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Disk-shaped normal-rupture crack near the surface of a semiinfinite body with initial stresses

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Literature Cited

  1. A. N. Guz' and Yu. V. Klyuchnikov, “Three-dimensional statistical problem for an elliptical crack in an elastic body with initial stresses,” Prikl. Mekh.,20, No. 10, 22–31 (1984).

    Google Scholar 

  2. A. N. Guz', Mechanics of Brittle Fracture of Metals with Initial Stresses [in Russian], Naukova Dumka, Kiev (1983).

    Google Scholar 

  3. A. N. Guz' and V. M. Nazarenko, “Axisymmetric problem on the fracture of a half-space with a disk-shaped surface crack,” Dokl. Akad. Nauk SSSR,274, No. 1, 38–41 (1984).

    Google Scholar 

  4. A. N. Guz', “Order of a singularity at the tip of a crack in problems of the mechanics of brittle fracture of materials with initial stresses,” Fiz.-Khim. Mekh. Mater.,22, No. 1, 24–29 (1986).

    Google Scholar 

  5. Yu. V. Klyuchnikov, “Three-dimensional static problem for an external disk-shaped crack in an elastic body with initial stresses,” Prikl. Mekh.,20, No. 2, 8–15 (1984).

    Google Scholar 

  6. Yu. N. Kuz'min and Ya. S. Uflyand, “Axisymmetric problem of the theory of elasticity for a half-space weakened by a plane circular slit,” Prikl. Mat. Mekh.,29, No. 6, 1132–1137 (1965).

    Google Scholar 

  7. V. M. Nazarenko, “Mutual effect of a circular surface crack and a free boundary in an axisymmetric problem on the fracture of an incompressible half-space in compression along the plane of the crack,” Prikl. Mekh.,21, No. 2, 30–35 (1985).

    Google Scholar 

  8. Ya. S. Uflyand, Integral Transforms in Problems of the Theory of Elasticity [in Russian], Izd. Akad. Nauk SSSR, Moscow-Leningrad (1963).

    Google Scholar 

  9. G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  10. M. K. Kassir and G. C. Sih, Mechanics of Fracture. Vol. 2. Three-Dimensional Crack Problems. Noordhoff Int. Publ., Leyden (1975).

    Google Scholar 

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

    Google Scholar 

  12. L. R. G. Treloar, “Large elastic deformations in rubberlike materials”, IUTAM Colloquiium, Madrid (1955), pp. 208–217.

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Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Branch of New Physical Problems, Institute of Materials Science, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 7, pp. 18–25, July, 1991.

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Babich, V.M., Guz', A.N. & Nazarenko, V.M. Disk-shaped normal-rupture crack near the surface of a semiinfinite body with initial stresses. Soviet Applied Mechanics 27, 637–644 (1991). https://doi.org/10.1007/BF00896765

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