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Influence of damage on crack-tip fields under small-scale-creep conditions

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Abstract

The growth of a sharp crack typically is accompanied by a damage or fracture process zone that propagates with the crack tip. The present understanding of the transient crack-tip fields under small-scale-creep conditions is limited primarily to analyses based upon creep flow rules that neglect damage. In this paper, Kachanov-type creep-damage constitutive equations are developed that include the dilatational creep that arises from caviation and microcrack damage. A finite element calculation demonstrates the effects of this type of creep-damage behavior on the asymptotic, singular crack-tip fields.

Résumé

La croissance d'une fissure aiguë est typiquement accompagnée d'une zone d'endommagement ou de rupture qui accompagne l'extrémité de la fissure tout au long de sa propagation.

La perception actuelle des champs transitoires à la pointe d'une fissure sous des conditions de fluage à petite échelle est essentiellement limitée à une analyse reposant sur les lois d'écoulement en fluage, sans considération d'endommagement. Dans cette étude, on développe les apparitions de type Kachanov représentatives du dommage par fluage, qui incluent le fluage en traction résultant de la cavitation et d'un endommagement par microfissures.

Un calcul par éléments finis démontre les effets de ce type de comportement d'endommagement par fluage sur les champs de contraintes singuliers et asymptotiques à l'extrémité d'une fissure.

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References

  1. H. Riedel, Fracture at High Temperatures, Springer-Verlag (1987).

  2. D.E. Hawk and J.L. Bassani, Journal of the Mechanics and Physics of Solids 34 (1986) 191–212.

    Google Scholar 

  3. J.L. Bassani, D.E. Hawk, and F.-H. Wu, in ASTM STP 995, American Society for Testing and Materials (1988) 68–95.

  4. C.Y. Hui, International Journal of Solids and Structures 22 (1986) 357–372.

    Google Scholar 

  5. F.-H. Wu, J.L. Bassani, and V. Vitek, Journal of the Mechanics and Physics of Solids 34 (1986) 455–475.

    Article  Google Scholar 

  6. J.L. Bassani, D.E. Hawk, and A. Saxena, in ASTM STP 995, American Society for Testing and Materials (1988) 7–26.

  7. T. Gibbons, Report on International VAMAS Task Group on Creep Crack Growth, to appear (1988).

  8. H. Riedel, International Journal of Fracture 42 (1990) 173–188.

    Google Scholar 

  9. H. Riedel, in Creep in Structures, A.R.S. Ponter and D.R. Hayhurst (eds.), Springer Verlag (1981) 504–519.

  10. C.Y. Hui and V. Banthia, International Journal of Fracture 25 (1984) 53–67.

    Google Scholar 

  11. L.M. Kachanov, Jzvestiya Akademie Nauk SSSR Otd. Tech. Nauk., No. 8 (1958) 26–31.

  12. L.M. Kachanov, Introduction to Continuum Damage Mechanics, Martinus Nijhoff (1986).

  13. D.R. Hayhurst, Journal of the Mechanics and Physics of Solids 20 (1972) 381–390.

    Article  Google Scholar 

  14. D.R. Hayhurst, P.R. Brown and C.J. Morrison, Philosophical Transactions of the Royal Society of London, A311 (1984) 131–158.

    Google Scholar 

  15. J.W. Hutchinson, Acta Metallurgica 31 (1983) 1079–1088.

    Article  Google Scholar 

  16. V. Tvergaard, International Journal of Fracture 31 (1986) 183–209.

    Google Scholar 

  17. A.S. Argon, C.W. Lau, B. Ozmat, and D.M. Parks, in Fundamentals of Deformation and Fracture, B.A. Bilby, J.J. Miller, and J.R. Willis (eds.), Cambridge University Press, England (1985) 243–262.

    Google Scholar 

  18. G.J. Rodin and D.M. Parks, Mechanics of Materials 5 (1986) 221–228.

    Article  Google Scholar 

  19. F.Z. Li, A. Needleman and C.F. Shih, International Journal of Fracture 38 (1988) 241–273.

    Google Scholar 

  20. J.L. Bassani and V. Vitek, in Nonlinear Fracture Mechanics, L.B. Freund and C.F. Shih (eds.), Proceedings of 14th U.S. National Congress of Theoretical and Applied Mechanics (1982) 127–133.

  21. J.L. Bassani and D.E. Hawk, in Proceedings of MECAMAT International Seminar on High Temperature Fracture Mechanisms and Mechanics, P. Bensussan et al. (eds.) MECAMET, Moissy-Cramayet (1987) 19–40.

    Google Scholar 

  22. J.L. Bassani, Materials Science and Engineering A103 (1988) 115–123.

    Article  Google Scholar 

  23. H. Riedel and J.R. Rice, ASTM STP 700, American Society for Testing and Materials (1980) 112–130.

  24. J.L. Bassani and F.A. McClintock, International Journal of Solids and Structures 17 (1981) 479–492.

    Google Scholar 

  25. C.Y. Hui and H. Riedel, International Journal of Fracture 17 (1981) 409–425.

    Google Scholar 

  26. H. Riedel, in Fundamentals of Deformation and Fracture, B.A. Bilby, K.J. Miller, and J.R. Willis (eds.), Cambridge University Press, England (1985) 293–309.

    Google Scholar 

  27. M.B. Kanchi, O.C. Zienkiewicz and D.R.J. Owen, International Journal for Numerical Methods in Engineering 12 (1978) 169–181.

    Google Scholar 

  28. D.E. Haw, Ph.D. thesis, University of Pennsylvania (1986).

  29. I.C. Cormeau, International Journal of Numerical Methods in Engineering 9 (1975) 109–127.

    Google Scholar 

  30. J.C. Nagtegaal, D.M. Parks, and J.R. Rice, Computer Methods in Applied Mechanics and Engineering 4 (1974) 153–177.

    Google Scholar 

  31. H. Akima, ACM Transactions Math Software 4 (1978) 148–159.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, 19104, Philadelphia, PA, USA

    John L. Bassani

  2. AT&T Bell Laboratories, 8103, Allentown, PA, USA

    Donald E. Hawk

Authors
  1. John L. Bassani
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  2. Donald E. Hawk
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Bassani, J.L., Hawk, D.E. Influence of damage on crack-tip fields under small-scale-creep conditions. Int J Fract 42, 157–172 (1990). https://doi.org/10.1007/BF00018384

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  • DOI: https://doi.org/10.1007/BF00018384

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