The effect of surface-limited microcracks on the effective Young's modulus of ceramics

Part III Experiments

Abstract

The effect of aligned Vickers indentation cracks upon the Young's modulus of polycrystalline alumina bars was investigated. The measured Young's modulus for indented specimens was compared with the theoretical predictions based on a variety of models, including a model developed by the authors.

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References

  1. 1.

    E. D. Case andY. Kim,J. Mater. Sci. 28 (1993) 1885.

    Article  Google Scholar 

  2. 2.

    Idem, ibid. 28 (1993) 1901.

    Article  Google Scholar 

  3. 3.

    B. Budiansky andR. J. O'connell,Int. J. Solids Struct. 12 (1976) 81.

    Article  Google Scholar 

  4. 4.

    A. Hoenig,ibid. 15 (1979) 137.

    Article  Google Scholar 

  5. 5.

    N. Laws andJ. R. Brockenbrough,ibid. 23 (1987) 1247.

    Article  Google Scholar 

  6. 6.

    H. P. Kirchner andE. D. Issacson,J. Amer. Ceram. Soc. 65 (1982) 55.

    CAS  Article  Google Scholar 

  7. 7.

    H. P. Kirchner,ibid. 67 (1984) 347.

    CAS  Article  Google Scholar 

  8. 8.

    B. L. Symonds, R. F. Cook andB. R. Lawn,J. Mater. Sci. 18 (1983) 1306.

    Article  Google Scholar 

  9. 9.

    A. G. Evans andE. A. Charles,J. Amer. Ceram. Soc. 59 (1976) 371.

    CAS  Article  Google Scholar 

  10. 10.

    B. R. Lawn andD. B. Marshall,ibid. 62 (1979) 347.

    CAS  Article  Google Scholar 

  11. 11.

    G. R. Anstis, P. Chantikul, B. R. Lawn andD. B. Marshall,ibid. 64 (1981) 533.

    CAS  Article  Google Scholar 

  12. 12.

    F. Forster,Z. Metallkde 29(4) (1937) 109.

    Google Scholar 

  13. 13.

    G. Pickett,ASTM Proc. 45 (1945) 846.

    Google Scholar 

  14. 14.

    D. P. H. Hasselman, “Tables for the Computation of Shear Modulus and Young's Modulus of Elasticity from Resonant Frequencies of Rectangular Prisms” (Carborundum Co., Niagara Falls, New York, 1961).

    Google Scholar 

  15. 15.

    S. Spinner andW. E. Tefft,ASTM Proc. 61 (1961) 1221.

    Google Scholar 

  16. 16.

    Y. Kim, W. J. Lee andE. D. Case, “Reinforced Aluminosilicate Glass Ceramic Composite”, in “Metal and Ceramic Matrix Composites: Processing, Modeling and Mechanical Behavior”, Edited by R. B. Bhagat, A. H. Clauer, P. Kumar and A. M. Ritter (Minerals, Metals and Materials Society, Warrendale, PA, 1990) pp. 479–486.

    Google Scholar 

  17. 17.

    Idem, in Proceedings of 5th Technical Conference, 1990, American Society for Composites (Technomic Press, Lancaster, PA, 1990) pp. 871–881.

    Google Scholar 

  18. 18.

    Y. Kim andE. D. Case,J. Mater. Sci. 27 (1992) 1537.

    CAS  Article  Google Scholar 

  19. 19.

    W. J. Lee andE. D. Case,Mater. Sci. Engng A119 (1989) 113.

    CAS  Article  Google Scholar 

  20. 20.

    Idem, J. Mater. Sci. 25 (1990) 5043.

    CAS  Article  Google Scholar 

  21. 21.

    P. F. Becher, C. Hsueh, P. Angelini andT. N. Tiegs,J. Amer. Ceram. Soc. 71 (1988) 1050.

    CAS  Article  Google Scholar 

  22. 22.

    D. K. Shetty, I. G. Wright, P. N. Mincer andA. H. Clauer,J. Mater. Sci. 20 (1985) 1873.

    CAS  Article  Google Scholar 

  23. 23.

    E. Schreiber, O. L. Anderson andN. Soga, “Elastic Constants and Their Measurements” (McGraw-Hill, New York, 1974) Ch. 4.

    Google Scholar 

  24. 24.

    D. B. Marshall andB. R. Lawn,J. Amer. Ceram. Soc. 63 (1980) 532.

    Article  Google Scholar 

  25. 25.

    E. R. Fuller, B. R. Lawn andR. F. Cook,ibid. 66 (1983) 314.

    Article  Google Scholar 

  26. 26.

    C. C. Chiu andE. D. Case,J. Mater. Sci. 27 (1992) 2353.

    CAS  Article  Google Scholar 

  27. 27.

    J. C. Wang,ibid. 19 (1984) 809.

    CAS  Article  Google Scholar 

  28. 28.

    K. K. Phani,J. Mater. Sci. Lett. 15 (1986) 747.

    Article  Google Scholar 

  29. 29.

    K. K. Phani andS. K. Niyogi,ibid. 5 (1986) 427.

    CAS  Article  Google Scholar 

  30. 30.

    G. Simmons andH. Wang, “Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook”, (MIT Press, Cambridge, Massachusetts, 1971) p. 329.

    Google Scholar 

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Kim, Y., Case, E.D. & Gaynor, S. The effect of surface-limited microcracks on the effective Young's modulus of ceramics. J Mater Sci 28, 1910–1918 (1993). https://doi.org/10.1007/BF00595764

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Keywords

  • Polymer
  • Alumina
  • Theoretical Prediction
  • Vickers Indentation
  • Indentation Crack