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The stressed state of a transversally isotropic body with inner elliptic crack. A linearly varying pressure on the surface of the crack

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Abstract

An exact solution to the problem of the distribution of stresses in a transversally isotropic elastic body with inner elliptic crack is given. An assumption that the linearly varying pressure acts on the surface of the crack is made. The intensity coefficients of stresses at the vertex of the crack are found. Bibliography: 5 titles.

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References

  1. Yu. N. Podil'chuk, “The stressed state of a transversally isotropic body with inner elliptic crack. Constant loading on the surface of the crack,”Prikl. Mekh.,29, No. 5, 22–32 (1993).

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  2. H. A. Elliot, “Three-dimensional stress distributions in hexagonal aeolotropic crystals,”Proc. Cambridge Philos. Soc.,44 522–533 (1948).

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  4. M. K. Kassir and G. C. Sih,Three-Dimensional Crack Problems, Noordhoff Int. Publ., Gröningen (1975).

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  5. M. P. Savruk,Destruction Mechanics and Strength of Materials: Reference Book. Coefficients of Intensity of Stresses in Bodies with Cracks [in Russian], Vol. 2, Naukova Dumka, Kiev (1988).

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Authors
  1. Yu. M. Podil'chuk
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  2. A. M. Kyrychenko
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Additional information

Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 79, 1995, pp. 117–124. Original

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Podil'chuk, Y.M., Kyrychenko, A.M. The stressed state of a transversally isotropic body with inner elliptic crack. A linearly varying pressure on the surface of the crack. J Math Sci 86, 2522–2526 (1997). https://doi.org/10.1007/BF02355310

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  • DOI: https://doi.org/10.1007/BF02355310

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