Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T16:13:07.920Z Has data issue: false hasContentIssue false

Study of ratcheting by the indentation fatigue method with a flat cylindrical indenter. Part II. Finite element simulation

Published online by Cambridge University Press:  03 March 2011

B.X. Xu*
Affiliation:
School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, People’s Republic of China
Z.F. Yue*
Affiliation:
School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, People’s Republic of China
*
a) Address all correspondence to these authors. e-mail: baoxingxu@mail.nwpu.edu.cn
Get access

Abstract

The finite element method (FEM) was used to study the flat cylindrical indentation fatigue behavior using a kinematic hardening model (A-F model). This study was motivated by the experimental work of the preceding paper [B.X. Xu and Z.F. Yue, J. Mater. Res.21, 1793 (2006)], in which there were obvious similarities in the behavior of conventional fatigue specimens and indentation fatigue specimens. It is proposed that the A-F model can predict the indentation fatigue behavior. Generally, the experimental behavior of the indentation fatigue testing can be explained by the FEM analysis. In addition, the effect of residual stress on the indentation depth per cycle was studied. The effect of friction between the indenter and the specimen and evolution of von Mises stress beneath the indenter was also investigated. Numerical results showed that the effect of friction on the indentation depth propagation can be neglected. Further analysis showed that the steady-state indentation depth per cycle increases with increasing compressive residual stress and decreasing tensile residual stress.

Type
Articles
Copyright
Copyright © Materials Research Society 2007

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

1Feltner, C.E.: Dislocation arrangements in aluminum deformation by repeated tensile stresses. Acta Metall. 11, 817 (1963).Google Scholar
2Evans, J.T. and Parkins, R.N.: Creep induced by load cycling in a C–Mn steel. Acta Metall. 24, 511 (1976).CrossRefGoogle Scholar
3Bennett, P.S.G. and Evans, J.T.: Creep stimulated by interrupted loading in copper and copper–1% cadmium. Mater. Sci. Eng. 38, 111 (1979).CrossRefGoogle Scholar
4Lorenzo, F. and Laird, C.: Strain bursts in the cyclic creep of copper single crystals at ambient temperature. Acta Metall. 32, 671 (1984).CrossRefGoogle Scholar
5Lorenzo, F. and Laird, C.: Cyclic creep acceleration and retardation in polycrystalline copper tested at ambient temperature. Acta Metall. 32, 681 (1984).Google Scholar
6Johnson, K.L.: Contact Mechanics (Cambridge University Press, London, UK, 1985).Google Scholar
7Chaboche, J.L. and Nouaihas, D.: Constitutive modelling of ratchetting effects—Part I: Experimental facts and properties of the classical models. J. Eng. Mater. Technol. 111, 384 (1989).Google Scholar
8Chaboche, J.L. and Nouaihas, D.: Constitutive modelling of ratchetting effects—Part II: Possibilities of some additional kinematic rules. J. Eng. Mater. Technol. 111, 409 (1989).Google Scholar
9Ohno, N.: Recently topics in constitutive modelling of cyclic plasticity and viscoplasticity. Appl. Mech. Rev. 43, 283 (1990).Google Scholar
10Yoshida, F.: A constitutive model of cyclic plasticity. Int. J. Plast. 16, 359 (2000).CrossRefGoogle Scholar
11Xia, Z. and Ellyin, F.: A constitutive model with capability to simulate complex multiaxial ratcheting behaviour of materials. Int. J. Plast. 13, 127 (1997).CrossRefGoogle Scholar
12Jiang, Y. and Sehitoglu, H.: Modeling of cyclic ratchetting plasticity, Part I: Development of constitutive relations. J. Appl. Mech. 63, 720 (1996).Google Scholar
13Kapoor, A.: A pre-evaluation of the life to rapture of ductile metals by cyclic plastic strain. Fatigue Fract. Eng. Mater. Struct. 17, 201 (1994).Google Scholar
14Kapoor, A. and Johnson, K.L.: Plastic ratcheting as a mechanism of metallic wear. Proc. R. Soc. London Ser. A. 44, 367 (1994).Google Scholar
15Kapoor, A. and Johnson, K.L.: Plastic ratcheting as a mechanism of erosive wear. Wear 186–187, 86 (1995).Google Scholar
16Kapoor, A.: Wear by plastic ratcheting. Wear 212, 119 (1997).Google Scholar
17Oliver, 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).Google Scholar
18Cheng, Y.T. and Cheng, C.M.: Relationships between hardness, elastic modulus, and the work of indentation. Appl. Phys. Lett. 73, 614 (1998).Google Scholar
19Lawn, B. and Wilshaw, R.: Indentation fracture: Principles and applications. J. Mater. Sci. 10, 1049 (1975).Google Scholar
20Giannakopoulos, E. and Suresh, S.: Determination of elasto-plastic properties by instrumented sharp indentation. Scripta Mater. 40, 1191 (1999).Google Scholar
21Ogasawara, N., Chiba, N., and Chen, X.: Measuring the plastic properties of bulk materials by single indentation test. Scripta Mater. 54, 65 (2006).Google Scholar
22Li, J.C.M.: Impression creep and other localized tests. Mater. Sci. Eng., A 322, 23 (2002).Google Scholar
23Xu, B.X. and Yue, Z.F.: A study of the ratcheting by the indentation fatigue method with a flat cylindrical indenter: Part I. Experimental study. J. Mater. Res. 21, 1793 (2006).Google Scholar
24Bari, S. and Hassan, T.: Anatomy of coupled constitutive models for ratcheting simulation. Int. J. Plast. 16, 381 (2000).Google Scholar
25Abdel-Karim, M. and Ohno, N.: Kinematic hardening model suitable for ratchetting with steady-state. Int. J. Plast. 16, 225 (2000).Google Scholar
26Corona, E., Hassan, T., and Kyriakides, S.: On the performance of kinematic hardening rules in predicting a class of biaxial ratcheting histories. Int. J. Plast. 12, 117 (1996).Google Scholar
27Johansson, G., Ekh, M., and Runesson, K.: Computational modeling of inelastic large ratcheting strains. Int. J. Plast. 21, 955 (2005).Google Scholar
28Kang, G.Z.: A visco-plastic constitutive model for ratcheting of cyclically stable materials and its finite element implementation. Mech. Mater. 36, 299 (2004).Google Scholar
29Chen, X. and Jiao, R.: Modified kinematic hardening rule for multiaxial ratcheting prediction. Int. J. Plast. 20, 871 (2004).Google Scholar
30Suresh, S.: Fatigue of Materials (Cambridge University Press, London, UK, 1991).Google Scholar
31Armstrong, P.J. and Frederick, C.O.: A mathematical representation of the multiaxial Bauschinger effect. CEGB Report No. RD/B/N 731 (Berkeley Nuclear Laboratories, 1966).Google Scholar
32Huber, N. and Tsakmakis, C.H.: Determination of constitutive properties from spherical indentation data using neural networks. Part I: The case of pure kinematic hardening in plasticity laws. J. Mech. Phys. Solids 47, 1569 (1999).Google Scholar
33Huber, N. and Tsakmakis, Ch.: Experimental and theoretical investigation of the effect of kinematic hardening on spherical indentation. Mech. Mater. 27, 241 (1998).Google Scholar
34 Hibbitt, Karlsson, and Sorensen, Inc., ABAQUS User’s Manual (M). Version 6.2.Google Scholar
35Xu, B.X., Zhao, B., and Yue, Z.F.: Finite element analysis of the indentation stress characteristics of the thin film/substrate systems by the flat cylindrical indenters. Mater. Sci. Eng. Technol. 37, 681 (2006).Google Scholar
36Dorner, D., Roller, K., Skrotzki, B., Stockhert, B., and Eggeler, G.: Creep of a TiAl alloy: A comparison of indentation and tensile testing. Mater. Sci. Eng., A 357, 346 (2003).Google Scholar
37Yamamoto, T., Kurishita, H., and Matsui, H.: Modeling of the cyclic ball indentation test for small specimens using the finite element method. J. Nucl. Mater. 271–272, 440 (1999).Google Scholar
38Yokouchi, Y., Greenfield, I.G., Chou, T-W., and Iturbe, E.B.: Elasticplastic analysis of indentation damage: Cyclic loading of copper. J. Mater. Sci. 22, 3087 (1987).Google Scholar
39Peters, J.O., Boyce, B.L., Chen, X., Mcnaney, J.M., Hutchinson, J.W., and Ritchie, R.O.: Role of residual stresses on high-cycle fatigue of impact-damaged Ti-6Al-4V: Surface vs. subsurface crack initiation, in Proceedings of the International Conference on Fatigue in the Very High Cycle Regime, edited by Stanzl-Tschegg, S.E. and Mayer, H.M. (BOKU, Vienna, Austria, 2001), pp. 129140.Google Scholar