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A thermo-plastic/viscoplastic damage model for geomaterials

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Abstract

A thermo-plastic/viscoplastic damage coupled model was formulated to describe the time independent and time dependent behaviors of geomaterials under temperature effect. The plastic strain was divided into instantaneous plastic strain and creep plastic strain. To take temperature effect into account, a temperature variable was introduced into the instantaneous and creep plastic behavior descriptions and damage characterization, and a linear thermal expansion law was used in constitutive equation formulation. According to the mechanical behavior of rock salt, a specific model was proposed based on the previous model and applied to Avery rock salt, in which the numerical results obtained from our model had a good agreement with the data from experiments.

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References

  1. Kelvin, L., Elasticity. In Encyclopedia Britannica (9th edition), Baynes, T.S. (edited.). London: Adam & Charles Black, 1878.

    Google Scholar 

  2. Bingham, E.C. and Durham, T.C., The viscosity and fluidity of suspensions of finely divided solids in liquids. American Chemical Journal, 1911, 46: 278–297.

    Google Scholar 

  3. Duvaut, G. and Lions, L.J., Inequalities in Mechanics and Physics. Berlin: Springer, 1962.

    MATH  Google Scholar 

  4. Perzyna, P., Thermodynamic theory of viscoplasticity. New York: Academic Press, 1971.

    Book  Google Scholar 

  5. Valanis, K.C., A theory of viscoplasticity without a yield surface. Archives of Mechanics, 1971, 23: 517–551.

    MathSciNet  MATH  Google Scholar 

  6. Miller, A.K., An inelastic constitutive model for monotonic, cyclic, and creep deformation. ASME, Journal of Engineering Materials and Technology, 1976, 98: 97–105.

    Article  Google Scholar 

  7. Bodner, S.R. and Merzer, A., Viscoplastic constitutive equations for copper with strain rate history and temperature effects. ASME, Journal of Applied Mechanics, 1978, 100: 388–394.

    Google Scholar 

  8. Liu, M.C.M. and Krempl, E., A uniaxial viscoplastic model based on total strain and overstress. Journal of Mechanics and Physical of Solids, 1979, 27(5–6): 377–391.

    Article  Google Scholar 

  9. Lemaitre, J. and Chaboche, J.L., Mechanics of Solid Materials. Cambridge: Cambridge University Press, 1998.

    MATH  Google Scholar 

  10. Munson, D.E. and Dawson, P.R., Salt constitutive modeling using mechanism maps. In: First Conference of Mechanical Behaviors of Salt, Pennsylvania State University, 1984.

  11. Langer, M., Rheological behavior of rock masses. In: Proceedings of 4th International Congress on Rock Mechanics, Montreux, 1979, 3: 29–96.

    Google Scholar 

  12. Cristescu, N., Damage and failure of viscoplastic rock-like materials. International Journal of Plasticity, 1986, 2(2): 189–204.

    Article  Google Scholar 

  13. Dahou, A., Shao, J.F. and Bederiat, M., Experimental and numerical investigations on transient creep of porous chalk. Mechanics of Materials, 1995, 21(2): 147–158.

    Article  Google Scholar 

  14. Jin, J. and Cristescu, N., An elastic viscoplastic model for transient creep of rock salt. International Journal of Plasticity, 1998, 14(1): 85–107.

    Article  Google Scholar 

  15. Maranini, E. and Yamaguchi, T., A non-associated viscoplastic model for the behaviour of granite in triaxial compression. Mechanics of Materials, 2001, 33(5): 283–293.

    Article  Google Scholar 

  16. Shao, J.F., Zhu, Q.Z. and Su, K., Modeling of creep in rock materials in terms of material degradation. Computers and Geotechnics, 2003, 30(7): 549–555.

    Article  Google Scholar 

  17. Pietruszczak, S., Lydzba, D. and Shao, J.F., Description of creep in frictional materials in terms of microstructure evolution. Journal Engineering Mechanics, 2004, 130(6): 681–690.

    Article  Google Scholar 

  18. Zhou, H., Jia, Y. and Shao, J.F., A unified elastic-plastic and viscoplastic damage model for quasi-brittle rocks. International Journal of Rock and Mining Sciences, 2008, 45(8): 1237–1251.

    Article  Google Scholar 

  19. Lubliner, J., On the thermodynamic foundations of non-linear solid mechanics. International Journal of Non-Linear Mechanics, 1972, 7(3): 237–254.

    Article  Google Scholar 

  20. Wawersik, W.R. and Hannum, D.W., Mechanical behavior of New Mexico rock salt in triaxial compression up to 200°C. Journal of geophysical research, 1980, 85(b2): 891–900.

    Article  Google Scholar 

  21. Cristescu, N. and Hunsche, U., Time Effects in Rock Mechanics. New York: John Wiley & Sons Incorporation, 1998.

    Google Scholar 

  22. Senseny, P.E., Hansen, F.D., Russell, J.E., Carter, N.L. and Handin, J.W., Mechanical behavior of rock salt: phenomenology and micromechanisms. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1992, 29(4): 363–378.

    Article  Google Scholar 

  23. Langer, M., Geotechnical investigation methods for rock salt. Bulletin of IAEG, 1982, 25: 155–164.

    Google Scholar 

  24. Udo, H. and Andreas, H., Rock salt—the mechanical properties of the host rock material for a radioactive waste repository. Engineering Geology, 1999, 52(3): 271–291.

    Google Scholar 

  25. Willam, K.J. and Warnkee, E.P., Constitutive model for the triaxial behavior of concrete. In: Proceedings of International Association of Bridge and Structural Engineers Seminar on ‘Concrete Structures Subjected to Triaxial Stresses’, Paper III-1, Bergamo: ISMES, 1975, 174–186.

    Google Scholar 

  26. Pietruszczak, S., Jiang, J. and Mirza, F.A., An elastoplastic constitutive model for concrete. International Journal of Solids and Structures, 1988, 24(7): 705–722.

    Article  Google Scholar 

  27. Mazars, J., Application de la me’ canique de l’endommagement non lineaire et a la rupture du beton de structure. Ph.D. Thesis, University Paris 6, 1984 (in French).

  28. Mura, T., Micromechanics of defects in solids (2nd ed). Dordrecht: Martinus Nijhoff, 1987.

    Book  Google Scholar 

  29. Nemat-Nasser, S. and Hori, M., Micromechanics: Overall Properties of Heterogeneous Materials. Amsterdam: North-Holland, 1993.

    MATH  Google Scholar 

  30. Pfeitle, T.W., Mellegard, K.D. and Senseny, P.E., Preliminary Constitutive Properties for Salt and Nonsah Rocks from Four Potential Repository Sites. Report ONWI-450, prepared by RE/SPEC Inc. for Office of Nuclear Waste Isolation, Battelle Memorial Institute, Columbus, OH, 1983.

  31. Frost, H.J. and Ashby, M.F., Deformation-mechanism Maps. New York: Pergamon Press, 1982.

    Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, China

    Hui Zhou & Dawei Hu

  2. LML, UMR 8107, CNRS, University of Lille I, Villeneuve d’Ascq, France

    Dawei Hu, Fan Zhang & Jianfu Shao

  3. School of Civil Engineering and Architecture, Hubei University of Technology, Wuhan, 430068, China

    Fan Zhang

Authors
  1. Hui Zhou
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  2. Dawei Hu
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  3. Fan Zhang
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  4. Jianfu Shao
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Corresponding author

Correspondence to Hui Zhou.

Additional information

Project supported by the National Natural Science Foundation of China(NSFC) (Nos. 10772190, 50979104 and 51009132).

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Zhou, H., Hu, D., Zhang, F. et al. A thermo-plastic/viscoplastic damage model for geomaterials. Acta Mech. Solida Sin. 24, 195–208 (2011). https://doi.org/10.1016/S0894-9166(11)60021-9

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  • DOI: https://doi.org/10.1016/S0894-9166(11)60021-9

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