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Effects of crack depth on elastic-plastic fracture toughness

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Abstract

Short crack test specimens (a/W ≪ 0.50) are frequently employed when conventional deep crack specimens are either inappropriate or impossible to obtain, for example, in testing of particular microstructures in weldments and in-service structures containing shallow surface flaws. Values of elastic-plastic fracture toughness, here characterized by the crack tip opening displacement (CTOD), are presented for square (cross-section) three-point bend specimens with a/W ratios of 0.15 and 0.50 throughout the lower-shelf and lower-transition regions. Three dimensional, finite-element analyses are employed to correlate the measured load and crack mouth opening displacement (CMOD) values to the corresponding CTOD values, thus eliminating a major source of experimental difficulty in previous studies of shallow crack specimens. In the lower-transition region, where extensive plasticity (but no ductile crack growth) precedes brittle fracture, critical CTOD values for short crack specimens are significantly larger (factor of 2–3) than the CTOD values for deep crack specimens at identical temperatures. Short crack specimens are shown to exhibit increased toughness at the initiation of ductile tearing and decreased brittle-to-ductile transition temperatures. Numerical analyses for the two a/W ratios reveal large differences in stress fields ahead of the crack tip at identical CTOD levels which verify the experimentally observed differences in critical CTOD values. Correlations of the predicted stresses with measured critical CTOD values demonstrate the limitations of single-parameter fracture mechanics (as currently developed) to characterize the response.

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References

  1. G. Matsoukas, B. Cotterell and Y.W. Mai, Journal of the Mechanics and Physics of Solids 34, No. 5 (1986) 499–510.

    Article  Google Scholar 

  2. P.M.de Castro, J. Spurrier and P. Hancock, ASTM STP 677 (1979) 486–497.

    Google Scholar 

  3. J.D.G. Sumpter, International Journal of Pressure Vessel and Piping 10 (1982) 169–180.

    Article  Google Scholar 

  4. B. Cotterell, Q.F. Li, D.Z. Zhang and Y.W. Mai, Engineering Fracture Mechanics 21, No. 2 (1985) 239–244.

    Article  Google Scholar 

  5. Q.E. Li, Engineering Fracture Mechanics 22, No. 1 (1985) 9–15.

    Google Scholar 

  6. Q.F. Li, L. Zhou and S. Li, Engineering Fracture Mechanics 23, No. 5 (1986) 925–928.

    Article  Google Scholar 

  7. D.Z. Zhang and H. Wang, Engineering Fracture Mechanics 26, No. 2 (1987) 247–250.

    Article  Google Scholar 

  8. T.L. Anderson, H.I. McHenry and M.G. Dawes, ASTM STP 856 (1985) 210–229.

    Google Scholar 

  9. F. Ebrahimi, ASTM STP 945 (1988) 555–580.

    Google Scholar 

  10. W.A. Sorem, R.H. Dodds and S.T. Rolfe “An analytical comparison of short crack and deep crack CTOD fracture specimens of an A36 steel,” to appear in ASTM STP for the 21st national symposium on fracture mechanics.

  11. W.A. Sorem, R.H. Dodds and S.T. Rolfe, “An analytical and experimental comparison of rectangular and square crack tip opening displacement fracture specimens of an A36 steel,” to appear in ASTM STP 995, American Society for Testing and Materials.

  12. A.K. Shoemaker and R.R. Seeley, Journal of Testing and Evaluation 11, No. 4 (1983) 261–272.

    Google Scholar 

  13. R.H. Dodds and L.A. Lopez, International Journal for Advances in Engineering Software 2 No. 4 (1980).

  14. R.H. Dodds and L.A. Lopez, International Journal for Engineering with Computers 13 (1985) 18–26.

    Google Scholar 

  15. M.G. Dawes, ASTM STP 668 (1979) 307–333.

    Google Scholar 

  16. G. Matsoukas, B. Cotterell and Y.W. Mai, International Journal of Fracture 26, No. 2 (1984) R49-R53.

    Google Scholar 

  17. R.H. Dodds, “Plastic rotation factors for shallow crack bend bars,” presented to ASTM Task Group E24.08.02 (Computational Techniques and Procedures), November 8, 1988, Atlanta, GA.

  18. K. Wallin, Engineering Fracture Mechanics 19, No. 6 (1984) 1085–1093.

    Article  Google Scholar 

  19. T.L. Anderson and S. Williams, ASTM STP 905 (1986) 715–740.

    Google Scholar 

  20. A.R. Rosenfield and D.K. Shetty, Engineering Fracture Mechanics 14, No. 4 (1981) 833–842.

    Article  Google Scholar 

  21. J.D. Landes and D.H. Shaffer, ASTM STP 700 (1980) 368–382.

    Google Scholar 

  22. W.A. Logsdon, ASTM STP 590 (1976) 43–60.

    Google Scholar 

  23. W.A. Logsdon and J.A. Begley, ASTM STP 631 (1977) 477–492.

    Google Scholar 

  24. A. Al-Ani and J.W. Hancock, in Proceedings, 7th International Conference for Fracture, March, 1989, Houston, TX.

  25. J.R. Rice and G.F. Rosengren, Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.

    Article  Google Scholar 

  26. J.W. Hutchinson, Journal of the Mechanics and Physics of Solids 16 (1968) 13–31.

    Article  Google Scholar 

  27. I. Milne and G.C. Chell, ASTM STP 668 (1979) 358–377.

    Google Scholar 

  28. H.G. Pisarski, International Journal of Fracture 17 No. 4 (1981) 427–440.

    Google Scholar 

  29. R.O. Ritchie, J.F. Knott and J.R. Rice, Journal of the Mechanics and Physics of Solids 21 (1973) 395–410.

    Article  Google Scholar 

  30. F. Ebrahmi, D.K. Matlock and G. Krauss, Scripta Metallurgica 16, No. 8 (1982) 987–992.

    Article  Google Scholar 

  31. G. Green and J.F. Knott, Journal of Engineering Materials and Technology 98, Series H, No. 1 (1976) 37–46.

    Google Scholar 

  32. W. Weibull, Journal of Applied Mechanics 18 (1951) 293–297.

    Google Scholar 

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Sorem, W.A., Dodds, R.H. & Rolfe, S.T. Effects of crack depth on elastic-plastic fracture toughness. Int J Fract 47, 105–126 (1991). https://doi.org/10.1007/BF00032572

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  • DOI: https://doi.org/10.1007/BF00032572

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