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Development of Yield Strip Models Using the Surface Integral and Finite Element Hybrid Method

  • Balkrishna S. Annigeri
Conference paper

Summary

The further development of the Surface Integral and Finite Element Hybrid method for modelling yielding of the material at a crack tip is presented in this paper. The crack in an infinite domain is modelled using a dislocation based integral equation formulation. The uncracked finite body is modelled using finite elements and these two models are coupled using linear superposition for solving the problem of a crack in a finite domain. The yield strips are lumped models that can model small-scale plastic yielding and are useful for both plane stress and plane strain situations. Results obtained using the hybrid formulation are in good agreement with those obtained using the classical Dugdale-Barenblatt and Bilby-Cottrell-Swinden models.

Keywords

Linear Elastic Fracture Mechanic Infinite Domain Integral Equation Formulation Finite Element Hybrid Method Yield Strip 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Rolfe, S.T.; Barsom J.M.: Fatigue and Fracture Control of Structures, Prentice Hall, 1977.Google Scholar
  2. 2.
    Kanninen, M.F.; Popelar, C.H.: Advanced Fracture Mechanics, Oxford University Press, 1985.Google Scholar
  3. 3.
    Hult, J.A.H.; McClintock, F.A.: Elastic-plastic stress and strain distributions around sharp notches under repeated shear, Proceedings of the 9th International Congress for Applied Mechanics, Vol.8, University of Brussels, 51-58, 1957.Google Scholar
  4. 4.
    Dugdale, D.S.: Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids, Vol. 8, 100–108, 1960.CrossRefADSGoogle Scholar
  5. 5.
    Barenblatt, G.I.: The mathematical theory of equilibrium of a crack in brittle fracture, Advances in Applied Mechanics, Vol.7, 55–129, 1962.CrossRefMathSciNetGoogle Scholar
  6. 6.
    Bilby, B.A.; Cottrell, A.H.; Swinden, K.H.: The spread of plastic yield from a notch, Proceedings of the Royal Society, Vol. A285, 22–33, 1965.Google Scholar
  7. 7.
    Rice, J.R.: Mathematical Analysis in the Mechanics of Fracture, Chapter 3 of Fracture: An Advanced Treatise, Leibowitz H.(ed.), Vol. 2., 191–311, Academic Press, New York, 1968.Google Scholar
  8. 8.
    Hutchinson, J.W.: Singular behavior at the end of a tensile crack in a hardening material, Journal of the Mechanics and Physics of Solids, Vol. 16, 13–31, 1968.CrossRefMATHADSGoogle Scholar
  9. 9.
    Annigeri, B.S.: Surface Integral Finite Element Hybrid Method For Localized Problems in Continuum Mechanics, Sc.D. Thesis, Department of Mechanical Engineering, M.I.T., 1984.Google Scholar
  10. 10.
    Annigeri, B.S.; Cleary M.P.: Surface integral finite element hybrid (SIFEH) method for fracture mechanics. International Journal for Numerical Methods in Engineering, Vol.20, 869–885, 1984.CrossRefMATHGoogle Scholar
  11. 11.
    Annigeri, B.S.; Cleary M.P.: Quasi-static fracture propagation using the surface integral finite element hybrid method. ASME PVP Vol.85, 1984.Google Scholar
  12. 12.
    Annigeri, B.S.: Effective modelling of stationary and propagating cracks using the surface integral and finite element hybrid method. ASME AMD Vol.72, 1985.Google Scholar
  13. 13.
    Annigeri, B.S.: Thermoelastic fracture analysis using the surface integral and finite element hybrid method. Presented at the ICES-88 Conference, Atlanta, Georgia, 1988.Google Scholar
  14. 14.
    Suresh S.; Ritchie R.O.: Propagation of short fatigue cracks. International Metal Reviews, Vol. 29, No. 6, 445–476, 1983.Google Scholar
  15. 15.
    Carnahan, B.; Luther, H.A.; Wilkes J.O.: Applied Numerical Methods, John Wiley, New York, 1969.MATHGoogle Scholar
  16. 16.
    Keat, W.D.; Annigeri B.S.; Cleary, M.P.: Surface integral and finite element hybrid method for two and three dimensional fracture mechanics analysis. International Journal of Fracture, Vol.36, 35–53, 1988.Google Scholar
  17. 17.
    Budiansky B.; Hutchinson J.W.: Analysis of closure in fatigue crack growth. Journal of Applied Mechanics, Vol.45, 267–276, 1978.CrossRefMATHADSGoogle Scholar
  18. 18.
    Vitek, V.: Yielding on inclined planes at the tip of a crack loaded in uniform tension, Journal of the Mechanics and Physics of Solids, Vol. 24, 263–275, 1976.CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Balkrishna S. Annigeri
    • 1
  1. 1.United Technologies Research CenterEast HartfordUSA

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