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Advances in Materials Science and Engineering
Volume 2018 (2018), Article ID 8316384, 9 pages
Research Article

Representative Stress-Strain Curve by Spherical Indentation on Elastic-Plastic Materials

1School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China
2Departamento de Tecnología Química y Ambiental, Tecnología Química y Energética y Tecnología Mecánica, Escuela Superior de Ciencias Experimentales y Tecnología, Universidad Rey Juan Carlos, c/Tulipán s/n Móstoles, Madrid, Spain
3Departamento de Ciencia de Materiales, UPM, E.T.S.I. Caminos, Canales y Puertos, c/ Professor Aranguren s/n, 28040 Madrid, Spain
4School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Correspondence should be addressed to Chao Chang; moc.361@tsuyt_gnahc_oahc

Received 12 August 2017; Revised 4 December 2017; Accepted 25 December 2017; Published 26 February 2018

Academic Editor: Baozhong Sun

Copyright © 2018 Chao Chang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Tensile stress-strain curve of metallic materials can be determined by the representative stress-strain curve from the spherical indentation. Tabor empirically determined the stress constraint factor (stress CF), ψ, and strain constraint factor (strain CF), β, but the choice of value for ψ and β is still under discussion. In this study, a new insight into the relationship between constraint factors of stress and strain is analytically described based on the formation of Tabor’s equation. Experiment tests were performed to evaluate these constraint factors. From the results, representative stress-strain curves using a proposed strain constraint factor can fit better with nominal stress-strain curve than those using Tabor’s constraint factors.