Abstract
The relationship between hardness and cone angle of conical indenters was studied using finite element analysis for elastic–plastic solids with work-hardening. Comparisons were made between the present simulation results, slip line theory, and experimental results. Tabor's concept of representative strain based on indentation experiments in metals (The Hardness of Metals, Oxford, 1951) was shown to be applicable to a wide range of materials. The relative size of plastic zone with respect to the contact radius was found to influence the variation of hardness with indenter cone angle. The method proposed by Atkins and Tabor [J. Mech. Phys. Solids, 13, 149 (1965)] for constructing stress-strain curves using representative strains was also examined, and the conditions under which the method is valid were obtained.
References
19
Referenced
45
10.1016/0022-5096(65)90018-9
{'key': 'S0884291400057174_ref007', 'first-page': '1', 'volume-title': 'The Science of Hardness Testing and Its Research Applications', 'author': 'Shaw', 'year': '1973'}
/ The Science of Hardness Testing and Its Research Applications by Shaw (1973)10.1016/0020-7225(65)90019-4
{'key': 'S0884291400057174_ref001', 'volume-title': 'The Hardness of Metals', 'author': 'Tabor', 'year': '1951'}
/ The Hardness of Metals by Tabor (1951)10.1016/0956-7151(93)90194-W
10.1557/JMR.1999.0490
10.1063/1.368196
10.1063/1.121873
{'key': 'S0884291400057174_ref017', 'volume-title': 'Karlsson and Sorensen, Inc., ABAQUS', 'author': 'Hibbitt', 'year': '1996'}
/ Karlsson and Sorensen, Inc., ABAQUS by Hibbitt (1996){'key': 'S0884291400057174_ref006', 'first-page': '645', 'volume': '52', 'author': 'Meyer', 'year': '1908', 'journal-title': 'Zeits. D. Vereines Deutsch. Ingenieure'}
/ Zeits. D. Vereines Deutsch. Ingenieure by Meyer (1908)10.1016/0022-5096(63)90035-8
10.1557/JMR.1986.0601
10.1557/JMR.1992.1564
10.1098/rspa.1964.0114
10.1557/JMR.1992.0618
10.1557/JMR.1999.0306
10.1016/0022-5096(54)90017-4
10.1017/CBO9781139171731
10.1080/095008398178093
Dates
Type | When |
---|---|
Created | 17 years, 5 months ago (March 5, 2008, 9:37 p.m.) |
Deposited | 4 years, 6 months ago (Feb. 24, 2021, 5:19 p.m.) |
Indexed | 2 months ago (June 27, 2025, 7:03 p.m.) |
Issued | 24 years, 8 months ago (Dec. 1, 2000) |
Published | 24 years, 8 months ago (Dec. 1, 2000) |
Published Online | 14 years, 6 months ago (Jan. 31, 2011) |
Published Print | 24 years, 8 months ago (Dec. 1, 2000) |
@article{Cheng_2000, title={Hardness obtained from conical indentations with various cone angles}, volume={15}, ISSN={2044-5326}, url={http://dx.doi.org/10.1557/jmr.2000.0404}, DOI={10.1557/jmr.2000.0404}, number={12}, journal={Journal of Materials Research}, publisher={Springer Science and Business Media LLC}, author={Cheng, Yang-Tse and Li, Zhiyong}, year={2000}, month=dec, pages={2830–2835} }