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Reduction of the Problem of Interaction of Cracks in a Restrained Half Space to Boundary Integral Equations

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Abstract

We propose an approach of boundary integral equations to the investigation of interaction of plane cracks under static loading in a half space with rigidly restrained surface. By the method of potential, we reduce the problem to the solution of a system of two-dimensional boundary integral equations of Newton-potential type for the unknown functions of displacements of the crack surfaces. For a circular crack perpendicular to the surface of the half space, we obtain the values of the stress intensity factors.

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REFERENCES

  1. H. S. Kit, I. P. Laushnik, and M. V. Khai, “Evaluation of stresses in a half space with arbitrarily located plane cracks,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3, 164–169 (1986).

    Google Scholar 

  2. H. S. Kit and M. V. Khai, Method of Potentials in Three-Dimensional Problems of Thermoelasticity for Cracked Bodies [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  3. K. N. Srivastava and K. Singh, “The effect of penny-shaped crack on the distribution of stress in a semi-infinite solid,” Int. Eng. Sci., 7, No. 5, 469–490 (1969).

    Google Scholar 

  4. V. V. Mikhas'kiv, V. Z. Stankevich, and M. V. Khai, “Boundary integral equations in three-dimensional problems of steady-state oscillations of a half space with plane cracks,” Izv. Ros. Akad. Nauk, Mekh. Tverd. Tela, No. 6, 44–53 (1993).

    Google Scholar 

  5. K. N. Srivastava and K. Singh, “Addendum to the effect of penny-shaped crack on the distribution of stress in a semi-infinite solid,” Int. Eng. Sci., 8, No. 6, 513–514 (1970).

    Google Scholar 

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Hrylyts'kyi, M.D., Laushnyk, I.P. & Stankevych, O.M. Reduction of the Problem of Interaction of Cracks in a Restrained Half Space to Boundary Integral Equations. Materials Science 39, 79–85 (2003). https://doi.org/10.1023/A:1026130613810

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  • DOI: https://doi.org/10.1023/A:1026130613810

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