Skip to main content
SpringerLink
Log in

Shape of the limiting surface of a mechanical strength criterion

  • Published:
Soviet Applied Mechanics Aims and scope

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

References

  1. P. P. Balandin, “Concerning strength hypotheses,” Vestnik inzhenerov i tekhnikov, no. 1, 1937.

  2. A. I. Botkin, “The strength of friable and brittle materials,” Izv. VNIIGidrotekhniki, vol. 26, 1940.

  3. D. Drucker, “The uniqueness of solutions in the theory of plasticity,” collection: Mekhanika [Russian translation], no. 4, 44, 1957.

    Google Scholar 

  4. A. A. Lebedev and G. S. Pisarenko, “A study of the strength of ICr18Ni9Ti steel in complex stress states at temperatures up to 820° C,” collection: High-Temperature Strength Problems in Machine Building [in Russian], Izd-vo AN UkrSSR, Kiev, 1963.

    Google Scholar 

  5. I. N. Mirolyubov, “Concerning the extension of the theory of shearing stresses to brittle materials,” Trudy Leningr. tekhnolog. in-ta, no. 25, 1953.

  6. N. M. Mitrokhin and Yu. D. Yagn, “The systematic character of deviations from plasticity laws,” DAN SSSR, vol. 135, no. 4, 1960.

  7. A. Nadai, Theory of Flow and Fracture of Solids [Russian translation], IL, Moscow, 1954.

    Google Scholar 

  8. V. V. Novozhilov, “The physical meaning of stress invariants used in the theory of plasticity,” Prikl. matem. i mekh., vol. 17, no. 5, 1952.

  9. S. D. Pnomarev, “Concerning the interpretation of the so-called ‘strength theory’ of the strain energy of distortion,” Vestnik inzhenerov i tekhnikov, no. 1, 1953.

  10. M. Reiner, Deformation, Strain and Flow, an Elementary Introduction to Rheology [Russian translation], Gostoptekhizdat, Moscow, 1963.

    Google Scholar 

  11. K. V. Ruppeneit, The Mechanical Properties of Rocks [in Russian], Ugletekhizdat, Moscow, 1956.

    Google Scholar 

  12. S. V. Serensen, “Strength conditions under variable loads for two- and three-dimensional stress states,” Inzhenernyi sbornik, vol. 1, no. 1, 1941.

  13. I. I. Tarasenko, “The criteria of brittle strength of materials,” collection: Structural Mechanics and Building Structures [in Russian], Izd. Leningr. inzh.-stroit. in-ta, No. 26, 1957.

  14. Yu. N. Rabotnov, ed., Theory of Plasticity [Russian translations], IL, Moscow, 1948.

    Google Scholar 

  15. M. M. Filonenko-Borodich, “The strength condition for materials with differing tensile and compressive strengths,” Inzhenernyi sbornik, vol. 19, 1954.

  16. M. M. Filonenko-Borodich, Mechanical Theories of Strength [in Russian], Izd-vo Mosk. un-ta, 1961.

  17. R. Hill, The Mathematical Theory of Plasticity [Russian translation], IL, Moscow, 1956.

    Google Scholar 

  18. I. A. Chaplinskii, The Resistance of Materials to Plastic Deformation [in Russian], Izd. Sibirsk. otd. AN SSSR, Novosibirsk, 1962.

    Google Scholar 

  19. Yu. I. Yagn, “New methods for calculating strength,” Vestnik inzhenerov i tekhnikov, no. 6, 1931.

  20. Yu. I. Yagn and I. N. Vinogradov, “The effect of the form of the strength deviator on resistance to plastic deformation,” DAN SSSR, vol. 96, no. 3 1954.

  21. F. Blakey and F. Beresford, “Strain distribution in concrete beams,” Civil Engineering, vol. 50, no. 586, 1955.

  22. B. Bresler and K. Pister, “Failure of plain concrete under combined stresses,” Proceedings of ASCE, vol. 81, no. 674, 1955.

  23. A. Freudenthal, “The inelastic behavior and failure of concrete,” Proc. First USA Nat. Congr. of Appl. Mech., Chicago, 1951.

Download references

Author information

Authors and Affiliations

  1. Institute for Problems of Strength, AS UkrSSR, Kiev

    G. S. Pisarenko & A. A. Lebedev

Authors
  1. G. S. Pisarenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Lebedev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Prikladnaya Mekhanika, Vol. 4, No. 3, pp. 45–50, 1968

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pisarenko, G.S., Lebedev, A.A. Shape of the limiting surface of a mechanical strength criterion. Soviet Applied Mechanics 4, 27–30 (1968). https://doi.org/10.1007/BF00889190

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00889190

Keywords

Search

Navigation