Aerotecnica Missili & Spazio

, Volume 93, Issue 3–4, pp 93–100 | Cite as

Numerical Validation of a New Energetic Fracture Criterion in Elastic - Plastic Fracture Mechanics for Aluminum Alloys

  • V. Binante
  • A. Frediani
  • L. Lavorini


The paper deals with numerical studies of two - dimensional quasi static crack growth problems, for elastic - plastic materials with isotropic hardening behaviour. In particular, the FEM analyses regard centre - cracked panel, CCP, specimens, made up of Al2024-T3 alloy, subjected to monotonic increasing load histories, without any constraint about the intensity of the deformation. The main result of these studies is a new fracture criterion, based on the fracture property of the energy momentum tensor; during a quasi static crack propagation, the trace of the energy momentum tensor, evaluated at the current crack tip, attains a value which is independent of the crack length. Based on this property, the proposed fracture criterion is able to describe the crack growth resistance curve of aluminum alloys, in a good agreement with experimental tests.


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  1. 1.
    J. Rice, “An examination of the fracture mechanics energy balance from the point of view of continuum mechanics”, Proceedings of the First International Conference on Fracture, Sendai, Japan, 1965.Google Scholar
  2. 2.
    J. D. G. Sumpter, “The energy dissipation rate approach to tearing instability” Eng Fract Mech, Vol. 71, pp. 17–37, 2004.CrossRefGoogle Scholar
  3. 3.
    J. D. G. Sumpter, “Energy dissipation rate analysis of a low upper shelf data set” Eng Fract Mech, Vol. 71, pp. 39–56, 2004.CrossRefGoogle Scholar
  4. 4.
    J. D. G. Sumpter, “Energy rates and crack stability in small scale yielding”, Int J Fracture, Vol. 130, pp. 667–681, 2004.CrossRefGoogle Scholar
  5. 5.
    V. Binante, “A new energetic failure criterion and constitutive models of porous materials into the fracture process zone, in the framework of elastic — plastic fracture mechanics”, PhD Thesis in Aerospace Engineering, Edizioni Ets, Pisa, 2010.Google Scholar
  6. 6.
    V. Binante, A. Frediani, “A criterion for ductile crack growth based on the energy momentum tensor”, Variational Analysis and Aerospace Engineering: Mathematical challenges for aerospace design, Springer, Berlin, Vol. 66, pp. 67–92, 2012.Google Scholar
  7. 7.
    L. Lavorini, “Numerical validation of a new criterion of fracture for elastic-plastic materials with subcritical crack growth” Master degree Thesis in Aerospace Engineering, Pisa, 2012.Google Scholar
  8. 8.
    A. Frediani, “An evaluation of the reliability of fracture mechanics methods”, Eng Fract Mech, Vol. 14, pp. 289–322, 1981.CrossRefGoogle Scholar
  9. 9.
    Simulia, Providence, RI, USA, “Abaqus version 6.7-1 users’s manual”, 2007.Google Scholar
  10. 10.
    C. Sun, C. Wang, “A new look at energy release rate in fracture mechanics”, Int J Fracture, Vol. 113, pp. 295–307, 2002.CrossRefGoogle Scholar
  11. 11.
    J. D. Eshelby, “Energy relations and the energy — momentum tensor in continuum mechanics”, Inelastic behaviour of solids, McGraw-Hill, New York, Vol. 43, pp. 77–115, 1970.Google Scholar
  12. 12.
    J. Rice, “A path independent integral and the approximate analysis of strain concentration by notches and cracks”, J Appl Mech, Vol. 35, pp. 379–386, 1968.CrossRefGoogle Scholar
  13. 13.
    G.R. Irwin, “Plastic zone near a crack and fracture toughness”, Proceedings of Seventh Sagamore Ordnance Materials Research Conference, Vol. 4, Syracuse University, Syracuse, NY, pp. 63–78, 1961.Google Scholar

Copyright information

© AIDAA Associazione Italiana di Aeronautica e Astronautica 2014

Authors and Affiliations

  • V. Binante
    • 1
  • A. Frediani
    • 2
  • L. Lavorini
  1. 1.Mechanics of Materials and Structures Laboratory via G. MoruzziISTI-CNRPisaItaly
  2. 2.Dipartimento di Ingegneria Aerospaziale “L. Lazzerino” via G. CarusoUniversitá di PisaPisaItaly

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