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Distribution of Stresses and Strains in a Deformed Volume of Metal upon Indentation of a Spherical Indenter

Abstract

Hardness method and method of finite elements are used to study distribution of stresses and strains in the deformed metal under the impression produced by indentation of a spherical indenter with different degree of loading. It is shown that those methods complement each other and their combined use provides more information about the values of stress and strain in different zones of the deformed volume of the metal.

About the Authors

V. M. Matyunin
Национальный исследовательский университет «МЭИ»
Russian Federation


A. G. Kazantsev
ОАО «НПО «ЦНИИТМАШ»
Russian Federation


A. Yu. Marchenkov
Национальный исследовательский университет «МЭИ»
Russian Federation


References

1. Johnson K. L. Contact mechanics. - Cambridge: Cambridge University Press, 1985. - 452 p.

2. Giannakopoulos A. E., Suresh S. Determination of elastoplastic properties by instrumented sharp indentation / Scripta Mater. 1999. Vol. 40. Issue 10. P. 1191-1198.

3. Савицкий Ф. С., Вандышев Б. А., Якутович М. В. Распределение наклепа вокруг конического отпечатка / Заводская лаборатория. 1948. Т. 14. № 12. С. 1476 - 1479.

4. Марковец М. П. Построение диаграмм истинных напряжений по твердости и технологической пробе / Журнал технической физики. 1949. Т. 19. Вып. 3. С. 371 - 382.

5. Oka Y. I., Matsumura M., Funaki H. Measurements of plastic strain below an indentation and piling-up between two adjacent / Wear. 1995. Vol. 186 - 187. Part 1. P. 50 - 55.

6. Дель Г. Д. Определение напряжений в пластической области по распределению твердости. - М.: Машиностроение, 1971. - 200 с.

7. Chaudhri M. M. Subsurface plastic strain distribution around spherical indentations in metals / Philos. Mag. A. Phys. Cond. Matter Struct. Defects Mech. Properties. 1996. Vol. 74. Issue 5. P. 1213 - 1224.

8. Матюнин В. М. Индентирование в диагностике механических свойств материалов. - М.: Издательский дом МЭИ, 2015. - 288 с.

9. Chaudhri M. M. Subsurface strain distribution around Vickers hardness indentations in annealed polycrystalline copper / Scripta Mater. 1998. Vol. 46. Issue 9. P. 3047 - 3056.

10. Chaudhri M. M. Subsurface deformation patterns around indentations in work-hardened mild-steel / Philosophical magazine letters. 1993. Vol. 67. P. 107-115.

11. Ludwig P., Scheu R. Vergleichende Zug-, Druck- und Walzversuche / Stahl und Eisen. 1925. Vol. 45. P. 373 - 381.

12. Бакиров М. Б., Зайцев М. А., Фролов И. В. Математическое моделирование процесса вдавливания сферы в упругопластическое полупространство / Заводская лаборатория. Диагностика материалов. 2001. Т. 67. №1.С. 37-47.

13. Cheng Y., Li Z. Hardness obtained from conical indentations with various cone angles / J. Mater. Res. 2000. Vol. 15. Issue 12. P. 28302835.

14. Nolan G. Scale effects in microindentation of ductile crystals. Thesis for the degree of Master of Science in mechanical engineering. - Boston: Massachusetts Institute of technology, 2000. - 94 p.

15. Koeppel B. J., Subhash G. Characteristics of residual plastic zone under static and dynamic Vickers indentations / Wear. 1999. Vol. 224. Issue 1. P. 56 - 67.

16. Mesarovic S. J., Fleck N. A. Spherical indentation of elastic-plastic solids / Proc. Royal Soc. A. Math. Phys. Engin. Sci. 1999. Vol. 455. Issue 1987. P. 2707-2728.

17. Biwa S., Storakers B. An analysis of fully plastic Brinell / J. Mech. Phys. Solids. 1995. Vol. 43. Issue 8. P. 1303 - 1333.

18. Demiral M., Roy A., El Sayed T., Silberschmidt V. V. Influence of strain gradients on lattice rotation in nano-indentation experiments: A numerical study / Mater. Sci. Engin. A. 2014. Vol. 608. P. 73 - 81.

19. Kramer D., Huang H., Kriese M., Robach J., Nelson A., Wright A., Bahr D., Gerberich W. Yield strength predictions from the plastic zone around nanocontacts / Acta Mater. 1998. Vol. 47. Issue 1. P. 333 - 343.

20. Matyunin V. M., Dubov A. A., Marchenkov A. Yu. Scale factor in determining the hardness of metal materials / Inorg. Mater. 2010. Vol. 46. N15. P. 1692- 1695.


Review

For citations:


Matyunin V.M., Kazantsev A.G., Marchenkov A.Yu. Distribution of Stresses and Strains in a Deformed Volume of Metal upon Indentation of a Spherical Indenter. Industrial laboratory. Diagnostics of materials. 2017;83(1 ч.I):72-77. (In Russ.)

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