Journal of Materials Science

, Volume 16, Issue 5, pp 1142–1150 | Cite as

On some aspects of breakdown of β″-alumina solid electrolyte

  • Anil V. Virkar


A theoretical expression is derived for the pressure generated in the sodium-filled cracks of β″-alumina under electrolytic conditions by treating the flux of sodium ions to the cracks in terms of the Laplace equation for the appropriate boundary conditions. It is demonstrated that the pressure generated decreases with increasing crack length for a given current density in contrast to the predictions of some investigators. It is suggested that some other factors must be considered if the microfracture model via Poiseuille pressure is to be a viable mechanism for electrolyte degradation.


Sodium Polymer Alumina Boundary Condition Crack Length 
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  1. 1.
    G. J. Tennenhouse, R. C. Ku, R. H. Richman andT. J. Whalen,Bull. Amer. Ceram. Soc. 54 (1975) 523.Google Scholar
  2. 2.
    R. H. Richman andG. J. Tennenhouse,J. Amer. Ceram. Soc. 58 (1975) 63.Google Scholar
  3. 3.
    R. D. Armstrong, T. Dickinson andJ. Turner,Electrochim. Acta 19 (1974) 187.Google Scholar
  4. 4.
    D. K. Shetty, A. V. Virkar andR. S. Gordon, in “Fracture Mechanics of Ceramics”, Vol. 4, edited by R. C. Bradt, D. P. H. Haselman and F. F. Lange (Plenum Press, New York, 1978) p. 651.Google Scholar
  5. 5.
    L. C. Dejonghe, private communication (1979).Google Scholar
  6. 6.
    M. P. J. Brennan,Electrochim. Acta 25 (1980) 621.Google Scholar
  7. 7.
    I. N. Sneddon, “Mixed Boundary Value Problems of Potential Theory” (North-Holland Pub., Amsterdam, 1966).Google Scholar
  8. 8.
    J. D. Eshelby, “Fracture Toughness”, ISI Publication 121, (The Iron and Steel Institute, London, 1969).Google Scholar
  9. 9.
    I. N. Sneddon andM. Lowengrub, “Crack Problems in the Classical Theory of Elasticity” (John Wiley and Sons, New York, 1969).Google Scholar
  10. 10.
    M. P. Stallybrass,Int. J. Eng. Sci. 8 (1970) 351.Google Scholar
  11. 11.
    J. C. Berg andA. Acrivos,Chem. Eng. Sci. 20 (1965) 737.Google Scholar
  12. 12.
    A. V. Virkar, L. Viswanathan andD. R. Biswas,J. Mater. Sci. 15 (1980) 302.Google Scholar
  13. 13.
    L. Viswanathan andA. V. Virkar, unpublished work (1980).Google Scholar

Copyright information

© Chapman and Hall Ltd. 1981

Authors and Affiliations

  • Anil V. Virkar
    • 1
  1. 1.Department of Materials Science and EngineeringUniversity of UtahSalt Lake CityUSA

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