Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-19T06:29:25.175Z Has data issue: false hasContentIssue false

An integrated method to determine elastic–plastic parameters by instrumented spherical indentation

Published online by Cambridge University Press:  23 April 2014

Chang Yu
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Yihui Feng
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Rong Yang
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Guangjian Peng
Affiliation:
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China
Zhike Lu
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Taihua Zhang*
Affiliation:
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China
*
a)Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

This paper aims to develop an integrated method to extract elastic–plastic parameters from a single instrumented spherical indentation curve. The expression of unloading work is chosen to be combined with the previous work [P. Jiang, T.H. Zhang et al, J. Mater. Res.24(3), 1045 (2009)]. An extensive numerical study was performed to examine the effectiveness of the method. Refitting Jiang's similarity solution based on the numerical study was also performed to simplify the form of the expression and improve the accuracy of the elastic–plastic parameters extracted. The results show that the error of our solution was less than ±5%. We also examined its sensitivity by assessing levels of artificial error introduced into the testing parameters used in the method. These results show that this method can provide reasonable estimates of the elastic–plastic parameters for most common metals.

Type
Articles
Copyright
Copyright © Materials Research Society 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Cheng, Y.T. and Cheng, C.M.: Can stress-strain relationships be obtained from indentation curves using conical and pyramidal indenters. J. Mater. Res. 14(9), 3493 (1999).CrossRefGoogle Scholar
Hasanov, A.: An inversion method for identification of elastoplastic properties for engineering materials from limited spherical indentation measurements. Inverse Probl. Sci. Eng. 15(6), 601 (2007).Google Scholar
Le, M.Q.: Material characterization by instrumented spherical indentation. Mech. Mater. 46, 42 (2012).CrossRefGoogle Scholar
Ogasawara, N., Chiba, N., and Chen, X.: A simple framework of spherical indentation for measuring elastoplastic properties. Mech. Mater. 41, 1025 (2009).Google Scholar
Liu, L., Ogasawara, N., Chiba, N., and Chen, X.: Can indentation technique measure unique elastoplastic properties. J. Mater. Res. 24(3), 784 (2009).Google Scholar
Jiang, P., Zhang, T.H., Feng, Y.H., Yang, R., and Liang, N.G.: Determination of plastic properties by instrumented spherical. J. Mater. Res. 24(3), 1045 (2009).CrossRefGoogle Scholar
Jiang, P., Zhang, T.H. and Yang, R.: Experimental verification for an instrumented spherical. J. Mater. Res. 26(11), 1414 (2011).Google Scholar
Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7(6), 1564 (1992).Google Scholar
Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation advances in understanding and refinement. J. Mater. Res. 19(1), 3 (2004).CrossRefGoogle Scholar
Johnson, K.L.: The correlation of indentation experiments. J. Mech. Phys. Solids 18, 115 (1990).CrossRefGoogle Scholar
Hill, R.: The Mathematical Theory of Plasticity (Oxford University Press, New York, 1998).CrossRefGoogle Scholar
Yang, R., Zhang, T.H., and Feng, Y.H.: Theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation for work-hardening materials. J. Mater. Res. 25(11), 2072 (2010).Google Scholar
Song, G.R., Wei, X.L., He, C.F., and Wu, B.: A new method for measuring elastic constants of limited-size materials and the errors analysis, in Third International Symposium on Precision Mechanical Measurements. Vol. 6280 II:62803O (Proc. SPIE 6280, Urumqi, China, 2006).Google Scholar