Skip to main content
SpringerLink
Log in

Concentration of stresses in a thick plate with two circular holes

  • Published:
Soviet applied mechanics Aims and scope

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. I. I. Vorovich and O. S. Malkina, “Asymptotic method for solving the problem of a thick plate in elasticity theory,” in: Proceedings of the Sixth All-Union Conference on the Theory of Plates and Shells, Baku, 1966 [in Russian], Nauka, Moscow(1966).

    Google Scholar 

  2. I. I. Vorovich and O. S. Malkina, “Stressed state of a thick plate,” Prikl. Matem. i Mekhan.,31, No. 2 (1967).

  3. I. I. Vorovich and O. S. Malkina, “On the accuracy of asymptotic expansions of the solution of the thick plate problem of elasticity theory,” Inzh. Zh., Mekhan. Tverd. Tela, No. 5 (1967).

  4. A. N. Guz', “On the solution of problems for a shallow spherical shell in the case of multiply connected domains,” Dokl. Akad. Nauk SSSR,158, No. 6 (1964).

  5. O. M. Guz', “On the application of the theorem for the composition of cylindrical functions in the solution of linear problems of mechanics in the case of finite multiply connected domains,” Dopov. Akad. Nauk URSR, No. 8 (1966).

  6. O. S. Kosmodamians'kii, “On the regularity of infinite systems obtained in determining the stressed state of elastic media with circular holes,” Dopov. Akad. Nauk URSR, No. 9 (1964).

  7. A. S. Kosmodamianskii and Yu. V. Mysovskii, “Stress concentration in a thick plate weakened by a row of curvilinear holes,” Inzh. Zh., Mekhan. Tverd. Tela, No. 3 (1968).

  8. A. S. Kosmodamianskii and Yu. V. Mysovskii “Stressed state of a thick plate with two circular holes,” in: The Mechanics of Solid Bodies [in Russian], No. 1, Naukova Dumka, Kiev (1969).

    Google Scholar 

  9. N. N. Lebedev, Special Functions and their Applications [in Russian], Gostekhteorizdat, Moscow (1955).

    Google Scholar 

  10. A. I. Lur'e, “On the theory of thick plates,” Prikl. Matem.i Mekhan.,6, No. 2-3 (1942).

  11. A. I. Lur'e, Three-Dimensional Problems of the Theory of Elasticity, Interscience, New York (1964).

    MATH  Google Scholar 

  12. N. I. Muskhelishvili, Some Fundamental Problems of the Mathematical Theory of Elasticity, P. G. Noordhoff Ltd., Groningen (1953).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Donetsk Computational Center, Academy of Sciences of the Ukrainian SSR, Donetsk, Ukraine

    A. S. Kosmodamianskii & V. A. Shaldyrvan

Authors
  1. A. S. Kosmodamianskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Shaldyrvan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Prikladnaya Mekhanika, Vol. 6, No. 10, pp. 3–8, October, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kosmodamianskii, A.S., Shaldyrvan, V.A. Concentration of stresses in a thick plate with two circular holes. Soviet Applied Mechanics 6, 1041–1045 (1970). https://doi.org/10.1007/BF00888901

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00888901

Keywords

Search

Navigation