Skip to main content
Log in

A mesomechanical fracture model for an orthotropic material with different tensile and compressive strengths

  • Published:
International Applied Mechanics Aims and scope

The paper addresses a fracture problem for an orthotropic cracked plate made of a material with different tensile and compressive strengths and subjected to biaxial loading. The problem is solved using a micromechanical fracture model proposed earlier by the authors. It is assumed that the fracture of the material in the fracture process zones at the crack front is described by the Gol’denblat–Kopnov failure criterion. Strength curves for an orthotropic cracked plate with different strength and fracture-toughness parameters are plotted

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. I. I. Gol’denblat and V. A. Kopnov, Strength and Plasticity Criteria for Structural Materials [in Russian], Mashinostroenie, Moscow (1968).

    Google Scholar 

  2. A. N. Guz, “On one two-level model in the mesomechanics of compression fracture of cracked composites,“ Int. Appl. Mech., 39, No. 3, 274–285 (2003).

    Article  Google Scholar 

  3. A. N. Guz, M. Sh. Dyshel’, and V. M. Nazarenko, Fracture and Stability of Materials with Cracks, Vol. 2 of the four-volume series Nonclassical Problems of Fracture Mechanics [in Russian], Naukova Dumka, Kyiv (1992).

    Google Scholar 

  4. P. A. Zagubizhenko, “On stresses in anisotropic plate weakened with rectilinear cracks,” Dop. AN URSR, No. 6, 424–430 (1954).

  5. A. A. Kaminsky, “Analyzing the laws of stable subcritical growth of cracks in polymeric materials on the basis of fracture mesomechanics models. Theory and experiment,” Int. Appl. Mech., 40, No. 8, 829–846 (2004).

    Article  Google Scholar 

  6. A. A. Kaminsky and O. S. Bogdanova, “Modelling the failure of orthotropic materials subject to biaxial loading,” Int. Appl. Mech., 32, No. 10, 813–819 (1996).

    Article  Google Scholar 

  7. G. N. Savin, Stress Concentration around Holes, Pergamon Press, Oxford–London–New York–Paris (1961).

    Google Scholar 

  8. O. S. Bogdanova, “Limiting state of an elastoplastic orthotropic plate weakened with a periodic system of collinear cracks,” Int. Appl. Mech., 43, No. 5, 539–546 (2007).

    Article  MathSciNet  Google Scholar 

  9. A. A. Kaminsky, M. V. Dudik, and L. A. Kipnis, “Initial kinking of an interface crack between two elastic media,” Int. Appl. Mech., 43, No. 10, 1090–1099 (2007).

    Article  Google Scholar 

  10. A. A. Kaminsky and G. V. Gavrilov, “Subcritical stable growth of a penny-shaped crack in an aging viscoelastic body with cylindrical anisotropy,” Int. Appl. Mech., 43, No. 1, 68–78 (2007).

    Article  Google Scholar 

  11. A. A. Kaminsky, E. E. Kurchakov, and G. V. Gavrilov, “Formation of a plastic zone in an anisotopic body under loads acting along a crack,” Int. Appl. Mech., 43, No. 5, 475–490 (2007).

    Article  Google Scholar 

  12. G. C. Sih and B. Liu, “Mesofracture mechanics: A necessary link,” Teor. Appl. Fract. Mech., 37, 371–395 (2001).

    Article  Google Scholar 

  13. E. M. Wu, “Strength and fracture of composites,” in: Fracture and Fatigue, Vol. 5 of the series L. J. Broutman (ed.), Composite Materials, Academic Press, New-York (1974), pp. 206–266.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Kaminsky.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 45, No. 3, pp. 82–89, March 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kaminsky, A.A., Bogdanova, O.S. A mesomechanical fracture model for an orthotropic material with different tensile and compressive strengths. Int Appl Mech 45, 290–296 (2009). https://doi.org/10.1007/s10778-009-0183-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-009-0183-x

Keywords

Navigation