A unified representation of the plasticity, creep and relaxation behavior of rocksalt

International Journal of Rock Mechanics and Mining Sciences

Volumn 37, Issue 5, 2000, Pages 787-800

  Yahya, O M L ^a   Aubertin, M ^a   Julien, M R ^b  

^a Ecl P   (Canada)

^b GOLDER ASSOCIATES LTD   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CREEP TESTING; ELASTICITY; KINEMATICS; LOADS (FORCES); MATHEMATICAL MODELS; PLASTICITY; SATURATION (MATERIALS COMPOSITION); STRAIN HARDENING; STRAIN RATE; STRESS ANALYSIS; STRESS RELAXATION;

INELASTIC FLOW; KINEMATIC HARDENING; ROCKSALT; STRAIN TENSOR;

SALT DEPOSITS;

CREEP; FLOW; LOADING; MODEL; PLASTICITY; RELAXATION; ROCK SALT;

EID: 0033913028     PISSN: 01489062     EISSN: None     Source Type: Journal    
DOI: 10.1016/s1365-1609(00)00016-2     Document Type: Article

References (67)

1. O'Neil T. Salt - important throughout history. Mining Engineering. 51:1999;45.
2. Bertram B.M. Salt. Industrial minerals 1998. Mining Engineering. 51:1999;45-47.
3. Hunsche U., Hampel A. Rock salt - the mechanical properties of the host rock material for a radioactive waste repository. Engineering Geology. 52:1999;271-291.
4. Anon. WIPP accepts first shipment of radioactive waste. Mining Engineering. 51:1999;17.
5. Rokahr RB, Staudmeister K. Laboratory tests with hollow cylinders for the dimensioning of gas cavern in rock salt. Tools and Techniques in Rock Mechanics. In: Aubertin M, Hassani F, Mitri H, editors. Proc., NARMS 96, Balkema, 1996. pp. 61-7.
6. Ghoreychi M, Bérest P, Hardy HR, Langer M, editors. Proceedings of the 3rd Conference on the Mechanical Behavior of Salt. Trans. Tech. Pub., Clausthal-Zellerfeld, 1996.
7. Aubertin M, Hardy HR, editors. Proceedings of the 4th Conference on the Mechanical Behavior of Salt. Trans. Tech. Pub., Clausthal-Zellerfeld, 1998.
8. Haasen P. Dislocations and plasticity of ionic crystals. Dislocations and properties of real materials. 1985;312-332 Institute of Metals, London.
9. Poirier J.P. Creep of crystals - High temperature deformation processes in metals, ceramics and minerals. 1985;Cambridge University Press, Cambridge.
10. Cristescu ND, Gioda G, editors. Viscoplasticity of Geomaterials. CISM Courses and Lectures No. 350, Springer-Verlag, 1994.
11. Aubertin M, Julien MR, Li L. The semi-brittle behavior of low porosity rocks. Keynote lecture in Proceedings of NARMS'98, Cancun, Mexico, vol. 2, 1998. pp. 65-90.
12. Aubertin M, Sgaoula J, Gill DE. A damage model for rocksalt: application to tertiary creep. Proceedings of the 7th Symposium on Salt, Kyoto, Tokyo, vol. 1, 1993. pp. 117-25.
13. Aubertin M., Sgaoula J., Servant S., Julien M., Gill D.E., Ladanyi B. An up-to-date version of SUVIC-D for modeling the behavior of salt. Proceedings of the 4th Conference on the Mechanical Behavior of Salt, Trans. Tech. Pub., Clausthal-Zellerfeld. 1998;205-220.
14. Aubertin M. On the physical origin and modeling of kinetic and isotropic hardening of salt. Proceedings of the 3rd Conference on the Mechanical Behavior of Salt, Trans. Tech. Pub., Clausthal-Zellerfeld. 1996;3-17.
15. Handin J., Russel J.E., Carter N.L. Experimental deformation of rocksalt. Amer. Geophys. Union Mono. 36:1986;117-160.
16. Aubertin M., Gill D.E., Ladanyi B. A unified viscoplastic model for the inelastic flow of alkali halides. Mechanics of Materials. 11:1991;63-82.
17. Senseny P.E., Hansen F.D., Russell J.E., Carter N.L., Handin J.W. Mechanical behavior of rock salt: phenomenology and micromechanisms. Int. J. Rock Mech. Mining Sciences and Geomech. Abstr. 29:1992;363-378.
18. Julien MR. Une modélisation constitutive et numérique du comportement mécanique du sel gemme. Ph.D. thesis, Ecole Polytechnique de Montréal, 1999.
19. Hoffman EL, Ehgartner BL. Three dimensional finite elements simulations of room and pillar mines in rock salt. Tools and Techniques in Rock Mechanics. In: Aubertin M, Hassani F, Mitri H, editors. Proc., NARMS 96, Balkema, 1996. pp. 117-23.
20. Wawersik W.R., Zeuch D.H. Modeling and mechanistic interpretation of creep of rocksalt below 200°C. Tectonophysics. 121:1986;125-152.
21. Senseny P.E. Creep properties of four rocksalts. Proceedings of the 2nd Conference on the Mechanical Behavior of Salt, Trans. Tech. Pub., Clausthal-Zellerfeld. 1988;431-444.
22. Carter N.L., Horseman S.T., Russel J.E., Handin J. Rheology of rocksalt. J. Structural Geology. 15:1993;1257-1271.
23. Borm G., Haupt M. Constitutive behavior of rock salt: power law or hyperbolic sine creep? Numerical methods in geomechanics. 1988;1883-1893 Balkema, Rotterdam.
24. Morgan HS, Krieg RD. A comparison of unified creep-plasticity and conventional creep models for rock salt based on predictions of creep behavior measured in several in situ and bench-scale experiments. SANDIA Report, SAND87-1867, 1988. 45 pp.
25. Aubertin M, Gill DE, Ladanyi B. Modeling the transient inelastic flow of rocksalt. Proceedings of the 7th Symposium on Salt, Kyoto, Tokyo, vol. I, 1993. pp. 93-104.
26. Chan K.S., Munson D.E., Fossum A.F., Bodner S.R. A constitutive model for representing coupled creep, fracture, and healing in rock salt. Proceedings of the 4th Conference on the Mechanical Behavior of Salt, Trans Tech. Pub., Clausthal-Zellerfeld. 1998;221-234.
27. Haupt M. A constitutive law for rock salt based on creep and relaxation tests. Rock Mechanics and Rock Engineering. 24:1991;179-206.
28. Aubertin M. Triaxial stress relaxation tests on Saskatchewan potash: discussion. Canadian Geotechnical Journal. 33:1996;375-377.
29. Miller A.K. Unified constitutive equations for creep and plasticity. 1987;Elsevier, Amsterdam.
30. Lemaître J., Chaboche J.L. Mechanics of solid materials. 1990;Cambridge University Press, Cambridge.
31. Krausz A.S., Krausz K. Unified constitutive laws of plastic deformation. 1996;Academic, San Diego.
32. Evans R.W., Harrison G.F. The development of a universal equation for secondary creep rates in pure metals and engineering alloys. Metal Sci. 37:1976;307-313.
33. Langdon TG. Dislocations and creep of real materials. London: Inst. of Metals, London, 1985. pp. 221-38.
34. Cristescu N.D., Suliciu I. Viscoplasticity. 1982;Martinus Nijhoff.
35. Lubliner J. Plasticity theory. 1990;MacMillan.
36. Marchand N.J., Moosbrugger J.C. Non-linear structural modelling for life predictions: physical mechanics and continuum theories. Int. J. Pres. Ves. and Piping. 47:1991;79-112.
37. Freed A.D., Walker K.P. Viscoplasticity with creep and plasticity bounds. Int. J. of Plasticity. 9:1993;213-242.
38. Munson DE, Wawersik W. Constitutive modeling of salt behavior - state of the technology. Proceedings of the 7th ISRM Congress, Aachen, Balkema, Rotterdam, vol. 3, 1993. pp. 1797-810.
39. Langer M. The rheological behavior of rock salt. Proceedings of the 7th ISRM Congress, Aachen, Balkema, Rotterdam, vol. 3, 1993. pp. 1811-9.
40. Orowan E. The creep of metals. J. Wet. Scot. Iron Soc. Inst. 54:1947;45-68.
41. Takeuchi S., Argon A.S. Steady state creep of single-phase crystalline matter at high temperature. J. Mat. Sci. 11:1976;1542-1566.
42. Cadek J. The back stress concept in power creep law of metals: a review. Material Science and Engineering. 9:1987;79-92.
43. Orlova A. On the relation between dislocation structure and internal stress measured in pure metals and single alloys in high temperature creep. Acta Met. Mater. 39:1991;2805-2813.
44. Aubertin M, Gill DE, Ladanyi B. The active stress concept and the creep of rocksalt. Proceedings of the 6th International Congress on Rock Mechanics, Balkema, Rotterdam, vol. 3, 1987. pp. 1501-3.
45. Chaboche J.L. Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int. Journal of Plasticity. 5:1989;247.
46. Penkalla H.J., Schubert F., Nickel H. Analysis, application and experimentally verification of creep laws in multiaxial and complex loading conditions on Inconel 617 tube material. Proceedings of the International Conference on Constitutive Laws for Engineering Materials. 1989;399-404 International Academic Publishers.
47. Ishikawa H., Sasaki K. A unified constitutive model for plasticity, creep and ratchetting. Proceedings of Plasticity'95, 5th International Symposium on Plasticity and its Current Applications. 1995;605-608.
48. Nix WD, Ilschner B. Mechanisms controlling creep of single phase metals and alloys. Proceedings of the 5th International Conference on Strength of Metals and Alloys, vol. 3, 1980. pp. 1503-30.
49. Mughrabi H. Dislocation wall and cell structures and long-range internal stresses in deformed metal crystals. Acta Met. 31:1983;1367-1379.
50. Lowe T.C., Miller A.K. Modelling internal stresses in the nonelastic deformation of metals. J. Engng Mat. Techn., ASME. 108:1986;365-373.
51. Aubertin M., Gill D.E., Ladanyi B. An internal variable model for the creep of rocksalt. Rocks Mechanics and Rock Engineering. 24:1991;81-97.
52. Aubertin M., Julien M.R., Servant S., Gill D.E. A rate dependent model for the ductile behavior of salt rocks. Canadian Geotechnical Journal. 36:1999;660-674.
53. Senseny P.E., Brodsky N.S., De Vries K.L. Parameter evaluation for a unified constitutive model. J. of Engng Mat. Tech., ASME. 115:1993;157-162.
54. Aubertin M., Servant S., Gill D.E. Experimental identification of kinematic and isotropic hardening in rocksalt. Nelson, Laubach. Rock mechanics models and measurement challenges for industry. 1994;723-730 Balkema.
55. Evans H.E., Knowles G. Dislocation creep in non-metallic materials. Acta Met. 26:1978;141-145.
56. Gupta I., Li C.M. Stress relaxation, internal stress and work hardening in LiF and NaCl crystals. Mat. Science Engng. 6:1970;20-26.
57. Sprackling M.T. Dislocation mobility and work hardening in sodium chloride. Phil. Mag. 27:1973;265-271.
58. Martin J.L., Argon A.S. Low energy dislocation structures due to recovery and creep. Mat. Science Engng. 81:1986;337-348.
59. Argon A.S., Battacharya A.K. Primary creep in nickel: experiments and theory. Acta Met. 35:1987;1499-1514.
60. Aubertin M., Gill D.E. Elastoplastic modeling for the ductile behavior of polycristalline sodium chloride with SUVIC. Int. Journal of Plasticity. 9:1993;479-505.
61. Chan K.S., Bodner S.R., Lindholm U.S. Phenomenological modelling of hardening and thermal recovery in metals. ASME J. Eng. Mat. Tech. 110:1988;1-8.
62. Aubertin M., Gill D.E., Servant S. Preliminary determination of constants for an updated version of the SUVIC model. Proceedings of the 3rd Conference on the Mechanical Behavior of Salt. Trans. Tech. Pub., Clausthal-Zellerfeld. 1996;19-30.
63. Rawley M.A., Thornton E.A. Constitutive modeling of the viscoplastic response of hastelloy-X and aluminium. J. Engng Mater. Tech., ASME. 118:1996;19-27.
64. Hunsche U. Uniaxial and triaxial creep and failure tests on rock: experimental technique and interpretation. Viscoplastic Behavior of Geomaterials. CISM - Courses and Lectures No. 350, Springer-Verlag, 1994. pp. 1-54.
65. Pilvin P. Approches multiéchelles pour la prévision du comportement anélastique des métaux. Ph.D. thesis, Université Paris VI, France, 1988.
66. Miller A.K. An inelastic constitutive model for monotonic, cyclic and creep deformation: Part I - Equations development and analytical procedures. ASME J. of Eng. Tech. 98:1976;97-105.
67. Besson J., Foerch R. Large scale object-oriented finite element code design. Comput. Methods Appl. Mech. Engng. 142:1997;165-187.