Skip to main content
Log in

Analysis of the Stress-Strain State of a Bridgman Specimen in Axial Tension by the Finite-Element Method

  • Published:
Materials Science Aims and scope

We develop a finite-element three-dimensional model of a Bridgman specimen with an aim to investigate its elastoplastic deformation in tension. The distribution of stresses in the cross section of the working part of the specimen for a wide range of loads is determined. It is shown that stresses acting at the center of the specimen in the stage of elastic deformation are lower than the stresses on its surface and, on the contrary, higher than the stresses in the stage of elastoplastic deformation. For a specimen made of 40Kh steel, we find a tensile force for which the normal stresses formed in its cross-section are uniform.

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

Access this article

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

Similar content being viewed by others

References

  1. DSTU ISO 6892-1:2019. Metallic Materials. Tensile Tests. Part 1. Method for Testing at Room Temperature (ISO 6892-1:2016, IDT) [in Ukrainian], Effective since 01.07.2020.

  2. V. I. Zurnadzhy, V. G. Efremenko, K. M. Wu, A. Yu. Azarkhov, Yu. G. Chabak, V. L. Greshta, O. B. Isayev, and M. V. Pomazkov, “Effects of stress relief tempering on microstructure and tensile/impact behavior of quenched and partitioned commercial spring steel,” Mater. Sci. Eng.: A, 745, 307–318 (2019).

  3. S. Mikheevskiy, G. Glinka, and T. Cordes, “Total life approach for fatigue life estimation of welded structures,” Proced. Eng., 101, 177–184 (2015).

    Article  Google Scholar 

  4. R. Jiao, X. He, and Y. Li, “Individual aircraft life monitoring: An engineering approach for fatigue damage evaluation,” Chin. J. Aeronaut., 31, No. 4, 727–739 (2018).

    Article  Google Scholar 

  5. I. Sandu, S. Tabacu, and C. Ducu, “Fatigue analysis of rotating parts. A case study for a belt driven pulley,” IOP Conf. Series: Mater. Sci. Eng., 252, 012029 (2017); https://doi.org/10.1088/1757-899X/252/1/012029.

    Article  Google Scholar 

  6. O. P. Ostash, V. V. Panasyuk, I. M. Andreiko, R. V. Chepil, V. V. Kulyk, and V. V. Vira, “Methods for the construction of the diagrams of fatigue crack-growth rate of materials,” Fiz.-Khim. Mekh. Mater., 43, No. 4, 31–41 (2007); English translation: Mater. Sci., 43, No. 4, 479–491 (2007).

  7. O. HemeV. Mochulskyi, and Ya. Sapuzhak, “Influence of temperature and hydrogen on fatigue fracture of 10Kh15N27T3V2MR steel,” J. Theor. Appl. Mech., 58, No. 1, 3–15 (2020).

  8. O. P. Ostash, V. V. Kulyk, T. M. Lenkovskiy, Z. A. Duriagina, V. V. Vira, and T. L. Tepla, “Relationships between the fatigue crack growth resistance characteristics of a steel and the tread surface damage of railway wheel,” Arch. Mater. Sci. Eng., 90, No. 2, 49–55 (2018).

    Article  Google Scholar 

  9. C. Landron, E. Maire, J. Adrien, and O. Bouaziz, “Damage characterization in dual-phase steels using X-ray tomography,” in: Optical Measurements, Modeling, and Metrology, Conf. Proc. of the Society for Experimental Mechanics Series, Vol. 5, Springer, New York (2011), pp. 11–18.

  10. Yu. Molkov, Ya. Ivanyts’kyi, T. Lenkovs’kyi, A. Trostianchyn, V. Kulyk, and R. Shyshkovskyy, “Experimental determination of critical strain energy density of ductile materials,” Ukr. J. Mech. Eng. Mater. Sci., 5, No. 1, 39–44 (2019).

  11. A. Valiente, “On Bridgman’s stress solution for a tensile neck applied to axisymmetrical blunt notched tension bars,” J. Appl. Mech., 68, No. 3, 412–419 (2001).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Т. М. Lenkovskyi.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 56, No. 5, pp. 132–136, September–October, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lenkovskyi, Т.М., Ivanytskyi, Y.L., Molkov, Y.V. et al. Analysis of the Stress-Strain State of a Bridgman Specimen in Axial Tension by the Finite-Element Method. Mater Sci 56, 722–726 (2021). https://doi.org/10.1007/s11003-021-00488-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-021-00488-4

Keywords

Navigation