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Elastic Interaction of a Hole with Radial Surface Cracks of Different Length in the Isotropic Plate

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Materials Science Aims and scope

We consider the interaction of four surface cracks and a circular hole located in a thin isotropic plate. To solve this problem, we apply the method of boundary integral equations and the line-spring model. The system of boundary integral equations of this problem is solved numerically by the method of mechanical quadratures. The interaction of defects is revealed in the case of their location at small distances. We also compute the stress intensity factors at the crack tips and the stress concentration factors at the contour of the hole.

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References

  1. P. F. Joseph and F. Erdogan, “Surface crack problems in plates,” Int. J. Fract. Mech., 41, 105–131 (1989).

    Article  Google Scholar 

  2. I. Rainah and M. P. Cartmell, “An analysis of the effects of the orientation angle of a surface crack on the vibration of an isotropic plate,” J. Phys., Conf. Ser., 382, No. 1, 012007 (2012).

    Google Scholar 

  3. J. R. Rice and N. Levy, “The part-through surface crack in an elastic plate,” Trans. ASME, Ser. J. Appl. Mech., 39, 185–194 (1972).

    Article  Google Scholar 

  4. V. P. Shevchenko, E. N. Dovbnya, and V. V Yartemik, “A shell of arbitrary curvature with a system of cracks of different types and geometries,” Prikl. Mekh., 47, No. 4, 89–98 (2011).

    Google Scholar 

  5. V. V. Bozhydarnik and O. V. Maksymovych, “Determination of the stressed state near edge cracks in a plate containing a hole of complex shape,” Fiz.-Khim. Mekh. Mater., 46, No. 1, 19–26 (2010); English translation: Mater. Sci., 46, No. 1, 16–26 (2010).

    Article  Google Scholar 

  6. E. N. Dovbnya, “A system of boundary integral equations for orthotropic shells of zero and negative curvatures weakened by cuts and holes,” in: Visn. Donetsk Univ., Ser. A: Natural Sciences, Issue 2 (1998), pp. 45–52.

  7. E. N. Dovbnya and N. A. Krupko, “Mathematical model of an isotropic plate with circular hole and nonthrough cracks,” Vestn. Khark. Nat. Tekh. Univ., No. 2 (45) (2012), pp. 130–134.

  8. G. N. Savin, Distribution of Stresses Near Holes [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

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Authors and Affiliations

  1. Donetsk National University, Donetsk, Ukraine

    K. M. Dovbnya & N. A. Krupko

Authors
  1. K. M. Dovbnya
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  2. N. A. Krupko
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Correspondence to N. A. Krupko.

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 50, No. 2, pp. 85–90, March–April, 2014.

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Dovbnya, K.M., Krupko, N.A. Elastic Interaction of a Hole with Radial Surface Cracks of Different Length in the Isotropic Plate. Mater Sci 50, 254–260 (2014). https://doi.org/10.1007/s11003-014-9715-6

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  • DOI: https://doi.org/10.1007/s11003-014-9715-6

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