On damage modelling in unsaturated clay rocks

Physics and Chemistry of the Earth

Volumn 33, Issue SUPPL. 1, 2008, Pages

  Arson, C ^a   Gatmiri, B ^a,b  

^a UNIVERSITÉ PARIS EST   (France)

^b UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Damage; Independent state variables; Micromechanics; Multimodal flow model; Phenomenological damage model; Poromechanics

Indexed keywords

CLAY MINERALS; CONTINUUM DAMAGE MECHANICS; CONTINUUM MECHANICS; FRACTURE MECHANICS; POROUS MATERIALS;

DAMAGE; INDEPENDENT STATE VARIABLES; MULTIMODAL FLOW MODEL; PHENOMENOLOGICAL DAMAGE MODEL; POROMECHANICS;

MODELS;

DAMAGE; FLOW MODELING; MICROMECHANICS; MICROSTRUCTURE; POROUS MEDIUM; ROCK MASS RESPONSE; SOFTENING;

EID: 55949089031     PISSN: 14747065     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pce.2008.10.006     Document Type: Article

References (74)

1. Al-Holo Al-Radi, S., 2005. Etude numérique de la localisation à l'aide de modèles de second gradient: perte d'unicité et évolution de la taille de la zone localisée. PhD dissertation, Université Joseph Fourier - Grenoble I, France, 165p.
2. Askes H., Pamin J., and de Borst R. Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models. Int. J. Numer. Meth. Eng. 49 (2000) 811-832
3. Askes H., and Sluys L.J. Explicit and implicit gradient series in damage mechanics. Euro. J. Mech. Solids 21 (2002) 379-390
4. Bargellini R., Halm D., and Dragon A. Modelling of anisotropic damage by microcracks: towards a discrete approach. Arch. Mech. 58 2 (2006) 93-123
5. Bazant Z.P. Why continuum damage is nonlocal: micromechanics arguments. J. Eng. Mech. ASCE 117 5 (1991) 1070-1087
6. Bazant Z.P., and Jirasek M. Nonlocal integral formulations of plasticity and damage: survey of progress. J. Eng. Mec. ASCE 128 11 (2002) 1119-1149
7. Bazant Z.P., and Ozbolt J. Nonlocal microplane model for fracture, damage, and size effect in structures. J. Eng. Mech. ASCE 116 11 (1990) 2485-2505
8. Belytschko, T., Kulkarni, M., 1990. "On imperfections and spatial gradient regularization in strain softening viscoplasticity", in "Failure criteria and analysis in dynamic response", Am. Soc. Mech. Eng., Applied Mechanics Division (AMD), Failure Criteria and Analysis in Dynamic Response, ed Lindberg and Aptek, 107, pp. 1-5.
9. Bourgeois F., Burlion N., and Shao J.F. Modelling of elastoplastic damage in concrete due to desiccation shrinkage. Int. J. Num. Anal. Meth. Geomech. 26 (2002) 759-774
10. Cey E., Rudolph D., and Therrien R. Simulation of groundwater recharge dynamics in partially saturated fractured soils incorporating spatially variable fracture aperture. Water Resour. Res. 42 (2006) 15 (W09413)
11. Chambon R., Caillerie D., and Tamagnini C. A finite deformation second gradient theory of plasticity. C.R. Acad. Sci. Paris, T.329, série II.b (2001) 797-802
12. Chambon R., Caillerie D., and Tamagnini C. A strain space gradient plasticity theory for finite strain. Comput. Meth. Appl. Mech. Eng. 193 (2004) 2797-2826
13. Collins I.F., and Houlsby G.T. Application of thermomechanical principles to the modelling of geotechnical materials. Proc. Math. Phys. Eng. Sci. 453 1964 (1997) 1975-2001
14. Cordebois J.P., and Sidoroff F. Endommagement anisotrope en élasticité et plasticité. J. de Mécanique théorique et appliquée 31 15 (1982) 1675-1694
15. Coussy O., and Dangla P. In: Coussy O., and Fleureau J.M. (Eds). Approche énergétique du comportement des sols non saturés in Mécanique des sols non saturés (2002), Hermès 137-174 (chapter 4)
16. Dragon A., and Halm D. Modélisation de l'endommagement par méso-fissuration: comportement unilatéral et anisotropie induite. C.R. Acad. Sci. Paris T. 322 Série IIb (1996) 275-282
17. de Borst R., Pamin J., and Geers M.G.D. On coupled gradient-dependent plasticity and damage theories with a view to localization analysis. Eur. J. Mech. A/Solids 18 (1999) 939-962
18. de Vree J.H.P., Brekelmans W.A.M., and van Gils M.A.J. Comparison of non local approaches in continuum damage mechanics. Comput. Struct. 55 4 (1995) 581-588
19. Durner W. Hydraulic conductivity estimation for soils with heterogeneous pore structure. Water Resour. Res. 30 2 (1994) 211-223
20. Fredlund D.G., and Morgenstern N.R. Stress state variables for unsaturated soils. J. Geotech. Eng. Am. Soc. Civ. Engrs 103 5 (1977) 447-466
21. Frémond M., and Nedjar B. Damage, gradient of damage and principle of virtual power. Int. J. Solids Struct. 33 8 (1996) 1083-1103
22. Gatmiri,B., 2002. Framework of a non linear fully coupled thermo-hydro-mechanical behaviour of unsaturated porous media. In: Keynote lecture of the 3rd Iranian International Conference on Geotechnical Engineering and Soil Mechanics, Tehran, IRAN (9-11 December).
23. Gatmiri B., and Hoor A. Excavation effect on the thermo-hydro-mechanical behaviour of a geological barrier. Phys. Chem. Earth 32 8-14 (2007) 947-956
24. Gatmiri B., Jenab-Vossoughi B., and Delage P. Validation of θ-STOCK, finite element software for the analysis of thermo-hydro-mechanical behaviour of engineered clay barriers. Proceedings of NAFEMS WORLD CONGRESS 99 on Effective Engineering Analysis 1 (1999) 645-656
25. Gatmiri, B., Seyedi, M., Delage, P., Fry, J.-J., 1997. A new suction-based mathematical model for thermo-hydro-mechanical behavior of unsaturated porous media. NUMOG VI, Quebec, CANADA, 2-4, 291-296 (July).
26. Gerke H.H., and Van Genuchten M.T. A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media. Water Resour. Res. 29 2 (1993) 305-319
27. Germain P. La méthode des puissances virtuelles en mécanique des milieux continus. Première partie: Théorie du second gradient. J. de mécanique 12 2 (1973) 235-274
28. Germain P. The method of virtual power in continuum mechanics. Part 2: Microstructure. J. Appl. Math. 25 3 (1973) 556-575
29. Gwo J.P., Jardine P.M., Wilson G.V., and Yeh G.T. A multiple-pore-region concept to modeling mass transfer in subsurface media. J. Hydrol. 164 (1995) 217-237
30. Halm D., and Dragon A. An anisotropic model of damage and frictional sliding for brittle materials. Eur. J. Mech. A/Solids 17 3 (1998) 439-460
31. Hansen N.R., and Schreyer H.L. A thermodynamically consistent framework for theories of elastoplasticity coupled with damage. Int. J. Solids Struct. 31 3 (1994) 359-389
32. Homand-Etienne F., Hoxha D., and Shao J.F. A continuum damage constitutive law for brittle rocks. Comput. Geotech. 22 2 (1998) 135-151
33. Hou Z.M. Mechanical and hydraulic behavior of rock salt in the excavation disturbed zone around underground facilities. Int. J. Rock Mech. Min. Sci. 40 (2003) 725-738
34. Houlsby G.T. The work input to an unsaturated granular material, Technical Note. Géotechnique 47 1 (1997) 193-196
35. Isaksson P., and Hägglund R. Analysis of the strain field in the vicinity of a crack-tip in an in-plane isotropic paper material. Int. J. Solids Struct. 44 (2007) 659-671
36. Jia Y., Song X.C., Duveau G., Su K., and Shao J.F. Elastoplastic damage modelling of argillite in partially saturated condition and application. Phys. Chem. Earth 32 (2007) 656-666
37. Jirasek M. Nonlocal models for damage and fracture: comparison of approaches. Int. J. Solids Struct. 35 31-32 (1998) 4133-4145
38. Köhne J.M., Köhne S., and Gerke H.H. Estimating the hydraulic functions of dual-permeability models from bulk soil data. Water Resour. Res. 38 7 (2002) 26-1-26-11
39. Kuhl E., and Ramm E. Simulation of strain localization with gradient enhanced damage models. Comput. Mater. Sci. 16 (1999) 176-185
40. Lacy T.E., MacDowell D.L., and Talreja R. Gradient concepts for evolution of damage. Mech. Mater. 31 (1999) 831-860
41. Lasry D., and Belytschko T. Localization limiters in transient problems. Int. J. Solids Struct. 24 6 (1988) 581-597
42. Liu H.H., and Bodvarsson G.S. Constitutive relations for unsaturated flow in a fracture network. J. Hydrol. 252 (2001) 116-125
43. Liu H.H., Doughty C., and Bodvarsson G.S. An active fracture model for unsaturated flow and transport in fractured rocks. Water Resour. Res. 34 10 (1998) 2633-2646
44. Liu H.H., Salve R., Wang J.S., Bodvarsson G.S., and Hudson D. Field investigation into unsaturated flow and transport in a fault: model analyses. J. Contaminant Hydrol. 74 (2004) 39-59
45. Lorentz E., and Andrieux S. A variational formulation for nonlocal damage models. Int. J. Plasticity 15 (1999) 119-138
46. Lu Z.H., Chen Z.H., Fang X.W., Guo J.F., and Zhou H.Q. Structural damage model of unsaturated expansive soil and its application in multi-field couple analysis on expansive soil slope. Appl. Math. Mech. 27 7 (2006) 891-900 (English edition)
47. Luckner L., Van Genuchten M.T., and Nielsen D.R. A consistent set of parametric models for the two-phase flow of immiscible fluids in the subsurface. Water Resour. Res. 25 10 (1989) 2187-2193
48. Matsushima T., Chambon R., and Caillerie D. Second gradient models as a particular case of microstructured models: a large strain finite element analysis. C.R. Acad. Sci. Paris, T.328, série II.b (2000) 179-186
49. Mazars, J., 1984. Application de la mécanique de l'endommagement au comportement non linéaire et à la rupture du béton de structure, PhD dissertation, Thèse de doctorat d'Etat de l'Université de Paris.
50. Menzel A., and Steinmann P. A theoretical and computational framework for anisotropic continuum damage mechanics at large strains. Int. J. Solids Struct. 38 (2001) 9505-9523
51. Mindlin R.D. Micro-structure in linear elasticity. Archiv Rational Mech. Anal. 16 (1964) 51-78
52. Nedjar B. Elastoplastic-damage modeling including the gradient of damage: formulation and computational aspects. Int. J. Solids Struct. 38 (2001) 5421-5451
53. Ortiz M. A constitutive theory for the inelastic behaviour of concrete. Mech. Mater. 4 (1985) 67-93
54. Othmer H., Diekkrüger B., and Kutilek M. Bimodal porosity and unsaturated hydraulic conductivity. Soil Sci. 152 3 (1991) 139-150
55. Pamin J. Gradient plasticity and damage models: a short comparison. Comput. Mater. Sci. 32 (2005) 472-479
56. Pires-Domingues S.M., Costa-Mattos H., and Rochinha F.A. Modelling of nonlinear damage on elastic brittle materials. Mech. Res. Commun. 25 2 (1998) 147-153
57. Pruess K., Wang J.S.Y., and Tsang Y.W. On thermohydrologic conditions near high-level nuclear wastes emplaced in partially saturated fractured tuff 2 Effective continuum approximation. Water Resour. Res. 26 6 (1990) 1249-1261
58. Shao J.F., Ata N., and Ozanam O. Study of desaturation and resaturation in brittle rock with anisotropic damage. Eng. Geol. 81 (2005) 341-352
59. Shao J.F., Duveau G., Bourgeois F., and Chen W.Z. Elastoplastic damage modeling in unsaturated rocks and applications. Int. J. Geomech. 6 2 (2006) 119-130
60. Shao J.F., and Rudnicki J.W. A microcrack-based continuous damage model for brittle geomaterials. Mech. Mater. 32 (2000) 607-619
61. Shao J.F., Zhou H., and Chau K.T. Coupling between anisotropic damage and permeability variation in brittle rocks. Int. J. Numer. Anal. Meth. Geomech. 29 (2005) 1231-1247
62. Svedberg T., and Runesson K. A thermodynamically consistent theory of gradient-regularized plasticity coupled to damage. Int. J. Plasticity 6-7 (1997) 669-696
63. Swoboda G., and Yang Q. An energy-based damage model of geomaterials I. Formulation and numerical results. Int. J. Solids Struct. 36 (1999) 1719-1734
64. Swoboda G., and Yang Q. An energy-based damage model of geomaterials II. Deduction of damage evolution laws. Int. J. Solids Struct. 36 (1999) 1735-1755
65. Tamagnini C., Chambon R., and Caillerie D. A second gradient elastoplastic cohesive-frictional model for geomaterials. C.R. Acad. Sci. Paris, T.329, série II.b (2001) 735-739
66. Tang C.A., Tham L.G., Lee P.K.K., Yang T.H., and Li L.C. Coupled analysis of flow, stress and damage (FSD) in rock failure. Int. J. Rock Mech. Min. Sci. 39 (2002) 477-489
67. Van Genuchten M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44 (1980) 892-898
68. Vardoulakis I. Higher order constitutive models. Revue française de Génie Civil 4 5 (2000) 187-206
69. Vardoulakis, I., Sulem, J., 1995. Bifurcation Analysis in Geomechanics, chapter 10: Second-grade plasticity theory for geoaterials, Blackie Academic & Professional, pp. 382-425.
70. Vogel T., Gerke H.H., Zhang R., and Van Genuchten M.T. Modeling flow and transport in a two-dimensional dual-permeability system with spatially variable hydraulic properties. J. Hydrol. 238 (2000) 78-89
71. Yang T.H., Liu J., Zhu W.C., Elsworth D., Tham L.G., and Tang C.A. A coupled flow-stress-damage model for groundwater outbursts from an underlying aquifer into mining excavations. Int. J. Rock Mech. Min. Sci. 44 (2007) 87-97
72. Zhao J.D., Sheng D.C., and Zhou W.Y. Shear banding analysis of geomaterials by strain gradient enhanced damage model. Int. J. Solids Struct. 42 (2005) 5335-5355
73. Zimmerman R.W., and Bodvarsson G.S. Effective transmissivity of two-dimensional fracture networks. Int. J. Rock Mech. Min. Sci Geomech. Abstr. 33 4 (1996) 433-438
74. Zimmerman R.W., Hadgu T., and Bodvarsson G.S. A new lumped-parameter model for flow in unsaturated dual-porosity media. Adv. Water Resour. 19 5 (1996) 317-327