Skip to main content
SpringerLink
Log in

Nucleation on the crack tip and transformation toughness in crystals undergoing structural phase transitions

  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

Stress-induced local phase transition on both motionless and moving cracks is considered. The asymptotically exact solution describing a small nucleus of a new phase on a crack tip is obtained. The nucleation temperature value is determined and nuclei phase diagram is constructed on the background of a phase diagram of bulk transition. It is demonstrated that nucleation is possible only during slow subcritical crack growth. The exact solution of the phase boundary equilibria equation is obtained for the case of a large nucleus. It is shown that fracture toughness has a maximum near the transition point.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. L. Porter andA. H. Heuer,J. Amer. Ceram. Soc. 60 (1977) 183.

    Article  CAS  Google Scholar 

  2. L. K. Lenz andA. H. Heuer,ibid. 65 (1982) 192.

    Article  Google Scholar 

  3. V. G. Garin,Sverhtverdie materiali 2 (1982) 17.

    Google Scholar 

  4. E. Hornbogen,Acta Metall. 26 (1978) 147.

    Article  CAS  Google Scholar 

  5. S. O. Kramorov, N. Ya. Yegorov andL. M. Kantsel'son,Fiz. Tverdogo Tela 28 (1986) 2858.

    Google Scholar 

  6. V. K. Vlasko-Vlasov, L. M. Deduh, M. V. Indenbom andV. I. Nikitenko,Zh. Eksp. Teor. Fiz. 84 (1983) 277.

    CAS  Google Scholar 

  7. V. K. Vlasko-Vlasov andM. V. Indenbom,ibid. 86 (1984) 1084.

    CAS  Google Scholar 

  8. M. V. Belousov andB. E. Volf,Zh. Eksp. Teor. Fiz. Lett. 31 (1980) 348.

    CAS  Google Scholar 

  9. S. N. Zolotarev, I. B. Sidorova, Yu. A. Skakov andV. A. Solov'ev,Fiz. Tverdogo Tela 20 (1978) 775.

    CAS  Google Scholar 

  10. R. P. Indel, R. W. Rice andD. Levis,J. Amer. Ceram. Soc. 65 (1982) 108.

    Article  Google Scholar 

  11. T. K. Gupta, F. F. Lange andJ. H. Behtold,J. Mater. Sci. 13 (1978) 1464.

    Article  CAS  Google Scholar 

  12. P. F. Beher andV. J. Tennery, “Fracture Mechanics of Ceramics” Vol. 6 (Plenum, New York, 1983) p. 383.

    Google Scholar 

  13. N. Claussen,Z. Werkstofftechnic 13 (1982) 138.

    Article  CAS  Google Scholar 

  14. V. N. Var'uhin, A. T. Kozakov, V. A. Dem'janchenko andS. I. Shevtsova,Superconductivity 2 (1989) 26.

    Google Scholar 

  15. N. F. Morozov, “Matematicheskie Voprosi Teorii Treshin” (Nauka, Moscow, 1984).

    Google Scholar 

  16. S. D. Antolovich,Trans. Met. Soc. AIME 242 (1968) 2371.

    Google Scholar 

  17. R. M. McMeeking andA. G. Evans,J. Amer. Ceram. Soc. 65 (1982) 242.

    Article  Google Scholar 

  18. B. Budianski, J. M. Hutchinson andJ. M. Lambropoulos,Int. J. Solid Structures 19 (1983) 337.

    Article  Google Scholar 

  19. F. F. Lange,J. Mater. Sci. 17 (1982) 235.

    Article  CAS  Google Scholar 

  20. Idem., ibid. 17 (1982) 240.

    Article  CAS  Google Scholar 

  21. M. M. Vainberg andV. A. Trenogin, “Teoria Vetvlenia Reshenii Nelineinih Uravnenii” (Nauka, Moscow, 1969).

    Google Scholar 

  22. V. Z. Parton andV. G. Borisovski, “Dinamicheskaja Mechanika Razrushenija” (Mashinostrojenije, Moscow, 1985).

    Google Scholar 

  23. A. L. Roitburd,Usp. Fizi. Nauk 113 (1974) 69.

    CAS  Google Scholar 

  24. Idem., Fiz. Tverdogo Tela 26 (1984) 2025.

    CAS  Google Scholar 

  25. F. Iona andD. Shirane, “Segnetoelectricheskije Kristalli” (Mir, Moscow, 1965).

    Google Scholar 

  26. Landolt-Bornstein, “Zahlenwerte und Functionen aus Naturwissenshaften und Technik” edited by K. N. Hellweg Vol. 3. “Kristall und Festkorperphysic” (Springer-Verlag, 1982).

  27. D. Mishel, L. Mazerolles, M. Perez andY. Jorba,J. Mater. Sci. 18 (1983) 2618.

    Article  Google Scholar 

  28. A. A. Bul'bich,J. Techn. Phys. Lett. 12 (1986) 645.

    Google Scholar 

  29. Idem., Metallophizika 9 (1987) 88.

    Google Scholar 

  30. N. I. Muskhelishvily, “Nekotirije Osnovnije Zadachi Matematicheskoi Teorii Uprugosti” (Nauka, Moscow, 1966).

    Google Scholar 

  31. J. D. Eshelby,Solid State Phys. 3 (1956) 79.

    Article  CAS  Google Scholar 

  32. E. G. Fesenko, V. G. Gavril'achenko andA. F. Semenchev,Domennaja Struktura Mnogoosnih Segnetoelectricheskih Kristallov. Rostov-on-Don University, Rostov-on-Don (1990).

    Google Scholar 

  33. R. C. Pohanka, S. W. Freiman andB. A. Bender,J. Amer. Ceram. Soc. 61 (1978) 72.

    Article  CAS  Google Scholar 

  34. Li Chung Ming andM. H. Manghnani,Mater. Res. Soc. Symp. Proc. 22 (1984) 81.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Institute of Physics, Rostov State University, Rostov-on-Don, USSR

    A. A. Bulbich

Authors
  1. A. A. Bulbich
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bulbich, A.A. Nucleation on the crack tip and transformation toughness in crystals undergoing structural phase transitions. J Mater Sci 27, 1070–1080 (1992). https://doi.org/10.1007/BF01197662

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01197662

Keywords

Search

Navigation