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Technological Measurements
Название Study of the influence of the test load on indentation size effect during measuring the materials hardness by a spherical indenter
Автор A. V. Udalov
Информация об авторе

Vyatka State University (Kirov, Russia):

A. V. Udalov, Cand. Eng., Associate Prof., Dept. for Materials Science and Fundamentals of Design, e-mail: a.v.udalov1960@gmail.com

Реферат

The size effect or “indentation size effect” (ISE), which manifests itself in a change in the readings of the instruments when measuring the hardness of the test material depending on the indentation conditions, greatly complicates the improvement of materials manufacturing technologies. The article provides an overview of the main signs of the manifestation of the ISE and its description models for indenters of various shapes with a constant degree of loading. The aim of the work is to determine the criterion responsible for the manifestation of the ISE when the test load changes during the measurement of hardness by a ball of constant diameter, as well as the optimal indentation conditions, providing real values of the hardness of the material that are closest to the true values. Research Methods. The influence of the test load on the manifestation of the ISE was studied using the example of measuring hardness of an exemplary measure 114НВ of steel 10 with a ball with a diameter of 15.1 mm. The obtained experimental dependence of the indentation depth on the test load was approximated by a power-law function on the basis of which the following main process parameters were determined for various load values: the degree of deformation of the material in the deformation zone; material hardness; the specific work of plastic deformation and the relative change in the resistance to deformation of the material with increasing load. Results and discussions. An analysis of the results showed that the increase in HB hardness with an increase in the test load at a constant ball diameter is due to a corresponding change in the material deformation resistance in the deformation zone under the indenter. Actual hardness values are most consistent with true values if the ratio of the imprint diameter to the ball diameter is 0.375. The developed methodology and the results obtained can be used in the practice of determining the mechanical characteristics of materials by the hardness indentation method.

Ключевые слова Spherical indenter, hardness, indentation size effect, deformation resistance, specific work, deformation resistance, test load
Библиографический список

1. Flossdorf F.-J., Wieland H.-J. Material science and steel testing technologies. Chernye Metally. 2010. No. 5. pp. 57–64.
2. Pharr G. M., Herbert E. G., Gao Y. The indentation size eff ect: a critical examination of experimental observations and mechanistic interpretations. Annual Review of Materials Research. 2010. Vol. 40, Iss. 1. pp. 271–292.
3. Swadener J. G., George E. P., Pharr G. M. The correlation of the indentation size effect measured with indenters of various shapes. Journal of the Mechanics and Physics of Solids. 2002. Vol. 50, Iss. 4. pp. 681–694.
4. Matyunin V. М., Dubov А. А., Marchenkov А. Yu. Scale factor in determining the hardness of metallic materials. Zavodskaya laboratoriya. Diagnostika materialov. 2009. Vol. 75. No. 9. pp. 59–62.
5. Voyiadjis G., Yaghoobi M. Review of Nanoindentation Size Effect: Experiments and Atomistic Simulation. Crystals. 2017. Vol. 7, Iss. 10. pp. 321.
6. Nix W. D., Gao H. Indentation size effects in crystalline materials: a law for strain gradient plasticity. Journal of the Mechanics and Physics of Solids. 1998. Vol. 46, Iss. 3. pp. 411–425.
7. Gerberich W. W., Tymiak N. I., Grunlan J. C., Horstemeyer M. F., Baskes M. I. Interpretations of indentation size effect. Journal of Applied Mechanics. 2002. Vol. 69, Iss. 4. pp. 433–442.
8. Udalov A. A., Parshin S. V., Udalov A. V. Indentation size effect during measuring the hardness of materials by pyramidal indenter. Materials Today: Proceedings. 2019. Vol. 19. pp. 2034–2036.
9. Spary I. J., Bushby A. J., Jennett N. M. On the indentation size effect in spherical indentation. Philosophical Magazine. 2006. Vol. 86, Iss. 33-35. pp. 5581–5593.
10. Udalov A. A., Udalov A. V., Parshin S. V. Indentation Size Effect during Measuring the Hardness of Materials by Spherical Indenter. Solid State Phenomena. 2020. Vol. 299. pp. 1172–1177.
11. Rashid K., Abu Al-Rub, Abu Faruk N. M. Prediction of Micro and Nano Indentation Size Effects from Spherical Indenters. Mechanics of Advanced Materials and Structures. 2012. Vol. 19, Iss. 1-3. pp. 119–128.
12. Bulanov E. А. The relationship between the load and deformation parameters during penetration of a spherical indenter into an elastoplastic medium at full plastic flow. Trenie i smazka v mashinakh i mekhanizmakh. 2013. No. 1. pp. 34–36.
13. Matyunin V. М., Kazantsev А. G., Marchenkov А. Yu. Distribution of stresses and strains in a deformed metal volume upon indentation of a spherical indenter. Zavodskaya laboratoriya. Diagnostika materialov. 2017. Vol. 83. No. 1. pp. 72–77.
14. Gao H., Huang Y., Nix W. D., Hutchinson J. W. Mechanism based strain gradient plasticity — I. Theory. Journal of the Mechanics and Physics of Solids. 1999. Vol. 47, Iss. 6. pp. 1239–1263.
15. Huang Y., Gao H., Nix W. D., Hutchinson J. W. Mechanism-based strain gradient plasticity — II. Analysis. Journal of the Mechanics and Physics of Solids. 2000. Vol. 48, Iss. 1. pp. 99–128.
16. Huang Y., Qu S., Hwang K. C., Li M., Gao H. A conventional theory of mechanism-based strain gradient plasticity. International Journal of Plasticity. 2004. Vol. 20, Iss. 4–5. pp. 753–782.
17. Pugno N. M. A general shape/size-eff ect law for nanoindentation. Acta Materialia. 2007. Vol. 55, Iss. 6. pp. 1947–1953.
18. Feng G., Nix W. D. Indentation size effect in MgO. Scripta Materialia. 2004. Vol. 51, Iss. 6. pp. 599–603.
19. Huang Y., Zhang F., Hwang K. C., Nix W. D., Pharr G. M. et al. A model for size effects in nanoindentation. Journal of the Mechanics and Physics of Solids. 2006. Vol. 54, Iss. 8. pp. 1668–1686.
20. Ruiz-Moreno A., Hähner P. Indentation size effects of ferritic/martensitic steels: a comparative experimental and modelling study. Materials & Design. 2018. Vol. 145. pp. 168–180.
21. Udalov А. V., Parshin S. V., Udalov А. А. Determination of the resistance to metals and alloys deformation by the indenter penetration method. Deformatsiya i razrushenie materialov. 2019. No. 4. pp. 40–44.
22. Udalov A. V., Udalov A. A. Method of determining deformation resistance of metal materials. Patent RF No. 2703808. Applied: 29.10.2018. Published: 22.10.2019. Bulletin No. 30.
23. Zhang P., Li S. X., Zhang Z. F. General relationship between strength and hardness. Materials Science and Engineering: A. 2011. Vol. 529. pp. 62–73.
24. Tiryakioglu M. On the relationship between Vickers hardness and yield stress in Al – Zn – Mg – Cu Alloys. Materials Science and Engineering: A. 2015. Vol. 633. pp. 17–19.
25. Udalov A. V., Udalov A. A. Study of the change in the deformation resistance of low-carbon steel in the process of rotary drawing with wall thinning. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty). 2019. Vol. 21. No. 3. pp. 59–71.
26. Pavlina E. J., Van Tyne C. J. Correlation of Yield Strength and Tensile Strength with Hardness for Steels. Journal of Materials Engineering and Performance. 2008. Vol. 17, Iss. 7. pp. 888–893.
27. Herbert E. G., Oliver W. C., Pharr G. M. On the measurement of yield strength by spherical indentation. Philosophical Magazine. 2006. Vol. 86, Iss. 33-35. pp. 5521–5539.
28. Matyunin V. М., Marchenkov А. Yu., Volkov P. V. Determination of the conditional yield point of the metal on the kinetic diagram of a spherical indenter indentation. Zavodskaya laboratoriya. Diagnostika materialov. 2017. Vol. 83. No. 6. pp. 57–61.
29. Rudnitsky V. A., Kren A. P., Lantsman G. A. Determining Yield Strength of Metals by Microindentation with a Spherical Tip. Russian Journal of Nondestructive Testing. 2019. Vol. 55. pp. 162–168.
30. ISO 6506–1:2014. Metallic mateirals. Brinnell hardness test. Part 1: Test method. Published: 25.09.2014.
31. GOST 23677–79. Hardness testing machines for metals. General technical requirements. Introduced: 01.01.1981.

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