Skip to main content

Methodology and Applications of Local Criteria for the Prediction of Ductile Tearing

  • Conference paper
Elastic-Plastic Fracture Mechanics

Abstract

Local criteria consist, within the field of continuum mechanics, in a simulation of the metallurgical damage occurring at a crack tip. The restrictions of more usual approaches such as mode I loading, plane strain state, isothermal situation, moderate yielding etc…, are no longer effective at the expense of non linear finite element calculations. Ductile damage is predicted through a simulation of cavities growth which either influences the constitutive relations or is a criterion for fracture assuming. a critical cavity size. Practically, two parameters, independent on temperature are necessary. They are measured using two different specimen geometries: one with a crack and the other one without. These two parameters allow the prediction of fracture of one mesh element in a finite element program. This procedure is used to predict crack initiation and stable crack growth in different structures.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Orowan, E., ‘Cleavage fracture of metals’, Rep. Prog. Phys., 12, (1948), p. 185

    Article  ADS  Google Scholar 

  2. McClintock, F.A., ‘Plasticity aspects of fracture’, in: Fracture: an advanced treatise, H.A. Liebowitz (ed.), Academic press, 3, (1968), p.48

    Google Scholar 

  3. McMeecking, R.M., Parks, D.M., ‘On criteria for J-dominance of crack tip fields in large scale yielding’, in: Elastic-plastic fracture, ASTM STP 668, J.D. Landes, J.A. Begley, G.A. Clarke (eds.), ASTM, (1979), p. 175 – 194

    Chapter  Google Scholar 

  4. Shih, C.F., German, M.D., ‘Requirements for a one-parameter characterisation of crack tip fields by the HRR singularity’, Int. J. Fract., 17, (1981), p. 27 – 39

    Google Scholar 

  5. Hutchinson, J.W., Paris, P.C., ‘The theory of stability analysis of J-controlled crack-growth’, in: Elastic plastic fracture, ASTM STP 668, J.A. Landes, J.A. Begley, G.A. Clarke (eds), ASTM, (1979), p. 37 – 64

    Chapter  Google Scholar 

  6. Hutchinson, J.W. ‘Plastic stress strain fields at a crack tip’, J. Mech. Phys. Sol., 16, (1968), p. 13

    Article  ADS  MATH  Google Scholar 

  7. Rice, J.R., Rosengren, G.F., ‘Plane strain deformation near a crack tip in power law hardening material’, J. Mech. Phys. Sol., 16, (1968), p. 1

    Article  ADS  MATH  Google Scholar 

  8. Beremin, F.M., ‘Cavity formation from inclusions in ductile fracture of A508 steel’, Metal. Trans., 12A, (1981), p. 723 – 732

    Google Scholar 

  9. Latham, D.J. Cockroft, M.G., ‘Ductility and workability of metals’, J. Inst. Metals, 96, (1968), p. 33

    Google Scholar 

  10. Oyane, M., ‘Criteria of ductile fracture strain’, Bulletin J.S.M.E. n° 90, (1972), p. 1507

    Google Scholar 

  11. McClintock, F.A., ‘Ductile rupture by the growth of holes’, J. Appl. Mech., 35, (1968), p. 36

    Google Scholar 

  12. Norris, D.M. Jr., Reaugh, J.E., Moran, B., Quinones, D.F., ‘A plastic strain, mean stress criterion for ductile fracture’, J. Eng. Mat, and Techn., 100, (1978), p. 279

    Article  Google Scholar 

  13. MacKenzie, A.C., Hancock, J.W., Brown, D.K., ‘On the influence of state of stress on ductile failure initiation in high strength steels’, Eng. Fract. Mech., 9, (1977), p. 167

    Article  Google Scholar 

  14. Roesch, L., Henry, G., Eudier, M., Plateau, J., ‘Etude de l’influence d’inclusions d’alumines sur les proprietes mecaniques d’un fer fritté’, Mém. Scient. Rev. Metall., 63, n° 11, (1966), p. 927

    Google Scholar 

  15. Perra, M., Finnie, I., ‘Void growth and localization of shear in plane strai n tension’, in: ICF4, Waterloo, Fracture 1977, D. Taplin (ed.), University of Waterloo Press, (1977), p. 415

    Google Scholar 

  16. Rice, J.R., Tracey, D.M., ‘On the ductile enlargment of voids in triaxial stress fields’, J. Mech. Phys. Sol., 17, (1969), p. 201

    Article  ADS  Google Scholar 

  17. Beremin, F.M., ‘Study of fracture criteria for ductile rupture of A508 steel’, in: Advances in fracture research (ICF 5), D. Frangois (ed.), Pergamon press, 2, (1981), p.809

    Google Scholar 

  18. Gurson, A.L., ‘Yield criteria and flow rules for porous ductile media’, J. Eng. Mat, and Tech., 99, (1977), p. 2

    Article  Google Scholar 

  19. Tveergaard, V., ‘Influence of voids on shear band instabilities under plane strain conditions’, Technical report, n° 159, june, University of Denmark, (1979)

    Google Scholar 

  20. Rousselier, G., ’Contribution à l‘étude de la rupture des metaux dans le domaine de l’élasto-plasticité’. Thése de Doctorat-d’état, Lab, de mécanique des solides, Ecole Poly- technique, (1979)

    Google Scholar 

  21. Mudry, F., ‘Influence of loading direction on the ductile fracture process in structural steels’, in: Le comportement plastique des solides anisotropes, Collogue internation n°319 du CNRS, J. Boehler (ed.), Villard de Lans, (1981), p. 407

    Google Scholar 

  22. D’Escatha, Y., Devaux, J.C., ‘Numerical study of initiation, stable crack growth and maximum load with a ductile criterion based on the growth of holes’, in: Elastic plastic fracture, ASTM STP 668, J.D. Landes, J.A. Begley, G.A. Clarke (eds.), ASTM, (1979), p. 229

    Chapter  Google Scholar 

  23. Devaux, J.C., Mottet, G., ‘Simulation numerique d’éprouvettes axisymétriques entaillees’, Rapport interne Framatome n° TMC/DC/80.095, (1980)

    Google Scholar 

  24. Mudry, F., ‘Etude de la rupture ductile et de la rupture par clivage d’aciers faiblement allies’, These de Doctorat d’état, Université de Technologie de Compiègne, Ecole des Mines de Paris, (1982)

    Google Scholar 

  25. Devaux, J.C., Mottet, G., ‘Simulation numerique de l’eprouvette axisymetrique fiesurée’, note Interne Framatoms n°TMC/TC/80.191, (1981)

    Google Scholar 

  26. Mottet, G., Devaux, J.C., ‘Déchirure ductile des aciers faiblement alliés: modèles numeriques’ rapport interne Framatome n°TM/C DC/84.052, (1984)

    Google Scholar 

  27. Devaux, J.C., Marini, B., Mudry, F., Pineau, A., ‘Etude de l’amorgage et de la propagation stable des fissures en milieu tridimensionnel en utilisant un critère physique de rupture ductile’, Collogue methode de calcul, DGRST, March 3, 1983, Antibes, France, paper n° 1

    Google Scholar 

  28. Rousselier, G., Devaux, J.C., Mottet, G., ‘Elastic-plastic behaviour law including ductile fracture damage’, 7th International conference on structural mechanics in reactor technology, paper S/l-3, Chicago, (1983)

    Google Scholar 

  29. Bui, H.D., Erlacher, A., ‘Propagation of damage in elastic and plastic solids’ in: Advances in fracture research, (ICF 5), D. Frangois (ed.), Pergamon press, 2 (1981), p.533

    Google Scholar 

  30. Lautridou, J.C., Pineau, A., ‘Crack initiation and stable crack growth resistance in A508 steels in relation to inclusion distribution’, Fract. Mech., 15, (1981), p. 55 – 71

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 ECSC,EEC,EAEC, Brussels and Luxembourg

About this paper

Cite this paper

Mudry, F. (1985). Methodology and Applications of Local Criteria for the Prediction of Ductile Tearing. In: Larsson, L.H. (eds) Elastic-Plastic Fracture Mechanics. Ispra Courses on Materials, Engineering and Mechanical Science. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5380-2_10

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-5380-2_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8874-9

  • Online ISBN: 978-94-009-5380-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics