Improved core model of indentation and its application to measure diamond hardness
- Authors: Galanov B.A.1, Milman Y.V.1, Ivakhnenko S.A.2, Suprun O.M.2, Chugunova S.I.1, Golubenko A.A.1, Tkach V.N.2, Litvin P.M.3, Voskoboinik I.V.1
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Affiliations:
- Frantsevich Institute for Materials Science Problems
- Bakul Institute for Superhard Materials
- Lashkarev Institute of Physics of Semiconductors
- Issue: Vol 38, No 5 (2016)
- Pages: 289-305
- Section: Production, Structure, Properties
- URL: https://journals.rcsi.science/1063-4576/article/view/185642
- DOI: https://doi.org/10.3103/S1063457616050014
- ID: 185642
Cite item
Abstract
A model of the indentation using conical and pyramidal indenters has been proposed, in which not only a sample but the indenter as well are elastoplastically deformed and their materials obey the Mises yield condition. These conditions are characteristic of the measuring of diamond hardness through a diamond indenter. The model that has been proposed generalizes and refines the known simplified Johnson’s model, which uses an elastically deformed indenter. The proposed model makes it possible to determine approximately the sizes of elastoplastic zones in the indenter and sample, the effective apex angle of the loaded indenter and effective angles of the indenter and imprint after unloading. Based on this model a procedure of the determination of the sample and indenter yield strengths (Ys and Yi, respectively) has been developed, in which the relations that use the experimental values of the effective angle of the sample imprint and measured values of the Meyer hardness, HM (mean contact pressure) are added to theoretical relations of the indentation model. The developed computational procedure was applied in indentation experiments on synthetic diamond at the temperature 900°C (at which diamond exhibits a noticeable plastic properties) using natural diamond pyramidal indenters having different apex angles. According to the proposed model, the stress-strain states of samples and indenters have been investigated and their yield strengths and plasticity characteristics were defined. The stress–strain curve of the diamond in the stress-total strain coordinates has been constructed. The strain hardening of diamond was also studied.
About the authors
B. A. Galanov
Frantsevich Institute for Materials Science Problems
Author for correspondence.
Email: gbaprofil@bk.ru
Ukraine, vul. Krzhizhanovs’kogo 3, Kiev, 03680
Yu. V. Milman
Frantsevich Institute for Materials Science Problems
Email: alona_suprun@mail.ru
Ukraine, vul. Krzhizhanovs’kogo 3, Kiev, 03680
S. A. Ivakhnenko
Bakul Institute for Superhard Materials
Email: alona_suprun@mail.ru
Ukraine, vul. Avtozavods’ka 2, Kiev, 04074
O. M. Suprun
Bakul Institute for Superhard Materials
Author for correspondence.
Email: alona_suprun@mail.ru
Ukraine, vul. Avtozavods’ka 2, Kiev, 04074
S. I. Chugunova
Frantsevich Institute for Materials Science Problems
Email: alona_suprun@mail.ru
Ukraine, vul. Krzhizhanovs’kogo 3, Kiev, 03680
A. A. Golubenko
Frantsevich Institute for Materials Science Problems
Email: alona_suprun@mail.ru
Ukraine, vul. Krzhizhanovs’kogo 3, Kiev, 03680
V. N. Tkach
Bakul Institute for Superhard Materials
Email: alona_suprun@mail.ru
Ukraine, vul. Avtozavods’ka 2, Kiev, 04074
P. M. Litvin
Lashkarev Institute of Physics of Semiconductors
Email: alona_suprun@mail.ru
Ukraine, pr. Nauky 45, Kiev, 03028
I. V. Voskoboinik
Frantsevich Institute for Materials Science Problems
Email: alona_suprun@mail.ru
Ukraine, vul. Krzhizhanovs’kogo 3, Kiev, 03680
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