Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-23T11:22:09.906Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical approaches and experimental verification of the conical indentation techniques for residual stress evaluation

Published online by Cambridge University Press:  31 January 2011

Jin Haeng Lee ,
Hyungyil Lee ,
Hong Chul Hyun  and
Minsoo Kim
Jin Haeng Lee*
Affiliation:
Sogang University, Department of Mechanical Engineering, Seoul 121-742, Republic of Korea
Hyungyil Lee
Affiliation:
Sogang University, Department of Mechanical Engineering, Seoul 121-742, Republic of Korea
Hong Chul Hyun
Affiliation:
Sogang University, Department of Mechanical Engineering, Seoul 121-742, Republic of Korea
Minsoo Kim
Affiliation:
Sogang University, Department of Mechanical Engineering, Seoul 121-742, Republic of Korea
*
a)Address all correspondence to this author. e-mail: [email protected] Present address: Korea Atomic Energy Research Institute, Yuseong-gu, Daejeon 305-353, Republic of Korea.
Get access

Abstract

Conical indentation methods to determine residual stress are proposed by examining the finite element solutions based on the incremental plasticity theory. We first note that hardness depends on the magnitude and sign of residual stress and material properties and can change by up to 20% over a specific range of elastic tensile and compressive residual stress, although some prior indentation studies reported that hardness is hardly affected by residual stress. By analyzing the characteristics of conical indentation, we then select some normalized indentation parameters, which are free from the effect of indenter tip rounding. Adopting dimensional analysis, we present practical conical indentation methods for the evaluation of elastic/plastic equi- and nonequi-biaxial residual stresses. The validity of developed approaches is confirmed by applying them to the experimental evaluation of four-point bending stress.

Keywords

NanoindentationStress/Strain RelationshipSimulation
Type
Articles
Information
Journal of Materials Research , Volume 25 , Issue 11 , November 2010 , pp. 2212 - 2223
Copyright
Copyright © Materials Research Society 2010

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

1.Suresh, S., Giannakopoulos, A.E.: A new method for estimating residual stresses by instrumented sharp indentation. Acta Mater. 46, 5755 (1998)CrossRefGoogle Scholar
2.Carlsson, S., 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)CrossRefGoogle Scholar
3.Tsui, T.Y., Oliver, W.C., Pharr, G.M.: Influences of stress on the measurement of mechanical properties using nanoindentation: Part I. Experimental studies in an aluminum alloy. J. Mater. Res. 11, 752 (1996)CrossRefGoogle Scholar
4.Bolshakov, A., Oliver, W.C., Pharr, G.M.: Influences of stress on the measurement of mechanical properties using nanoindentation: Part II. Finite element simulations. J. Mater. Res. 11, 760 (1996)CrossRefGoogle Scholar
5.Lee, Y-H., Kwon, D.: Estimation of biaxial surface stress by instrumented indentation with sharp indenters. Acta Mater. 52, 1155 (2004)CrossRefGoogle Scholar
6.Atar, E., Sarioglu, C., Demirler, U., Kayali, E.S., Cimenoglu, H.: Residual stress estimation of ceramic thin films by x-ray diffraction and indentation techniques. Scr. Mater. 48, 1331 (2003)CrossRefGoogle Scholar
7.Xu, Z.H., Li, X.: Influence of equi-biaxial residual stress on unloading behaviour of nanoindentation. Acta Mater. 53, 1913 (2005)CrossRefGoogle Scholar
8.Chen, X., Yan, J., Karlsson, A.M.: On the determination of residual stress and mechanical properties by indentation. Mater. Sci. Eng., A 416, 139 (2006)CrossRefGoogle Scholar
9.Lee, J.H., Lee, H., Kim, D.H.: A numerical approach to evaluation of elastic modulus using conical indenter with finite tip-radius. J. Mater. Res. 23, 2528 (2008)CrossRefGoogle Scholar
10.ABAQUS ABAQUS User Manual (Simulia Co, Providence, RI 2008)Google Scholar
11.Lee, H., Lee, J.H., Pharr, G.M.: A numerical approach to spherical indentation technique for material property evaluation. J. Mech. Phys. Solids 53, 2037 (2005)CrossRefGoogle Scholar
12.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
13.Rice, J.R., Rosengren, G.F.: Plane strain deformation near a crack-tip in a power law hardening material. J. Mech. Phys. Solids 16, 1 (1968)CrossRefGoogle Scholar
14.Taljat, B., Zacharia, T., Kosel, F.: New analytical procedure to determine stress–strain curve from spherical indentation data. Int. J. Solids Struct. 35, 4411 (1998)CrossRefGoogle Scholar
15.Lee, J.H., Kim, T., Lee, H.: A study on robust indentation techniques to evaluate elastic–plastic properties of metals. Int. J. Solids Struct. 47, 647 (2010)CrossRefGoogle Scholar
16.Fischer-Cripps, A.C.: A review of analysis methods for sub-micron indentation testing. Vacuum 58, 569 (2000)CrossRefGoogle Scholar
17.Barber, J.R., Billings, D.A.: An approximate solution for the contact area and elastic compliance of a smooth punch of arbitrary shape. Int. J. Mech. Sci. 32, 991 (1990)CrossRefGoogle Scholar
18.Xu, Z.H., Li, X.: Effects of indenter geometry and material properties on the correction factor of Sneddon's relationship for nanoindentation of elastic and elastic–plastic materials. Acta Mater. 56, 1399 (2008)CrossRefGoogle Scholar
19.Shim, S., Oliver, W.C., Pharr, G.M.: A comparison of 3D finite element simulations for Berkovich and conical indentation of fused silica. Int. J. Surf. Sci. Eng. 1, 259 (2007)CrossRefGoogle Scholar
20.Lee, J.H., Gao, Y.F., Pharr, G.M.: An approach to analysis of indentation data using three-sided and conical indenters. ( In preparation )Google Scholar
21.Hyun, H.C., Lee, J.H., Lee, H.: Mathematical expressions for stress–strain curve of metallic material. Trans. KSME 32, 21 (2008)CrossRefGoogle Scholar