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Testing of Materials
ArticleName Control and experimental data processing in torsion testing with variable acceleration
DOI 10.17580/cisisr.2018.02.15
ArticleAuthor M. V. Erpalov, D. A. Pavlov

Ural Federal University (Ekaterinburg, Russia):

M. V. Erpalov, Cand. Eng., Assocoate Prof., Chair “Metal Forming”, e-mail:
D. A. Pavlov, Cand. Eng., Associate Prof., Chair “Metal Forming”, e-mail:


The paper is devoted to the new method of torsion testing with variable acceleration, which is conducted in order to determine the shear strain resistance of materials. In order to study the rheological properties of materials, which are sensitive to strain rate, with the use of proposed method, test control and experimental data processing algorithms have been developed. It is shown that two control parameters c and k determine the ranges of the strain and strain rate values in which the rheological properties of materials are studied. They also determine the duration of testing. For the case of testing samples with a cylindrical working part of a solid circular cross section, formulas are given for calculating the values of the sample twist angle at each time point. Changing the twist angle of the sample in accordance with these values provides a reliable determination of the rheological properties of materials, which are sensitive to strain rate. In order to verify the new testing method, mathematical modeling of the torsion test was performed using the Wolfram Mathematica software. The simulation results indicate the consistency of the proposed method for testing materials, which are sensitive to strain rate.

The application for the invention № 2018132149 dated 07.09.2018 was submitted on this method of testing samples.
The investigation was supported by the program 211 of the Government of the Russian Federation (agreement № 02.A03.21.0006).

keywords Hardening curves, strain resistance, torsion test, test control, experimental data processing, mathematical modeling

1. Erpalov M. V., Pavlov D. A. Torsion testing method for cylindrical samples of continuous section. Chernye Metally. 2018. No. 12. pp. 72–76.
2. Polukhin P. I., Gun G. Ya., Galkin A. M. Resistance to plastic deformation of metals and alloys. Moscow: Metallurgiya. 1976. 488 p.
3. Tselikov A. I., Polukhin P. I., Grebenik V. M. et al. Machines and units of metallurgical plants. Vol. 3: Machines and units for production and decoration rolling. Moscow: Metallurgiya. 1988. 432 p.
4. Korolev A. A. Mechanical equipment of rolling and pipe shops. Moscow: Metallurgiya. 1987. 480 p.
5. Zubchenko A. S. Reference-book of steels and alloys. Moscow: Mashinostroenie. 2001. 672 p.
6. Shinkin V. N. Springback coefficient of round steel beam under elastoplastic torsion. CIS Iron and Steel Review. 2018. Vol. 15. pp. 23−27.
7. Shinkin V. N. Springback coefficient of the main pipelines’ steel large-diameter pipes under elastoplastic bending. CIS Iron and Steel Review. 2017. Vol. 14. pp. 28−33.
8. Shinkin V. N. Arithmetical method of calculation of power parameters of 2N-roller straightening machine under flattening of steel sheet. CIS Iron and Steel Review. 2017. Vol. 14. pp. 22–27.
9. Bogatov A. A., Pavlov D. A., Timofeev V. B., Pavlova E. A. Theoretical and experimental study of non-steady-state pipe reduction process using a TESA 20-102 mill. Metallurgist. 2018. Vol. 62, No. 5-6. pp. 559−567.
10. Bogatov A. A., Pavlov D. A. Study of metal strained state during workpiece reduction in a three-roll screw-rolling mill. Metallurgist. 2017. Vol. 61, No. 3-4. pp. 311−317.
11. Bogatov A. A., Erpalov M. V. Causes of formation and ways of elimination of defects on the internal surface of upset tube ends. Metal Science and Heat Treatment. 2016. Vol. 58, No. 1−2. pp. 33−36.
12. Erpalov M. V., Bogatov A. A. Research on metal forming in pipe ends upsetting process. Solid State Phenomena. 2017. Vol. 265. pp. 1076−1080.
13. Loginov Yu. N., Demakov S. L., Illarionov A. G., Popov A. A. Effect of the strain rate on the properties of electrical copper. Russian Metallurgy (Metally). 2011. Vol. 2011. No. 3. pp. 194−201.
14. Konovalov A. V. Constitutive relations for metals under hightemperature plastic strains. Mechanics of Solids. 2009. Vol. 44. No. 1. pp. 98−104.
15. Umanskiy A. A., Kadykov V. N., Golovatenko A. V. Improvement of the rolling schedule for railroad rails in breakdown stands of the universal rolling mill. Chernye Metally. 2016. No. 11. pp. 16−21.
16. Shinkin V. N. Calculation of steel sheet’s curvature for its flattening in the eight-roller straightening machine. Chernye Metally. 2017. No. 2. pp. 46−50.
17. Shinkin V. N. Calculation of bending moments of steel sheet and support reactions under flattening on the eightroller straightening machine. Chernye Metally. 2017. No. 4. pp. 49−53.
18. Nadai A. Theory of flow and fracture of solids. Vol. 2. New York: McGraw-Hill Book Company. 1963. 840 p.
19. Fields D. S., Backofen W. A. Determination of strain-hardening characteristics by torsion testing. ASTM Proceeding. 1957. Vol. 57. pp. 1259−1272.
20. Khoddam S., Hodgson P. D. Post processing of the hot torsion test results using a multi-dimensional modelling approach. Materials and Design. 2010. Vol. 31. No. 5. pp. 2578−2584.

21. Jonas J. J., Montheillet F., Toth L. S., Ghosh C. Effects of varying twist and twist rate sensitivities on the interpretation of torsion testing data. Materials Science and Engineering: A. 2014. Vol. 591. pp. 9−17.
22. Sheppard T., Wright D. S. Determination of flow stress: Part 1. Constitutive equation for aluminum alloys at elevated temperatures. Metals Technology. 1979. Vol. 6. No. 1. pp. 215−223.
23. Laber K., Kawalek A., Sawicki S., Dyja H. et al. Application of torsion test for determination of rheological properties of 5019 aluminium alloy. Key Engineering Materials. 2016. Vol. 682. pp. 356−361.
24. Erpalov M. V., Kungurov E. A. Examination of hardening curves definition methods in torsion test. Materials Physics and Mechanics. 2018. Vol. 38. No. 1. pp. 82−89.
25. Rabotnov Ju. N. Strength of materials. M.: Fizmatgiz. 1962. 456 p.

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