Skip to main content
SpringerLink
Log in

Assessing the Equivalence of the Complex Stress State of a Structural Material in Simple Extension

  • Published:
Russian Engineering Research Aims and scope

Abstract

With a fixed equivalence criterion, formulas for assessing the possibility that a material in a complex but static stress state will pass to a limiting (critical) state are compared.

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

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

Similar content being viewed by others

REFERENCES

  1. Kozlov, P.N., Equivalent criterion of stress state by simple tensile stress for constructional materials, Vestn. Mashinostr., 2019, no. 6, pp. 41–46.

  2. Troshchenko, V.T., Lebedev, A.A., Strizhalo, V.A., et al., Mekhanicheskoe povedenie materialov pri razlichnykh vidakh nagruzheniya (Mechanical Behavior of Materials at Different Loading), Kyiv: Logos, 2000.

    Google Scholar 

  3. Troshchenko, V.T., Ustalost’ i neuprugost’ metallov (Elasticity an Rigidity of Metals), Kiev: Naukova Dumka, 1971.

  4. Vasin, R.A., Experimental study of plasticity in the theory of elastoplastic processes, in Plastichnost’ i razrushenie tverdykh tel (Plasticity and Fracture of Solids), Gol’dshtein, R.V., Ed., Moscow: Nauka, 1988, pp. 40–57.

  5. Vorontsov, A.L., Theoretical aspects of technological mechanics. 4. The plasticity condition, strengthening, and the stress-strain relationship, Russ. Eng. Res., 2013, vol. 33, no. 7, pp. 400–407.

    Article  Google Scholar 

  6. Belyaev, N.M., Soprotivlenie materialov (Strength of Materials), Moscow: Nauka, 1965.

  7. Lebedev, A.A., Development of the theories of strength in the mechanics of materials, Strength Mater., 2010, vol. 42, no. 5, pp. 578–592.

    Article  Google Scholar 

  8. Koval’chuk, B.I., Criterion for the limiting state of some hull steels under combined strain at room and elevated temperatures, Strength Mater., 1981, vol. 13, no. 5, pp. 548–554.

    Article  Google Scholar 

  9. Serensen, S.V., Problema prochnosti v mashinostroenii. Tom 1. Prochnost’ materialov i elementov konstruktsii pri staticheskom nagruzhenii (Problem of Strength in Machine Engineering, Vol. 1: Strength of Materials and Construction Elements under Static Loading), Kiev: Naukova Dumka, 1985.

  10. Gol’denblat, I.I. and Kopnov, V.A., Kriterii prochnosti i plastichnosti konstruktsionnykh materialov (Criteria of Strength and Plasticity of Construction Materials), Moscow: Mashinostroenie, 1968.

  11. Birger, I.A. and Mavlyutov, R.R., Soprotivlenie materialov (Strength of Materials), Moscow: Nauka, 1986.

  12. Filin, A.P., Prikladnaya mekhanika tverdogo deformiruemogo tela. Tom 1. Soprotivlenie materialov s elementami teorii sploshnykh sred i stroitel’noi mekhaniki (Applied Mechanics of Solid Deformable Body, Vol. 1: Strength of Materials with the Elements of Theory of Solid Media and Building Mechanics), Moscow: Nauka, 1975.

  13. Ponomarev, S.D., Biderman, V.L., Likharev, K.K., et al., Raschety na prochnost’ v Mashinostroenie. Tom 1. Teoreticheskie osnovy i eksperimental’nye metody. Raschety sterzhnevykh elementov konstruktsii pri staticheskoi nagruzke (Calculations for Strength in Machine Engineering, Vol. 1: Theory and Experiments. Calculation of Rod Elements of Constructions under Static Loading), Ponomarev, S.D., Ed., Moscow: Mashgiz, 1956.

  14. Pisarenko, G.S. and Lebedev, A.A., Deformirovanie i prochnost’ materialov pri slozhnom napryazhennom sostoyanii (Deformation and Strength of Materials under Complex Loading), Kiev: Naukova Dumka, 1976.

  15. Malinin, N.N., Plasticity criteria for isotropic body with different resistance to stretch and compression, in Mashinostroenie. Entsiklopediya. Razdel 1. Inzhenernye metody raschetov. Tom 1-3. Kniga 1. Dinamika i prochnost’ mashin. Teoriya mekhanizmov i mashin (Machine Engineering: Encyclopedia, Chapter 1: Engineering Calculations. Vol. 1-3, Book 1: Dynamics and Strength of Machines. Theory of Mechanisms and Machines), Kolesnikov, K.S., Ed., Moscow: Mashinostroenie, 1994, p. 86.

  16. Belov, A.V. and Neumoina, N.G., Use of general Pisarenko–Lebedev strength criterion in calculations of non-isothermal loading, Mezhdunar. Zh. Prikl. Fundam. Issled., 2014, no. 9 (2), pp. 8–10.

  17. Potapova, L.B. and Yartsev, V.P., Mekhanika materialov pri slozhnom napryazhennom sostoyanii (Mechanics of Materials in Complex Stress State), Moscow: Mashinostroenie, 2005.

  18. Lebedev, A.A., Koval’chuk, B.I., Giginyak, F.F., et al., Mekhanicheskie svoistva konstruktsionnykh materialov pri slozhnom napryazhennom sostoyanii: Spravochnik (Mechanical Properties of Constructional Materials in Complex Stress State: Handbook), Kiev: Naukova Dumka, 1983.

  19. Serensen, S.V. and Kramarenko, O.Yu., Constructional strength of globular cast iron, Vestn. Mashinostr., 1959, no. 1, pp. 75–84.

  20. Tsvik, L.B. and Zen’kov, E.V., Strength characteristics of materials of experimental prismatic samples under biaxial tension, Vestn. Mashinostr., 2015, no. 1, pp. 42–46.

  21. Savin, G.N., Raspredelenie napryazhenii okolo otverstii (Distribution of Stresses around Holes), Kiev: Naukova Dumka, 1968.

  22. Paul, B., Macroscopic criteria for plastic flow and brittle fracture, in Fracture: An Advanced Treatise, Vol. 2: Mathematical Fundamentals, Leibowitz, H., Ed., New York: Academic, 1968.

Download references

Author information

Authors and Affiliations

  1. PJSC Novokramatorsky Mashinostroitelny Zavod (NKMZ), 84314, Kramatorsk, Ukraine

    P. N. Kozlov

Authors
  1. P. N. Kozlov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. N. Kozlov.

Additional information

Translated by B. Gilbert

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kozlov, P.N. Assessing the Equivalence of the Complex Stress State of a Structural Material in Simple Extension. Russ. Engin. Res. 40, 372–377 (2020). https://doi.org/10.3103/S1068798X20050123

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068798X20050123

Keywords:

Search

Navigation