Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-20T03:49:59.826Z Has data issue: false hasContentIssue false
  • English
  • Français

A novel method for determining surface residual stress components and their directions in spherical indentation

Published online by Cambridge University Press:  21 April 2015

Lei Shen ,
Yuming He ,
Dabiao Liu ,
Qiang Gong ,
Bo Zhang  and
Jian Lei
Lei Shen
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
Yuming He*
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
Dabiao Liu
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
Qiang Gong
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
Bo Zhang
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
Jian Lei
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
*
a)Address all correspondence to this author. e-mail: ymhe01@sina.com
Get access

Abstract

In this paper, a novel method is proposed to determine surface residual stress components and their directions based on the spherical indentation. To obtain the direction and the components of a uniaxial or biaxial residual stress, the relationship between the pile-up deformation around an indentation after unloading and the residual stress was firstly systematically studied and established by using numerical simulation. Through theoretical analysis and numerical simulation, we found that the position of the maximum residual stress is dependent on the maximum pile-up around an indentation after unloading. The direction and components of residual stress can be correctly determined by the unique relationship between pile-up after unloading and biaxial residual stress. This conclusion has been verified by the experiment results in the residual stress measurements of a welded specimen with spherical indentation and x-ray diffraction methods. Meanwhile, the influences of friction between the object surface and the indenter, the material hardening exponent of the specimen, and the elastic deformation upon the residual stress are discussed.

Type
Articles
Information
Journal of Materials Research , Volume 30 , Issue 8 , 28 April 2015 , pp. 1078 - 1089
Copyright
Copyright © Materials Research Society 2015 

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

Arsenault, R. and Taya, M.: Thermal residual stress in metal matrix composite. Acta Metall. 35(3), 651 (1987).CrossRefGoogle Scholar
Dong, P. and Brust, F.W.: Welding residual stresses and effects on fracture in pressure vessel and piping components: A millennium review and beyond. J. Pressure Vessel Technol. 122(3), 329 (2000).CrossRefGoogle Scholar
Golovin, Y.I.: Nanoindentation and mechanical properties of solids in submicrovolumes, thin near-surface layers, and films: A review. Phys. Solid State 50(12), 2205 (2008).CrossRefGoogle Scholar
Hu, E., He, Y., and Chen, Y.: Experimental study on the surface stress measurement with Rayleigh wave detection technique. Appl. Acoust. 70(2), 356 (2009).CrossRefGoogle Scholar
Gauthier, J., Krause, T.W., and Atherton, D.L.: Measurement of residual stress in steel using the magnetic Barkhausen noise technique. NDT&E Int. 31(1), 23 (1998).CrossRefGoogle Scholar
Gou, R., Zhang, Y., Xu, X., Sun, L., and Yang, Y.: Residual stress measurement of new and in-service X70 pipelines by X-ray diffraction method. NDT&E Int. 44(5), 387 (2011).CrossRefGoogle Scholar
Doerner, M.F. and Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1(4), 601 (1986).CrossRefGoogle 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).CrossRefGoogle Scholar
Dao, M., Chollacoop, N., Van Vliet, K.J., Venkatesh, T.A., and Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49(19), 3899 (2001).CrossRefGoogle Scholar
Jang, J-I., Choi, Y., Lee, J-S., Lee, Y-H., Kwon, D., Gao, M., and Kania, R.: Application of instrumented indentation technique for enhanced fitness-for-service assessment of pipeline crack. Int. J. Fract. 131(1), 15 (2005).CrossRefGoogle Scholar
Field, J.S. and Swain, M.V.: Determining the mechanical properties of small volumes of material from submicrometer spherical indentations. J. Mater. Res. 10(1), 101 (1995).CrossRefGoogle Scholar
Swain, M.V.: Mechanical property characterisation of small volumes of brittle materials with spherical tipped indenters. Mater. Sci. Eng., A 253(1), 160 (1998).CrossRefGoogle Scholar
Bushby, A.J. and Dunstan, D.J.: Plasticity size effects in nanoindentation. J. Mater. Res. 19(1), 137 (2004).CrossRefGoogle Scholar
Zhu, T.T., Bushby, A.J., and Dunstan, D.J.: Size effect in the initiation of plasticity for ceramics in nanoindentation. J. Mech. Phys. Solids 56(4), 1170 (2008).CrossRefGoogle Scholar
Suresh, S. and Giannakopoulos, A.E.: A new method for estimating residual stresses by instrumented sharp indentation. Acta Mater. 46(16), 5755 (1998).CrossRefGoogle Scholar
Cheng, Y-T. and Cheng, C-M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44(4), 91 (2004).CrossRefGoogle Scholar
Tsui, T.Y., Oliver, W.C., and 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(3), 752 (1996).CrossRefGoogle Scholar
Fischer-Cripps, A.C.: A simple phenomenological approach to nanoindentation creep. Mater. Sci. Eng., A 385(1), 74 (2004).CrossRefGoogle Scholar
Gouldstone, A., Chollacoop, N., Dao, M., Li, J., Minor, A.M., and Shen, Y-L.: Indentation across size scales and disciplines: Recent developments in experimentation and modeling. Acta Mater. 55(12), 4015 (2007).CrossRefGoogle Scholar
Kim, S.H., Lee, B.W., Choi, Y., and Kwon, D.: Quantitative determination of contact depth during spherical indentation of metallic materials—A FEM study. Mater. Sci. Eng., A 415(1), 59 (2006).CrossRefGoogle Scholar
Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19(1), 3 (2004).CrossRefGoogle Scholar
Chen, X., Yan, J., and Karlsson, A.M.: On the determination of residual stress and mechanical properties by indentation. Mater. Sci. Eng., A 416(1), 139 (2006).CrossRefGoogle Scholar
Lee, Y-H. and Kwon, D.: Estimation of biaxial surface stress by instrumented indentation with sharp indenters. Acta Mater. 52(6), 1555 (2004).CrossRefGoogle 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(9), 887 (2004).CrossRefGoogle Scholar
Kwon, D.I., Lee, J.S., Han, J.H., Lee, G.J., Lee, Y.H., Choi, M.J., and Kim, K.H.: Residual stress estimation with identification of stress directionality using instrumented indentation technique. Key Eng. Mater. 345, 1125 (2007).Google 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(4), 1049 (1998).CrossRefGoogle Scholar
Underwood, J.H.: Residual-stress measurement using surface displacements around an indentation. Exp. Mech. 13(9), 373 (1973).CrossRefGoogle Scholar
He, Y.M., Tay, C.J., and Shang, H.M.: Digital phase-shifting shearography for slope measurement. Opt. Eng. 38(9), 1586 (1999).Google Scholar