Fracture Mechanics pp 77-107

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 62)

Determining K and G

Abstract

So far the crack tip stress fields and energy flows for elastic materials have been described and we have shown that near the crack tip the stress, strain and displacement fields are completely determined by {KI,KII,KIII}. Furthermore the use of stress intensity factors and energy release rate as criteria for fracture have been introduced. However for only a small number of cases have solutions for the stress intensity factors been given. Thus in this chapter analytical, look-up, computational and experimental methods for the determination of the stress intensity factors and energy release rate will be described.

References

  1. 1.
    J.R. Rice, in Fracture an Advanced Treatise, vol. 2, ed. by H. Liebowitz (Academic Press, New York, 1968), pp. 191–311, chap. 3 Google Scholar
  2. 2.
    K.B. Broberg, Cracks and Fracture (Academic Press, San Diego, 1999) Google Scholar
  3. 3.
    P.G. Charalambides, J. Lund, A.G. Evans, R.M. McMeeking, J. Appl. Mech. 56, 77 (1988) CrossRefGoogle Scholar
  4. 4.
    H. Tada, P.C. Paris, G.R. Irwin, The Stress Analysis of Cracks Handbook (ASME Press, New York, 2000) CrossRefGoogle Scholar
  5. 5.
    Y. Murakami, S. Aoki, Stress Intensity Factors Handbook (Pergamon, Oxford, 1987) Google Scholar
  6. 6.
  7. 7.
    NASGRO 4.0 User’s Manual (SouthWest Research Institute, http://www.nasgro.swri.org/)
  8. 8.
    ASTM, ASTM E 1820: Standard Test Method for Measurement of Fracture Toughness (ASTM International, 2005) Google Scholar
  9. 9.
    A.R. Ingraffea, P.A. Wawrzynek, in Comprehensive Structural Integrity, vol. 3, ed. by R. de Borst, H. Mang (Elsevier, Oxford, 2003), Chap. 1 Google Scholar
  10. 10.
    A.R. Ingraffea, in Encyclopedia of Computational Mechanics, vol. 2, ed. by E. Stein, R.D. Borst, T.J. Hughes (Wiley, New York, 2004), Chap. 11 Google Scholar
  11. 11.
    S. Chan, I. Tuba, W. Wilson, Eng. Fract. Mech. 2, 1 (1970) CrossRefGoogle Scholar
  12. 12.
    H. Ansell, Bulging of cracked pressurized aircraft structures. Ph.D. thesis, Linköping University, Linköping, Sweden (1988). Linköping University Report No. LIU–TEK–LIC1988:11 Google Scholar
  13. 13.
    H. de Lorenzi, Int. J. Fract. 19, 183 (1982) CrossRefGoogle Scholar
  14. 14.
    E. Rybicki, M. Kanninen, Eng. Fract. Mech. 9, 931 (1977) CrossRefGoogle Scholar
  15. 15.
    R. Sethuraman, S. Maiti, Eng. Fract. Mech. 30, 227 (1988) CrossRefGoogle Scholar
  16. 16.
    I.S. Raju, Eng. Fract. Mech. 28, 251 (1987) CrossRefGoogle Scholar
  17. 17.
    T. Ramamurthy, T. Krishnamurthy, K. Narayana, K. Vijayakumar, B. Dattaguru, Mech. Res. Commun. 13, 179 (1986) CrossRefGoogle Scholar
  18. 18.
    C.F. Shih, B. Moran, T. Nakamura, Int. J. Fract. 30, 79 (1986) Google Scholar
  19. 19.
    F.Z. Li, C.F. Shih, A. Needleman, Eng. Fract. Mech. 21, 405 (1985) CrossRefGoogle Scholar
  20. 20.
    B. Moran, C.F. Shih, Int. J. Fract. 35, 295 (1987) CrossRefGoogle Scholar
  21. 21.
    R.D. Henshell, K.G. Shaw, Int. J. Numer. Methods Eng. 9, 495 (1975) MATHCrossRefGoogle Scholar
  22. 22.
    R.S. Barsoum, Int. J. Numer. Methods Eng. 10, 25 (1976) MATHCrossRefGoogle Scholar
  23. 23.
    C.E. Freese, D.M. Tracey, Int. J. Fract. 12, R767 (1976) Google Scholar
  24. 24.
    L. Banks-Sills, D. Sherman, Int. J. Fract. 32, 127 (1986) CrossRefGoogle Scholar
  25. 25.
    J.S. Epstein (ed.), Experimental Techniques in Fracture (VCH, New York, 1993) Google Scholar
  26. 26.
    J.W. Dally, R.J. Sanford, Exp. Mech. 27, 381 (1988) CrossRefGoogle Scholar
  27. 27.
    A. Kobayashi, Handbook on Experimental Mechanics (Prentice Hall, New York, 1987) Google Scholar
  28. 28.
    R.J. Sanford, Principles of Fracture Mechanics (Prentice Hall, New York, 2003) Google Scholar
  29. 29.
    S.R. McNeil, W.H. Peters, M.A. Sutton, Eng. Fract. Mech. 28, 101 (1987) CrossRefGoogle Scholar
  30. 30.
    M.A. Sutton, S.R. McNeil, J.D. Helm, Y.J. Chao, Photomechanics. Topics in Applied Physics, vol. 77 (Springer, Berlin, 2000), Chap. Advances in Two-Dimensional and Three-Dimensional Computer Vision, pp. 323–372 CrossRefGoogle Scholar
  31. 31.
    Y. Du, F.A. Diaz-Garrido, R.L. Burguete, E.A. Patterson, in Proceedings of the 2009 SEM Annual Conference and Exposition on Experimental and Applied Mechanics (Society for Experimental Mechanics, 2009) Google Scholar
  32. 32.
    R.A. Tomlinson, A.D. Nurse, E.A. Patterson, Fatigue Fract. Eng. Mater. Struct. 20(2), 217 (1997) CrossRefGoogle Scholar
  33. 33.
    R.A. Tomlinson, E.J. Olden, Strain 35(2), 49 (1999) CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Sibley School of Mechanical and Aerospace EngineeringCornell UniversityIthacaUSA

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