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An indentation method for evaluation of residual stress: ESTIMATION of stress-free indentation curve using stress-independent indentation parameters

Published online by Cambridge University Press:  06 February 2019

Jong-hyoung Kim ,
Sungki Choi ,
Junsang Lee ,
Hee-Jun Ahn ,
Young-Cheon Kim ,
Min-Jae Choi Open the ORCID record for Min-Jae Choi [Opens in a new window]  and
Dongil Kwon
Jong-hyoung Kim
Affiliation:
Department of Materials Science and Engineering, Seoul National University, Seoul 08826, Korea
Sungki Choi*
Affiliation:
Department of Materials Science and Engineering, Seoul National University, Seoul 08826, Korea
Junsang Lee
Affiliation:
Department of Materials Science and Engineering, Seoul National University, Seoul 08826, Korea
Hee-Jun Ahn
Affiliation:
Semiconductor R&D Center, Samsung Electronics, Hwaseong, Gyeonggi-do 18448, Korea
Young-Cheon Kim
Affiliation:
School of Advanced Materials Engineering, Andong National University, Andong, Gyeongsangbuk-do 36729, Korea
Min-Jae Choi*
Affiliation:
Nuclear Materials Research Division, Korea Atomic Energy Research Institute, Daejeon 34057, Korea
Dongil Kwon
Affiliation:
Department of Materials Science and Engineering, Seoul National University, Seoul 08826, Korea
*
a)Address all correspondence to this author. e-mail: mjchoi@kaeri.re.kr
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Abstract

Residual stress is generally evaluated using indentation by comparing the indentation curves of stressed and stress-free states. Here, we suggest a new method that can evaluate surface residual stress without indentation testing on stress-free specimen using stress-independent indentation parameters and an analysis of indentation contact morphology for the stress-free state. We found that several indentation parameters are independent of the stress by Vickers indentation testing on various stress states. The indentation contact morphology can be represented by indentation parameters including stress-independent ones, and by applying the stress-independent parameters obtained from the stressed state to the indentation contact depth function, we can estimate an indentation curve for stress-free state. The estimated curve matches well with the experimental stress-free indentation curve, and it was also confirmed that the applied stress values evaluated by comparing the estimated curve with the stressed indentation curve agree well with the reference values obtained from strain gauge.

Keywords

nano-indentationstress/strain relationshipmetal
Type
Article
Information
Journal of Materials Research , Volume 34 , Issue 7: Focus Section: Interconnects and Interfaces in Energy Conversion Materials , 15 April 2019 , pp. 1103 - 1111
Copyright
Copyright © Materials Research Society 2019 

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References

Tsui, T.Y., Oliver, W.C., and Pharr, G.M.: Influences of stress on the measurement of mechanical properties using nanoindentation. 1. Experimental studies in an aluminum alloy. J. Mater. Res. 11, 752 (1996).CrossRefGoogle Scholar
Bolshakov, A., Oliver, W.C., and Pharr, G.M.: Influences of stress on the measurement of mechanical properties using nanoindentation. 2. Finite element simulations. J. Mater. Res. 11, 760 (1996).10.1557/JMR.1996.0092CrossRefGoogle Scholar
Suresh, S. and Giannakopoulos, A.E.: A new method for estimating residual stresses by instrumented sharp indentation. Acta Mater. 46, 5755 (1998).10.1016/S1359-6454(98)00226-2CrossRefGoogle Scholar
Carlsson, S. and Larsson, P.L.: On the determination of residual stress and strain fields by sharp indentation testing.: Part I: Theoretical and numerical analysis. Acta Mater. 49, 2179 (2001).10.1016/S1359-6454(01)00122-7CrossRefGoogle Scholar
Carlsson, S. and Larsson, P.L.: On the determination of residual stress and strain fields by sharp indentation testing.: Part II: Experimental investigation. Acta Mater. 49, 2193 (2001).10.1016/S1359-6454(01)00123-9CrossRefGoogle Scholar
Lee, Y-H. and Kwon, D.: Estimation of biaxial surface stress by instrumented indentation with sharp indenters. Acta Mater. 52, 1555 (2004).10.1016/j.actamat.2003.12.006CrossRefGoogle Scholar
Kang, S-K., Kim, J-Y., Park, C-P., Kim, H-U., and Kwon, D.: Conventional Vickers and true instrumented indentation hardness determined by instrumented indentation tests. J. Mater. Res. 25, 337 (2010).10.1557/JMR.2010.0045CrossRefGoogle Scholar
Kang, S-K., Kim, J-H., Lee, Y-H., Kim, J-Y., and Kwon, D.: Correlation between the plastic strain and the plastic pileup of the instrumented indentation by utilizing the interrupted tensile test. Mater. Sci. Eng., A 535, 197 (2012).10.1016/j.msea.2011.12.063CrossRefGoogle Scholar
Lu, Z., Feng, Y., Peng, G., Yang, R., Huan, Y., and Zhang, T.: Estimation of surface equi-biaxial residual stress by using instrumented sharp indentation. Mater. Sci. Eng., A 614, 264 (2014).10.1016/j.msea.2014.07.041CrossRefGoogle Scholar
Attaf, M.T.: Connection between the loading curve models in elastoplastic indentation. Mater. Lett. 58, 3491 (2004).10.1016/j.matlet.2004.06.049CrossRefGoogle Scholar
Voyiadjis George, Z. and Almasri Amin, H.: Variable material length scale associated with nanoindentation experiments. J. Eng. Mech. 135, 139 (2009).10.1061/(ASCE)0733-9399(2009)135:3(139)CrossRefGoogle Scholar
Broitman, E.: Indentation hardness measurements at macro-, micro-, and nanoscale: A critical overview. Tribol. Lett. 65, 23 (2016).10.1007/s11249-016-0805-5CrossRefGoogle Scholar
Akatsu, T., Numata, S., Shinoda, Y., and Wakai, F.: Effect of the elastic deformation of a point-sharp indenter on nanoindentation behavior. Materials 10, 270 (2017).10.3390/ma10030270CrossRefGoogle ScholarPubMed
Stilwell, N.A. and Tabor, D.: Elastic recovery of conical indentations. Proc. Phys. Soc. 78, 169 (1961).10.1088/0370-1328/78/2/302CrossRefGoogle 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, 1564 (1992).10.1557/JMR.1992.1564CrossRefGoogle Scholar
Giannakopoulos, A.E., Larsson, P.L., and Vestergaard, R.: Analysis of Vickers indentation. Int. J. Solids Struct. 31, 2679 (1994).10.1016/0020-7683(94)90225-9CrossRefGoogle Scholar
Bolshakov, A. and Pharr, G.M.: Influences of pileup on the measurement of mechanical properties by load and depth sensing indentation techniques. J. Mater. Res. 13, 1049 (1998).10.1557/JMR.1998.0146CrossRefGoogle Scholar
Lee, Y-H., Takashima, K., Higo, Y., and Kwon, D.: Prediction of stress directionality from pile-up morphology around remnant indentation. Scr. Mater. 51, 887 (2004).10.1016/j.scriptamat.2004.06.034CrossRefGoogle Scholar
Ling, L., Long, S., Ma, Z., and Liang, X.: Numerical study on the effects of equi-biaxial residual stress on mechanical properties of nickel film by means of nanoindentation. J. Mater. Sci. Technol. 26, 1001 (2010).10.1016/S1005-0302(10)60164-8CrossRefGoogle Scholar
Kang, S-K., Kim, Y-C., Lee, J-W., Kwon, D., and Kim, J-Y.: Effect of contact angle on contact morphology and Vickers hardness measurement in instrumented indentation testing. Int. J. Mech. Sci. 85, 104 (2014).10.1016/j.ijmecsci.2014.05.002CrossRefGoogle Scholar
ASTM E2546-15: Standard Practice for Instrumented Indentation Testing (ASTM International, West Conshohocken, Pennsylvania, 2015).Google Scholar
Xiao, L., Ye, D., and Chen, C.: A further study on representative models for calculating the residual stress based on the instrumented indentation technique. Comput. Mater. Sci. 82, 476 (2014).10.1016/j.commatsci.2013.10.014CrossRefGoogle Scholar
Lee, Y.H., Ji, W.j., and Kwon, D.: Stress measurement of SS400 steel beam using the continuous indentation technique. Exp. Mech. 44, 55 (2004).10.1007/BF02427977CrossRefGoogle Scholar
Alcalá, J., Barone, A.C., and Anglada, M.: The influence of plastic hardening on surface deformation modes around Vickers and spherical indents. Acta Mater. 48, 3451 (2000).10.1016/S1359-6454(00)00140-3CrossRefGoogle Scholar