Skip to main content
Log in

Analysis of ductile crack growth by means of a cohesive damage model

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Ductile crack growth is examined by a simplified damage model, where the damage zone is localized in front of the crack tip. The continuum damage model is implemented into a Dugdale-Barenblatt-type cohesive zone model. The elastic-plastic crack growth problem is solved by the Finite Element Method. A good agreement of the numerical results with experimental and numerical data available in literature is obtained. Preventing the occurrence of a process zone with vanishing width, mesh independent results are obtained for stationary cracks as well as for growing cracks.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H.Andersson, Analysis of a Model for Void Growth and Coalescence Ahead of a Moving Crack Tip. Journal of the Mechanics and Physics of Solids 25 (1977) 217–233.

    Google Scholar 

  2. G.I.Barenblatt, The Mathematical Theory of Equilibrium Cracks in Brittle Fracture. Advances in Applied Mechanics 7 (1962) 55–129.

    Google Scholar 

  3. L.F.Coffin, A Study of the Effects of Cyclic Thermal Stresses on a Ductile Metal. Transactions of the ASME 76 (1954) 931–949.

    Google Scholar 

  4. D.S.Dugdale, Yielding of Steel Sheets Containing Slits. Journal of the Mechanics and Physics of Solids 8 (1960) 100–104.

    Google Scholar 

  5. Z.Z.Du and J.W.Hancock, The Effect of Non-Singular Stresses on Crack-Tip Constraint. Journal of the Mechanics and Physics of Solids 39 (1991) 555–567.

    Google Scholar 

  6. X.Q.Feng and S.W.Yu, Analysis of Damage Localization at Crack Tip in a Brittle Damaged Material. Engineering Fracture Mechanics 53 (1966) 169–177.

    Google Scholar 

  7. J.Janson, Dugdale-Crack in a Material with Continuous Damage Formation. Engineering Fracture Mechanics 9 (1977) 891–899.

    Google Scholar 

  8. A.L.Gurson, Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology 99 (1977) 2–15.

    Google Scholar 

  9. St.Heimer, J.Hohe and D.Gross, On Fast Crack Propagation in Viscoplastic Materials. Archives of Mechanics (Archiwum Mechaniki Stosowanej) 47 (1995) 899–914.

    Google Scholar 

  10. L.M.Kachanov, Introduction to Continuum Damage Mechanics. Martinus Nijhoff Publishers, Doordrecht (1986).

    Google Scholar 

  11. D.Klingbeil, G.Künecke and J.Schicker, On the Application of Gurson's Model to Various Fracture Mechanics Specimens. Report BAM-1.31 93/3, Laboratory 1.31, Bundesanstalt für Materialprüfung, Berlin (1993).

    Google Scholar 

  12. J.Lemaitre, Local Approach of Fracture. Engineering Fracture Mechanics 25 (1986) 523–537.

    Google Scholar 

  13. V.C.Li and E.Liang, Fracture Process in Concrete and Fiber Reinforced Cementious Composites. Journal of Engineering Mechanics 112 (1986) 566–586.

    Google Scholar 

  14. Y.Mou and R.P.S.Han, Damage Zones Based on Dugdale Model for Materials. International Journal of Fracture 68 (1994) 245–259.

    Google Scholar 

  15. A.Needleman and V.Tvergaard, Mesh Effects in the Analysis of Dynamic Ductile Crack Growth. Engineering Fracture Mechanics 47 (1994) 75–91.

    Google Scholar 

  16. J.Planas, M.Elices and G.V.Guinea, The Extended Cohesive Crack. In G.Baker and B.L.Karihaloo (eds.), Fracture of Brittle Disordered Materials—Concrete, Rock and Ceramics. E and FN Spon, London (1993) 51–65.

    Google Scholar 

  17. J.R.Rice, A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks. Journal of Applied Mechanics 35 (1968) 379–386.

    Google Scholar 

  18. C.F. Shih, A Framework for Quantifying Crack-Tip Constraint to Surface Flaws. ASTM-Symposium on Constraint Effects in Fracture. Indianapolis (1991).

  19. E.Smith, Recent Research on the Cohesive Zone Description of an Elastic Softening Material. In G.Baker and B.L.Karihaloo (eds.), Fracture of Brittle Disordered Materials — Concrete, Rock and Ceramics. E and FN Spon, London (1993) 450–463.

    Google Scholar 

  20. E.Sommer and P.Aurich, On the Effect of Constraint on Ductile Fracture. In J.G.Blanek and K.H.Schwalbe (eds.), Defect Assessment in Components, Fundamentals and Applications (ESIS/ECF9). Mechanical Engineering Publications, London (1991) 141–174.

    Google Scholar 

  21. V.Tvergaard, Material Failure by Void Growth to Coalescence. Advances in Applied Mechanics 27 (1989) 83–151.

    Google Scholar 

  22. V.Tvergaard and J.W.Hutchinson, The Relation between Crack-Growth Resistance and Fracture Process Parameters in Elastic-Plastic Solids. Journal of Mechanics and Physics of Solids 40 (1992) 1377–1397.

    Google Scholar 

  23. S.X.Wu, Y.W.Mai and B.Cotterell, A Model of Fatigue Crack Growth Based on Dugdale Model and Damage Akkumulation, International Journal of Fracture 57 (1992) 253–267.

    Google Scholar 

  24. L.Xia and C.F.Shih, Ductile Crack Growth — I. A Numerical Study using Computational Cells with Microstructurally-Based Length Scales. Journal of the Mechanics and Physics of Solids 43 (1995) 233–259.

    Google Scholar 

  25. L.Xia, C.F.Shih and J.W.Hutchinson, A Computational Approach to Ductile Crack Growth under Large Scale Yielding Conditions. Journal of the Mechanics and Physics of Solids 43 (1955) 389–413.

    Google Scholar 

  26. Ch.Zhang and D.Gross, Analysis of Ductile Crack Growth by a Simple Damage Model. In K.Kussmaul (ed.), Transactions of the 12th International Conference on Structural Mechanics in Reactor Technology (Stuttgart, Germany, 15.8–20.8.93). Elsevier Science Publishers, Amsterdam (1993) Vol. B, 363–368.

    Google Scholar 

  27. Ch.Zhang and D.Gross, Ductile Crack Analysis by a Cohesive Damage Zone Model. Engineering Fracture Mechanics 47 (1994) 237–248.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hohe, J., Baaser, H. & Gross, D. Analysis of ductile crack growth by means of a cohesive damage model. Int J Fract 81, 99–112 (1996). https://doi.org/10.1007/BF00033176

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00033176

Keywords

Navigation