Skip to main content
Log in

Summary

The state of stress and strain is examined for a plate containing a curvilinear crack reinforced by a finite patch. The elastic patch covers the crack completely and is rigidly connected to the infinite plate only along its edge. It is assumed that the plate and patch are in a general state of planar strain. The boundary-value problem is reduced to a system of three singular integral equations, which is solved by mechanical quadrature. Numerical results are given for a plate containing a crack in the form of an arc of a parabola and reinforced with an elliptical patch for various orientations of the tensile forces at infinity. The stress intensity coefficients at the crack vertices have been calculated along with the contact forces at the junction.

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

Literature cited

  1. G. Dowrick, D. G. Cartwright, and D. P. Rooke, “The effects of repair patches on the stress distributions inα cracked sheet,” Numer. Meth. Fract. Mech., Proc. 2nd Int. Conf., Swansea (1980), pp. 763–775.

  2. Rames Chandra and K. Guruprasad, “Numerical estimation of stress intensity factors in patched cracked plates,” Eng. Fract. Mech., 27, No. 5, 559–569 (1987).

    Google Scholar 

  3. K. Arin and R. A. Barnes, “A circular plate attached to another cracked plate through circumferential welding,” Proc. Int. Conf. Fract. Mech. and Technol., Hong Kong (1977), Vol. 2, pp. 1213–1226.

    Google Scholar 

  4. Chen Yi-Heng and H.-G. Hanh, “Interaction of a stiffener with a crack in an anisotropic sheet,” Eng. Fract. Mech.,33, No. 6, 887–895 (1989).

    Google Scholar 

  5. Chen Yi-Heng, “A finite notched plate stiffened by a smaller circular disk,” Int. J. Eng. Sci.,26, No. 2, 127–133 (1988).

    Google Scholar 

  6. M. P. Savruk, Two-Dimensional Elastic Problems for a Body Containing Cracks [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  7. N. I. Muskhelishvili, Some Basic Topics in the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  8. M. P. Savruk, “Stress intensity coefficients in bodies containing cracks,” in: Failure Mechanics and Strength of Materials (Textbook) [in Russian], V. V. Panasyuk (ed.), Vol. 2, Naukova Dumka, Kiev (1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 27, No. 4, pp. 33–40, July–August, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Savruk, M.P., Kravets', V.S. State of stress in a patched plate containing a crack. Mater Sci 27, 360–367 (1992). https://doi.org/10.1007/BF00723225

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00723225

Keywords

Navigation