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Revelation of a functional dependence of the sum of two uniaxial strengths/hardness on elastic work/total work of indentation

Published online by Cambridge University Press:  01 April 2006

Dejun Ma
Affiliation:
Department of Mechanical Engineering, The Academy of Armored Forces Engineering, Beijing 100072, People's Republic of China
Taihua Zhang
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
Chung Wo Ong*
Affiliation:
Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, People's Republic of China
*
a) Address all correspondence to this author. e-mail: apacwong@inet.polyu.edu.hk
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Abstract

Dimensional and finite element analyses were used to analyze the relationship between the mechanical properties and instrumented indentation response of materials. Results revealed the existence of a functional dependence of (engineering yield strength σE,y + engineering tensile strength σE,b)/Oliver & Pharr hardness on the ratio of reversible elastic work to total work obtained from an indentation test. The relationship links up the Oliver & Pharr hardness with the material strengths, although the Oliver & Pharr hardness may deviate from the true hardness when sinking in or piling up occurs. The functional relationship can further be used to estimate the sum σE,y + σE,b according to the data of an instrumented indentation test. The σE,y + σE,b value better reflects the strength of a material compared to the hardness value alone. The method was shown to be effective when applied to aluminum alloys. The relationship can further be used to estimate the fatigue limits, which are usually obtained from macroscopic fatigue tests in different modes.

Type
Articles
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1.Tabor, D.: The Hardness of Metals (Oxford, London, UK, 2000), pp. 104106.Google Scholar
2.Cheng, Y-T., Cheng, C-M.: Scaling approach to conical indentation in elastic-plastic solids with work hardening. J. Appl. Phys. 84, 1284 (1998).Google Scholar
3.Dao, M., Chollacoop, N., Van Vliet, K.J., Venkatesh, T.A., Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).CrossRefGoogle Scholar
4.Giannakopoulos, A.E., Suresh, S.: Determiniation of elastoplastic properties by instrumented sharp indentation. Scripta Mater. 40, 1191 (1999).Google Scholar
5.Zeng, K., Chiu, C.H.: An analysis of load-penetration curves from instrumented indentation. Acta Mater. 49, 3539 (2001).Google Scholar
6.Cheng, Y-T., Cheng, C-M.: Can stress–strain relationships be obtained from indentation curves using conical and pyramidal indenters? J. Mater. Res. 14, 3493 (1999).CrossRefGoogle Scholar
7.Capehart, T.W., Cheng, Y-T.: Determining constitutive models from conical indentation: Sensitivity analysis. J. Mater. Res. 18, 827 (2003).CrossRefGoogle Scholar
8.Tho, K.K., Swaddiwudhipong, S., Liu, Z.S., Zeng, K., Hua, J.: Uniqueness of reverse analysis from conical indentation tests. J. Mater. Res. 19, 2498 (2004).CrossRefGoogle Scholar
9.Bucaille, J.L., Stauss, S., Felder, E., Michler, J.: Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 51, 1663 (2003).CrossRefGoogle Scholar
10.Cao, Y., Qian, X., Lu, J., Yao, Z.: An energy-based method to extract plastic properties of metal materials from conical indentation tests. J. Mater. Res. 20, 1194 (2005).CrossRefGoogle Scholar
11.Oliver, W.C., Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
12.Pharr, G.M., Oliver, W.C., Brotzen, F.R.: On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mater. Res. 7, 613 (1992).CrossRefGoogle Scholar
13.Oliver, W.C., Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19, 3 (2004).Google Scholar
14.ABAQUS Version 6.2 (Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, RI, 2001).Google Scholar
15.Ma, D., Zhang, T., Ong, C.W.: Evaluation of effectiveness of representative methods for determining Young's modulus and hardness from instrumented indentation data. J. Mater. Res. 21, 225 (2006).Google Scholar
16.Ma, D., Ong, C.W., Wong, S.F.: New relationship between Young's modulus and nonideally sharp indentation parameters. J. Mater. Res. 19, 2144 (2004).CrossRefGoogle Scholar
17.Ma, D., Ong, C.W., Lu, J., He, J.: Methodology for the evaluation of yield strength and hardening behavior of metallic materials by indentation with spherical tip. J. Appl. Phys. 94, 288 (2003).Google Scholar
18.Song, Y.: Design, Selection and Prediction of Metallic Materials (Mechanical Industry Press, Beijing, China, 1998), p. 443.Google Scholar
19.Xu, H.: Design of Fatigue Strength (Mechanical Industry Press, Beijing, China, 1981), p. 45 (in Chinese).Google Scholar
20.Li, M., Buxbaum, O., Lowak, H.: Structure Design Against Fatigue (Mechanical Industry Press, Beijing, China, 1987), p. 31 (in Chinese).Google Scholar