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Application of singular integral equations to solution of two-dimensional problems in crack theory

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Soviet materials science : a transl. of Fiziko-khimicheskaya mekhanika materialov / Academy of Sciences of the Ukrainian SSR Aims and scope

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Literature cited

  1. N. I. Muskhelishvili, Basic Problems in the Mathematical Theory of Elasticity [in Russian], Nauka (1966).

  2. G. R. Irwin, “Fracture,” Handbuch der Physik,6, 551–590 (1958).

    Google Scholar 

  3. V. V. Panasyuk, Ultimate Equilibrium in Brittle Bodies with Cracks [in Russian], Naukova Dumka (1968).

  4. P. M. Vitvitskii, V. V. Panasyuk, and S. Ya. Yarema, Probl. Prochn., No. 2 (1973).

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

  6. V. Z. Parton and E. M. Morozov, Mechanics of Elasticoplastic Fracture [in Russian], Nauka (1974).

  7. V. Z. Parton and P. I. Perlin, Integral Equations for Basic Two- and Three-Dimensional Problems of Elastic Equilibrium [in Russian], Izd. VINITI (1975).

  8. M. P. Savruk and A. P. Datsyshin, in: Thermomechanical Methods of Rock Breaking [in Russian], Part 2, Naukova Dumka (1972).

  9. A. P. Datsyshin and M. P. Savruk, Prikl. Mat. Mekh., No. 2 (1973).

  10. A. P. Datsyshin and M. P. Savruk, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 5 (1974).

  11. V. V. Panasyuk, M. P. Savruk, and O. P. Datsishin, Dokl. Akad. Nauk UkrSSR, Ser. A, No. 1 (1974).

  12. A. P. Datsyshin and M. P. Savruk, Prikl. Mat. Mekh., No. 4 (1974).

  13. V. V. Panasyuk, M. P. Savruk, and O. P. Datsishin, Dokl. Akad. Nauk UkrSSR, Ser. A, No. 4 (1976).

  14. M. P. Savruk and A. P. Datsyshin, Prikl. Mekh.,10, No. 7 (1974).

  15. M. P. Savruk, Prikl. Mat. Mekh., No. 6 (1975).

  16. V. V. Panasyuk, M. P. Savruk, and O. P. Datsishin, Dokl. Akad. Nauk UkrSSR, Ser. A, No. 11 (1973).

  17. V. V. Panasyuk, M. P. Savruk, and E. M. Borshchuk, Dokl. Akad. Nauk UkrSSR, Ser. A, No. 5 (1976).

  18. M. P. Savruk, Fiz.-Khim. Mekh. Mater., No. 6 (1971).

  19. M. P. Savruk, Fiz.-Khim. Mekh. Mater., No. 4 (1972).

  20. M. P. Savruk, Prikl. Mekh.,11, No. 5 (1975).

  21. É. I. Grigolyuk and L. A. Fil'shtinskii, Perforated Plates and Shells [in Russian], Nauka (1970).

  22. V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Probl. Prochn., No. 12 (1975).

  23. G. S. Krestin, Fiz.-Khim. Mekh. Mater., No. 4 (1974).

  24. S. Ya. Yarema and G. S. Krestin, Prikl. Mekh.,11, No. 9 (1975).

  25. S. Ya. Yarema, Fiz.-Khim. Mekh. Mater., No. 4 (1973).

  26. A. A. Korneichuk, in: Numerical Methods of Solving Differential and Integral Equations, and Quadrature Formulas [in Russian], Nauka (1964).

  27. F. Erdogan and G. D. Gupta, Quart. Appl. Math.,29, No. 4 (1972).

  28. R. Dmowska and B. V. Kostrov, Arch. Mech. Stos.,25, No. 3 (1973).

  29. M. P. Savruk, Fiz.-Khim. Mekh. Mater., No. 5 (1975).

  30. M. P. Savruk and O. P. Datsishin, Visn. L'vivsk. Politekh. Inst., No. 87 (1974).

  31. M. P. Savruk, A. P. Datsyshin, and I. F. Soltys, Prikl. Mekh.,12, No. 4 (1976).

  32. V. V. Panasyuk, M. P. Savruk, and I. F. Soltys, Probl. Prochn., No. 7 (1976).

  33. V. V. Panasyuk, M. P. Savruk, and I. F. Soltys, Fiz.-Khim. Mekh. Mater., No. 1 (1975).

  34. V. V. Panasyuk, M. P. Savruk, and I. F. Soltys, Fiz.-Khim. Mekh. Mater., No. 4 (1975).

  35. M. P. Savruk, Prikl. Mat. Mekh., No. 4 (1975).

  36. M. P. Savruk, Prikl. Mekh.,11, No. 12 (1975).

  37. M. P. Savruk, Fiz.-Khim. Mekh. Mater., No. 3 (1975).

  38. M. P. Savruk, Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1975).

  39. I. A. Prusov, Some Problems in Thermoelasticity [in Russian], Izd. Beloruss. Univ., Minsk (1972).

    Google Scholar 

  40. G. S. Kit and M. V. Khai, in: Mathematical and Physicomechanical Fields [in Russian], No. 1, Naukova Dumka (1975).

  41. V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Stress Distribution near Cracks in Plates and Shells [in Russian], Naukova Dumka (1976).

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Authors and Affiliations

  1. Physicomechanical Institute, Academy of Sciences of the Ukrainian SSR, L'vov

    V. V. Panasyuk, M. P. Savruk & A. P. Datsyshin

Authors
  1. V. V. Panasyuk
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  2. M. P. Savruk
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  3. A. P. Datsyshin
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Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 12, No. 3, pp. 30–47, May–June, 1976.

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Panasyuk, V.V., Savruk, M.P. & Datsyshin, A.P. Application of singular integral equations to solution of two-dimensional problems in crack theory. Mater Sci 12, 245–259 (1977). https://doi.org/10.1007/BF00722689

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  • DOI: https://doi.org/10.1007/BF00722689

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