Skip to main content
Log in

Development of inhomogeneous fields under postcritical deformation of steel specimens in extension

  • Published:
Mechanics of Solids Aims and scope Submit manuscript

Abstract

The paper deals with experimental studies of inhomogeneous strain fields in the “neck” region in extension of plane and cylindrical specimens at the postcritical stage, which directly precedes the fracture, by using a video system and a digital image correlation method. We consider the problems of interpretation of extension diagrams obtained for specimens of various length with strain inhomogeneity in the working section of the specimen with a “neck.”We obtain experimental data about the distribution of longitudinal, transverse, and shear strain fields and the displacement fields in the region of the plane specimen localization by using the digital image correlation method.

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.

Similar content being viewed by others

References

  1. V. E. Vildeman, Yu. V. Sokolkin, and A. A. Tashkinov, Mechanics of Inelastic Deformation and Fracture of CompositeMaterials (Nauka, Fizmatlit, Moscow, 1997) [in Russian].

    Google Scholar 

  2. Z. P. Bazane and G. Di Luizo, “NonlocalMicroplaneModel with Strain Softening Yield Limits,” Int. J. Solids Struct. 41, 7209–7240 (2004).

    Article  Google Scholar 

  3. V. V. Struzhanov and E. A. Bakhareva, “Mathematical Methods in Theory of Pure Bending of Rectangular Beams Produce of Weakening Material with Symmetric Extension-Compression Diagram,” Vych. Mekh. Sploshn. Sred 5 (2), 158–167 (2012).

    Google Scholar 

  4. V. E.Vildeman and N.G. Chausov, “Conditions of StrainWeakening of a Material in Extension of a Specimen of Special Configuration,” Zavodskaya Laboratoriya. Diagnostika Materialov 73 (10), 55–59 (2007).

    Google Scholar 

  5. V. P. Radchenko, E. V. Nebogina, and M. V. Basov, “Structure Model of Supercritical Elastoplastic Deformation of Materials in Uniaxial Tension,” Vestnik Samarsk. Gos. Tekhn. Univ. Ser. Fiz. Mat. Nauki, No. 9, 55–65 (2000).

    Article  Google Scholar 

  6. V. E. Vildeman and M. P. Tretiyakov, “Tests of Materials with Construction of Complete Deformations Curves,” Probl. Mashinostr. Nadezhn. Mashin, No. 2, 93–98 (2013).

    Google Scholar 

  7. V. E. Wildemann, E. V. Lomakin, and M. P. Tretiyakov, “Postcritical Deformation of Steels in Plane Stress State,” Izv. Akad. Nauk.Mekh. Tverd. Tela, No. 1, 26–36 (2014) [Mech. Solids (Engl. Transl.) 49 (1), 18–26 (2014)].

    Google Scholar 

  8. M. P. Tretiyakov and V. E. Vildeman, “Tests under Tension–TorsionConditions with Descending Sections of Strain Curve Construction,” Fract. Struct. Integrity 24, 96–101 (2013).

    Google Scholar 

  9. V. E. Wildemann, “On the Solutions of Elastic-Plastic Problems with Contact-Type Boundary Conditions for Solids with Loss-of-Strength Zones,” Prikl. Mat. Mekh. 62 (2), 304–312 (1998) [J. Appl. Math. Mech. (Engl. Transl.) 62 (2), 281–288 (1998)].

    MathSciNet  Google Scholar 

  10. Ya. B. Fridman, Mechanical Properties of Materials (Oborongiz, Moscow, 1952) [in Russian].

    Google Scholar 

  11. V. G. Bazhenov, D. V. Zhegalov, and E. V. Pavlenkova, “Numerical and Experimental Study of Elastoplastic Tension-Torsion Processes in Axisymmetric Bodies under Large Deformations,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 57–66 (2011) [Mech. Solids (Engl. Transl.) 46 (2), 204–212 (2011)].

    Google Scholar 

  12. M. Kh. Akhmetzyanov, G. N. Albaut, and V. N. Baryshnikov, “Study of Stress Strain State in the Neck of Plane Metallic Specimens in Extension by the Method of Photo-Elastic Coverings,” Zavodskaya Laboratoriya. Diagnostika Materialov 70 (8), 41–51 (2004).

    Google Scholar 

  13. L. B. Zuev, V. I. Danilov, and S. A. Barannikova, Physics of Plastic Flow Macrolocalization (Nauka, Novosibirsk, 2008) [in Russian].

    Google Scholar 

  14. S. Avril, F. Pierron, M. A. Sutton, and J. Yan, “Identification of Elasto-Visco-Plastic Parameters and Characterization of Lüders Behavior Using Digital Image Correlation and the Virtual FieldsMethod,” Mech. Mater. 40, 729–742 (2008).

    Article  Google Scholar 

  15. M. A. Sutton, J.-J. Orteu, and H. Schreier, Image Correlation for Shape, Motion, and Deformation Measurements (Springer, New York, 2009).

    Google Scholar 

  16. E. V. Lomakin, T. V. Tretyakova, and V. E. Wildemann, “Effect of Quasi-Periodic Homogenization of Plastic Deformations in the Process of Tension of Specimens of an Aluminum-Magnesium Alloy,” Dokl.Ross. Akad. Nauk 461 (2), 168–171 (2015) [Dokl. Phys. (Engl. Transl.) 60 (3), 131–134 (2015)].

    Google Scholar 

  17. V. E. Vildeman, E. V. Lomakin, and T. V. Tretiakova, “Yield Delay and Space-Time Inhomogeneity of Plastic Deformation of Carbon Steel,” Izv. Akad.Nauk.Mekh. Tverd. Tela, No. 4, 56–67 (2015) [Mech. Solids (Engl. Transl.) 50 (4), 412–420 (2015)].

    Google Scholar 

  18. V. E. Vildeman, T. V. Tretiakova, and D. S. Lobanov, “Technique of Experimental Study of Postcritical Deformation on Specimens of Special Complicated Configuration by Using the Digital Image Correlation Method,” Vestnik PGT U. Mekh., No. 4, 15–28 (2011).

    Google Scholar 

  19. T. V. Tretiakova and V. E. Vildeman, “Relay-Race Deformation Mechanism during Uniaxial Tension of Cylindrical Specimens of Carbon Steel:Using Digital Image Correlation Technique,” Fract. Struct. Integrity, No. 24, 1–6 (2013).

    Google Scholar 

  20. T. V. Tretiakova, “SpecificCharacteristics of Application of Software Vic-3D Implementing the Digital Image CorrelationMethod in Studying Inelastic Strain Fields,” Vych. Mekh. Sploshn. Sred 7 (2), 162–171 (2014).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. V. Lomakin.

Additional information

Original Russian Text © V.E. Vildeman, E.V. Lomakin, T.V. Tret’yakova, M.P. Tret’yakov, 2016, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2016, No. 5, pp. 132–139.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vildeman, V.E., Lomakin, E.V., Tret’yakova, T.V. et al. Development of inhomogeneous fields under postcritical deformation of steel specimens in extension. Mech. Solids 51, 612–618 (2016). https://doi.org/10.3103/S0025654416050150

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0025654416050150

Keywords

Navigation