002/nag.645
[42] Bishop, The principle of effective stress, Tecnisk Ukeblad 39 pp 859– (1959)
[43] Bishop, Some aspects of effective stress in saturated and unsaturated soils, Géotechnique 13 pp 177– (1963)
[44] Schrefler BA. The finite element method in soil consolidation (with applications to surface subsidence). Ph.D. Thesis, University College of Swansea, 1984; C/Ph/76/84.
[45] Laloui L, François B. ACMEG-T: a comprehensive soil thermo-plasticity model. Submitted.
[46] Laloui L. Modélisation du comportement thermo-hydro-mécanique des milieux poreux anélastique. Ph.D. Thesis, Ecole Centrale de Paris, 1993.
[47] Koiter, Progress in Solid Mechanics pp 167– (1960)
[48] Mandel, Généralisation de la théorie de Koiter, International Journal of Solids and Structures 1 pp 273– (1965)
[49] Hujeux JC. Calcul numérique de problèmes de consolidation élastoplastique. Ph.D. Thesis, Ecole Centrale de Paris, 1979.
[50] Roscoe, Engineering Plasticity pp 535– (1968)
[51] Dafalias Y, Herrmann L. A bounding surface soil plasticity model. International Symposium on Soils under Cyclic and Transient Loading, Swansea, 1980; 335-345.
[52] Prager, Proceedings of the Section of Sciences-B 61 pp 176– (1958)
[53] Rizzi, On failure indicators in multi-dissipative materials, International Journal of Solids and Structures 33 (20-22) pp 3187– (1996) · Zbl 0909.73066
[54] Borja, Cam-clay plasticity. Part V: a mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media, Computer Methods in Applied Mechanics and Engineering 193 pp 5301– (2004)
[55] Wheeler, Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils, Géotechnique 53 (1) pp 41– (2003)
[56] Cuisinier, Fabric evolution during hydro-mechanical loading of compacted silt, International Journal for Numerical and Analytical Methods in Geomechanics 28 (6) pp 483– (2004)
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