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Proceedings of the National Academy of Sciences of Belarus. Physical-technical series

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Determination of the plasticity of metals by impact indentation of a spherical indenter

https://doi.org/10.29235/1561-8358-2021-66-4-483-495

Abstract

The problems of measuring the plastic characteristics of metals are considered. It is shown that the characteristics of materials used to compare their plasticity are not comparable and depend in the different degrees on the values of strain, strain rate, and modulus of elasticity. At the same time, the value of plasticity is more physically substantiated, which is determined by the ratio of plastic strain to total strain. It is shown that one of the optimal methods for measuring plasticity (plasticity index) is indentation. The possibility of using impact microindentation for this purpose is studied and expressions are proposed that allow calculating the plasticity based on the results of a single indentation of a spherical indenter. The specialties of the calculation of strain for this type of testing are shown. It was found that the values of plasticity obtained from the ratios of the depths of the plastic and elastic penetration of the indenter are equivalent to the values calculated from the energy ratios upon impact. Experimental studies have been carried out on metals with different hardness and type of crystal lattice. For the first time, the effect of strain rate, deformation, and impact energy (initial impact velocity) on the calculated value of plasticity when a sphere is impressed with strain rates of ~ 103 s–1 is shown. It is shown that when the strain corresponding to the onset of full plasticity during indentation is reached, the maximum sensitivity of the measured plasticity parameter for various metals is achieved.

About the Author

A. P. Kren
Institute of Applied Physics of the National Academy of Sciences of Belarus
Belarus

Alexander P. Kren – D. Sc. (Engineering), Head of the Mechanical Testing Laboratory

16, Akademicheskaya Str., 220072, Minsk, Republic of Belarus



References

1. Milman Yu. V., Galanov B. A., Chugunova S. I. Plasticity characteristic obtained through hardness measurement. Acta Metallurgica et Materialia, 1993, vol. 41, no. 9, pp. 2523–2532. https://doi.org/10.1016/0956-7151(93)90122-9

2. Milman Yu. V., Chugunova S. I., Goncharova I. V. Plasticity determined by indentation and theoretical plasticity of materials. Bulletin of the Russian Academy of Sciences: Physics, 2009, no. 73, pp. 1215–1222. https://doi.org/10.3103/S1062873809090093

3. Arunkumar S. A review of indentation theory. Materials Today: Proceedings, 2018, vol. 5, no. 11, part 3, pp. 23664–23673. https://doi.org/10.1016/j.matpr.2018.10.156

4. Fischer-Cripps A. C., Bull S. J., Schwarzer N. Critical review of claims for ultra-hardness in nanocomposite coatings. Philosophical Magazine, 2012, vol. 92, no. 13, pp. 1601–1630. https://doi.org/10.1080/14786435.2011.652688

5. Drozd M. S. Determination of the Mechanical Properties of Metal without Destruction. Moscow, Metallurgiya Publ., 1965. 171 p. (in Russian).

6. Geller A. L. On the possibility of assessing the quality of metallurgical products using hardness numbers. Zavodskaya laboratoriya [Factory Laboratory], 1970, vol. 36, no. 12, pp. 1514–1519 (in Russian).

7. Milman Yu. V., Chugunova S. I., Gonсharova I. V. Plasticity characteristic obtained by indentation technique for crystalline and noncrystalline materials in the wide temperature range. High Temperature Materials and Processes, 2006, vol. 25, no. 1–2, pp. 39–46. https://doi.org/10.1515/HTMP.2006.25.1-2.39

8. Cheng Y. T., Cheng C. M. Scaling, dimensional analysis, and indentation measurements. Materials Science and Engineering: Reports, 2004, vol. 44, no. 4–5, pp. 91–149. https://doi.org/10.1016/j.mser.2004.05.001

9. Milman Yu. V., Chugunova S. I., Goncharova I. V., Golubenko А. А. Plasticity of Materials Determined by the Indentation Method. Progress in Physics of Metals, 2018, vol. 19, no. 3, pp. 271–308. https://doi.org/10.15407/ufm.19.03.271

10. Kren A., Protasenya T. Determination of the physic and mechanical characteristics of isotropic pyrolitic graphite by dynamic indentation method. Russian Journal of Nondestructive Testing, 2014, vol. 50, no. 7, pp. 419–425. https://doi.org/10.1134/S1061830914070079

11. Kren A. Determination of the critical stress intensity factor of glass under conditions of elastic contact by the dynamic indentation method. Strength of Materials, 2009, vol. 41, no. 6, pp. 628–636. https://doi.org/10.1007/s11223-009-9172-x

12. Kren A. Influence of the temperature during control of of the elastic modulus of a road pavement by the local contact straining method. Russian Journal of Nondestructive Testing, 2010, vol. 46, no. 8, pp. 611–617. https://doi.org/10.1134/S1061830910080103

13. Tabor D. The Hardness of Metals. London, Oxford University Press, 1951. 173 p. https://doi.org/10.1299/jsmemag.56.414_592_5

14. Tirupataiah Y., Sundararajan G. A comprehensive analysis of static indentation process. Materials Science and Engineering, 1987, no. 91, pp. 169–180. https://doi.org/10.1016/0025-5416(87)90295-3

15. Johnson K. Contact Mechanics. Cambridge, Cambridge University Press, 1985. 452 p. https://doi.org/10.1017/CBO9781139171731

16. Oliver W., Pharr G. Measurement of hardness and elastic modulus by instrumented indentation: advances in understanding and refinements to methodology. Journal of Materials Research, 2004, vol. 19, no. 1, pp. 3–20. https://doi.org/10.1557/jmr.2004.19.1.3

17. Kren A. P., Rudnitskii V. A., Lantsman G. A., Khudoley A. L. Influence of the Dynamic Indentation Parameters on the Behavior of Metals during the Penetration of an Indenter with a Spherical Tip. Russian Metallurgy, 2021, no. 4, pp. 563–569. https://doi.org/10.1134/S0036029521040170

18. Kren A., Naumov A. Determination of the relaxation function for viscoelastic materials at low velocity impact. International Journal of Impact Engineering, 2010, vol. 37, no. 2, pp. 170–176. https://doi.org/10.1016/j.ijimpeng.2009.08.001

19. Mesarovic S. Dj, Fleck N. Spherical indentation of elastic–plastic solids. Proceedings of the Royal Cociety A: Mathematical, Physical and Engineering Sciences, 1987, vol. 455, pp. 2707–2728. https://doi.org/10.1098/rspa.1999.0423


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ISSN 1561-8358 (Print)
ISSN 2524-244X (Online)