Skip to main content
Log in

Limiting Equilibrium of a Plate with Partially Healed Crack

  • Published:
Materials Science Aims and scope

We propose a model of partially healed crack in a solid body. In the region of restoration of the integrity of material, the surface energy is assumed to be different from its value in the intact material. We determine the efficiency of various schemes of healing of the plate weakened by a rectilinear through crack under the mode I and mode II conditions, as well as under the conditions of bending and combined bending with tension. We take into account the effect of crack closure under bending. The problem of interaction of partially healed defects is solved.

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.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. V. Sylovanyuk, V. Marukha, and N. Onyshchak, “Safety margin of damaged elements of durable structures restored by the injection technologies,” in: V. V. Panasyuk (editor), Fracture Mechanics and Strength of Structures [in Ukrainian], Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv (2009), pp. 115–123.

  2. N. Onyshchak, “Estimates of hardening of the body with two cracks healed by the injection technologies,” in: V. V. Panasyuk (editor), Fracture Mechanics and Strength of Structures [in Ukrainian], Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv (2009), pp. 561–564.

  3. V. V. Panasyuk, Fracture Mechanics and Strength of Materials: A Handbook, Vol. 12: V. I. Marukha, V. V. Panasyuk, and V. P. Sylovanyuk, Injection Technologies of Recovery of the Serviceability of Damaged Durable Structures [in Ukrainian], Spolom, Lviv (2009).

  4. A. A. Griffith, “The phenomenon of rupture and flow in solids,” Phil. Trans. Roy. Society. Ser. A, No. 221, 163–198 (1920).

  5. V. V. Panasyuk and B. V. Lozovyi, “Determination of fracture stresses for a plate with two cracks of equal length,” Dop. Akad. Nauk Ukr. RSR, No. 7, 876–880 (1961).

  6. V. V. Panasyuk, Limiting Equilibrium of Brittle Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1968).

  7. V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Stress Distribution near Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976).

  8. H. M. Westergaard, “Bearing pressures and cracks,” J. Appl. Mech., 6, No. 2, 191–198 (1939).

    Google Scholar 

  9. I. P. Shats’kyi, “Bending of a plate weakened by a cut whose faces are in contact,” Dop. Akad. Nauk Ukr. RSR. Ser. A, No. 7, 49–51 (1988).

  10. M. J. Young and C. T. Sun, “Influence of crack closure on the stress intensity factor in bending plates—A classical plate solution,” Int. J. Fract., 55, 81–93 (1992).

    Article  Google Scholar 

  11. I. P. Shatskii, “Interaction of collinear sections with contacting edges in a bent plate,” Fiz.-Khim. Mekh. Mater., 26, No. 3, 70–75 (1990); English translation: Sov. Mater. Sci., 26, No. 3, 311–316 (1990).

  12. I. P. Shatskii, “Contact of the edges of the slit in the plate in combined tension and bending,” Fiz.-Khim. Mekh. Mater., 25, No. 2, 46–50 (1989); English translation: Sov. Mater. Sci., 25, No. 2, 160–165 (1989).

  13. I. P. Shatsky, “A cracks closure in combined tension and bending of plates,” in: M. W. Brown (editor), Fracture from Detects: Proc. of the 12th Biennial Conf. of Fracture ECF 12 (September 14–18, 1998, Sheffield), Vol. 2, EMAS Publishing (1998), pp. 733–738.

  14. I. P. Shats’kyi, “Limiting equilibrium of a plate with collinear cracks in combined tension and bending,” Dop. Nats. Akad. Nauk Ukr., No. 10, 62–64 (1995).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to І. P. Shats’kyi.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 51, No. 3, pp. 25–31, May–June, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shats’kyi, І.P. Limiting Equilibrium of a Plate with Partially Healed Crack. Mater Sci 51, 322–330 (2015). https://doi.org/10.1007/s11003-015-9845-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-015-9845-5

Keywords

Navigation