Log in

Solution-precipitation creep—continuum mechanical formulation and micromechanical modelling

  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

Solution-precipitation creep is considered to be one of the major deformation mechanisms of polycrystalline materials containing a fluid phase. Geological evidence suggests that it is particularly important for processes occurring in the earth crust at very low deviatoric stress. We develop a continuum mechanical model based on the assumption that the energy dissipated during deformation depends solely on the normal velocity of the grain boundary movement due to precipitation or solution of material and the velocity of material transport within the grain interfaces. This approach allows us to identify the driving force responsible for solution-precipitation creep in an unambiguous way. Moreover, a micromechanical approach based on an averaging assumption of a Voigt/Sachs type is given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Coble, R.L.: A model for boundary diffusion controlled creep in polycrystalline materials. J Appl Phys 34, 1679–1682, (1963)

    Google Scholar 

  2. Cooper, R.F., Kohlstedt, D.L., Chyung, K.: Solution-precipitation enhanced creep in solid-liquid aggregates which display a non-zero dihedral angle. Acta Metall 37, 1759–1771 (1989)

    Google Scholar 

  3. Epstein, M., Maugin, G.A.: On the geometrical material structure of anelasticity. Acta Mech 115, 119–131 (1996)

    Google Scholar 

  4. Ford, J.M., Wheeler, J., Movchan, A.B.: Computer simulation of grain boundary creep. Acta Mater 50, 3941–3955 (2002)

    Google Scholar 

  5. Ford, J.M., Ford, N.J., Wheeler, J.: Simulation of grain boundary diffusion creep: analysis of some new numerical techniques. Proc R Soc Lond A 460, 2395–2413 (2004)

    Google Scholar 

  6. Lohkämper, T.H.K., Jordan, G., Costamagna, R., Stöckhert, B., Schmahl, W.W.: Phase shift interference microscope study of dissolution-precipitation processes of nonhydrostatically stressed halite crystals in solution. Contrib Mineral Petrol 146, 263–274 (2003)

    Google Scholar 

  7. Maugin, G.A.: ``Material'' mechanics of materials. Theor Appl Mech 27, 1–12 (2002)

    Google Scholar 

  8. Paterson, M.S.: A theory for granular flow accommodated by material transfer via an intergranular fluid. Tectonphysics 245, 135–151 (1995)

    Google Scholar 

  9. Renner, J., Evans, B., Hirth, G.: On the rheologically critical melt fraction. Earth Plan Sci Lett 181, 585–594 (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. Hackl.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hackl, K., Ilić, S. Solution-precipitation creep—continuum mechanical formulation and micromechanical modelling. Arch Appl Mech 74, 773–779 (2005). https://doi.org/10.1007/s00419-005-0410-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-005-0410-9

Keywords

Navigation