Skip to main content
SpringerLink
Log in

Incubation time fracture criterion for FEM simulations

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

The paper is discussing problems connected with embedment of the incubation time criterion for brittle fracture into finite element computational schemes. Incubation time fracture criterion is reviewed; practical questions of its numerical implementation are extensively discussed. Several examples of how the incubation time fracture criterion can be used as fracture condition in finite element computations are given. The examples include simulations of dynamic crack propagation and arrest, impact crater formation (i.e. fracture in initially intact media), spall fracture in plates, propagation of cracks in pipelines. Applicability of the approach to model initiation, development and arrest of dynamic fracture is claimed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

references

  1. Freund, L.B.: Dynamic Fracture Mechanics. Cambridge University Press, Cambridge (1990)

    Book  MATH  Google Scholar 

  2. Petrov, Y.V., Morozov, N.F.: On the modeling of fracture of brittle solids. J. Appl. Mech. 61, 710–712 (1994)

    Article  Google Scholar 

  3. Morozov, N., Petrov, Y.: Dynamics of Fracture, Springer-Verlag, Berlin (2000)

    MATH  Google Scholar 

  4. Petrov, Y.V.: On “quantum” nature of dynamic fracture of brittle solids. Dokl Akad Nauk USSR, 321, 66–68 (1991)

    Google Scholar 

  5. Petrov, Y.V., Morozov, N.F., Smirnov, V.I.: Structural micromechanics approach in dynamics of fracture. Fatig. Fract. Eng. Mater. Struct. 26, 363–372 (2003)

    Article  Google Scholar 

  6. Bratov, V.: Energy behavior in dynamic fracture of materials. Dissertation, St. Petersburg State University (2004)

  7. Neuber, H.: Kerbspannunglehre: Grundlagen fur Genaue Spannungsrechnung, Springer-Verlag, Berlin (1937)

    Google Scholar 

  8. Novozhilov, V.V.: About the necessary and sufficient brittle strength criterion. Prikl. Mat. Mekh. 33(2), 212–222 (1969)

    Google Scholar 

  9. Kornev, V.M., Kurguzov, V.D.: Interrelation between toughness and both strength and structural parameters of material. Int. J. Fract. 128, 195–203 (2004)

    Article  MATH  Google Scholar 

  10. Petrov, Y.V., Sitnikova, E.V.: Dynamic cracking resistance of structural materials predicted from impact fracture of an aircraft alloy. Tech. Phys. 49(1), 57–60 (2007)

    Article  Google Scholar 

  11. Ravi-Chandar, K., Knauss, W.G.: An experimental investigation into dynamic fracture: I. Crack initiation and arrest. Int. J. Fract. 25, 247–262 (1984)

    Article  Google Scholar 

  12. Bratov, V., Petrov, Y.: Application of incubation time approach to simulate dynamic crack propagation. Int. J. Fract. 146, 53–60 (2007)

    Article  Google Scholar 

  13. Bratov, V., Petrov, Y.: Optimizing energy input for fracture by analysis of the energy required to initiate dynamic mode I crack growth. Int. J. Solid Struct. 44, 2371–2380 (2007)

    Article  MATH  Google Scholar 

  14. Bratov, V., Morozov, N., Petrov, Y.: Dynamic Strength of Continuum. St. Petersburg University Press, St. Petersburg (2009)

    Google Scholar 

  15. Bratov, V.A., Morozov, N.F., Petrov, Y.V.: Simulation of smart1 satellite impacting the moon surface. Dokl. Phys. 419(1), 54–58 (2008)

    Google Scholar 

  16. Freund, L.B.: Crack propagation in an elastic solid subjected to general loading. I: Constant rate of extension. J. Mech. Phys. Solid 20, 129–140 (1972)

    Article  MathSciNet  Google Scholar 

  17. Freund, L.B.: Crack propagation in an elastic solid subjected to general loading. II: Nonuniform rate of extension. J. Mech. Phys. Solid 20, 141–152 (1972)

    Article  Google Scholar 

  18. Freund, L.B.: Energy flux into the tip of an extending crack in an elastic solid. J. Elast. 2, 341–349 (1972)

    Article  Google Scholar 

  19. Kashtanov, A., Petrov, Y.: Fractal models in fracture mechanics. Int. J. Fract. 128, 271–276 (2004)

    Article  MATH  Google Scholar 

  20. ABAQUS: ABAQUS/Standard User’s Manual, HKS Inc., USA (2002)

  21. ANSYS: User’s Guide, Release 11.0. ANSYS Inc., Pennsylvania, USA (2006)

  22. ESA: Impact landing ends SMART-1 mission to the Moon. Available online. http://www.esa.int/esaCP/SEM7A76LARE index 0.html Accessed 20 May 2011 (2006)

  23. ESA, 2006b. Intense final hours for SMART-1, Available online. http://www.esa.int/esaCP/SEMV386LARE index 0.html Accessed 20 May 2011 (2006)

Download references

Author information

Authors and Affiliations

  1. Institute for Problem in Mechanical Engineering of the Russian Academy of Sciences, Bolshoj pr. V.O. 61, 199178, St.-Petersburg, Russia

    Vladimir Bratov

Authors
  1. Vladimir Bratov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vladimir Bratov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bratov, V. Incubation time fracture criterion for FEM simulations. Acta Mech Sin 27, 541–549 (2011). https://doi.org/10.1007/s10409-011-0484-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-011-0484-2

Keywords

Search

Navigation