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Solution of the plane problem of elasticity theory in stresses for a truncated wedge

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Literature Cited

  1. 1.

    Yu. A. Borshch, “Mixed problem of plane elasticity theory for a truncated wedge,” Prikl. Mekh.,15, No. 6, 79–84 (1979).

  2. 2.

    I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Nauka, Moscow (1971).

  3. 3.

    V. T. Grinchenko, Equilibrium and Steady Vibrations of Elastic Bodies of Finite Dimensions [in Russian], Naukova Dumka, Kiev (1978).

  4. 4.

    V. T. Grinchenko and A. F. Ulitko, “Thermoelasticity problems for domains bounded by perpendicular boundary surfaces,” in: Thermal Stresses in Structure Elements [in Russian], No. 8, (1969), pp. 110–125.

  5. 5.

    A. I. Kalandiya, Mathematical Methods of Two-Dimensional Elasticity [in Russian], Nauka, Moscow (1973).

  6. 6.

    G. A. Kutateladze, “On a plane problem of elasticity theory,” Tr. Tbil. Mat. Inst.,35, 52–68 (1969).

  7. 7.

    Lin Chin Bin, “On stress concentrations in a semicircular groove,” Trans. ASME, J. Appl. Mech.,34, No. 2, 299–300 (1967).

  8. 8.

    D. Mitchell, “Stress concentration in a semicircular groove,” Trans. ASME, J. Appl. Mech.,32, No. 4, 212–213 (1965).

  9. 9.

    C. J. Tranter, Integral Transforms in Mathematical Physics, Halsted (1972).

  10. 10.

    B. Budiansky and F. Carrier, “The pointless wedge,” J. Appl. Math.,25, No. 3, 378–387 (1973).

  11. 11.

    F. Maunsell, “Stresses in a notched plate under tension,” Phil. Mag., Ser. 7,21, 765–773 (1936).

  12. 12.

    H. Neuber, “Lösung des Carothers-Problem mittels Prinzipien der Kraftübertragung (Keil mit Moment an der Spitze),” Z. Angew. Math. Mech.,43, No. 4/5, 211–218 (1963).

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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 15, No. 11, pp. 88–92, November, 1979.

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Borshch, Y.A. Solution of the plane problem of elasticity theory in stresses for a truncated wedge. Soviet Applied Mechanics 15, 1083–1087 (1979). https://doi.org/10.1007/BF00895035

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Keywords

  • Plane Problem
  • Elasticity Theory