A numerical approach to evaluation of elastic modulus using conical indenter with finite tip radius

Journal of Materials Research

Volumn 23, Issue 9, 2008, Pages 2528-2537

  Lee, Jin Haeng ^a,b   Lee, Hyungyil ^a   Kim, Deok Hoon ^a,c  

^a Sogang University   (South Korea)

^b University of Tennessee   (United States)

^c Hyundai Kia Motors   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC MODULI; ERROR ANALYSIS; FINITE ELEMENT METHOD; UNLOADING;

BERKOVICH INDENTERS; COEFFICIENT C; CONICAL INDENTER; CONICAL INDENTERS; FINITE-ELEMENT ANALYSIS; INDENTER; MATE RIAL PROPERTIES; MAXIMUM ERROR; NUMERICAL APPROACHES; NUMERICAL DATA; PRACTICAL USE; SELF SIMILARITIES; SHARP INDENTER; SHARP INDENTERS; TIP BLUNTING; TIP RADIUS; UNLOADING SLOPE;

NUMERICAL METHODS;

EID: 52649158791     PISSN: 08842914     EISSN: None     Source Type: Journal    
DOI: 10.1557/jmr.2008.0314     Document Type: Article

References (33)

1. I.N. Sneddon: The relaxation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).
2. M.F. Doerner and W.D. Nix: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1996).
3. W.C. Oliver and G.M. Pharr: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).
4. J.S. Field and M.V. Swain: Determining the mechanical properties of small volumes of material from submicrometer spherical indentations. J. Mater. Res. 10, 101 (1995).
5. A.E. Giannakopoulos and S. Suresh: Determination of elastoplastic properties by instrumented sharp indentation. Scr. Mater. 40, 1191 (1999).
6. N. Chollacoop, M. Dao, and S. Suresh: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).
7. J.L. Bucaille, S. Stauss, P. Schwaller, and J. Michler: A new technique to determine the elastoplastic properties of thin metallic films using sharp indenters. Thin Solid Films 447-448, 239 (2004).
8. H. Lee, J.H. Lee, and G.M. Pharr: A numerical approach to spherical indentation techniques for material property evaluation. J. Mech. Phys. Solids 53, 2037 (2005).
9. M. Beghini, L, Bertini, and V. Fontanari: Evaluation of the stress-strain curve of metallic materials by spherical indentation. Int. J. Solids Struct. 43, 2441 (2006).
10. X. Chen, N. Ogasawara, M. Zhao, and N. Chiba: On the uniqueness of measuring elastoplastic properties from indentation: ne indistinguishable mystical materials. J. Mech. Phys. Solids 55, 1618 (2007).
11. S. Suresh and A.E. Giannakopoulos: A new method for estimating residual stresses by instrumented sharp indentation. Acta Mater. 46, 5755 (1998).
12. Y.H. Lee and D. Kwon: Estimation of biaxial surface stress by instrumented indentation with sharp indenters. Acta Mater. 52, 1555 (2004).
13. Z.H. Xu and X. Li: Influence of equi-biaxial residual stress on unloading behaviour of nanoindentation. Acta Mater. 53, 1913 (2005).
14. J.H. Lee and H. Lee: An indentation method based on FEA for equi-biaxial residual stress evaluation. Trans. KSME 30, 42 (2006).
15. A.F. Bower, N.A. Fleck, A. Needleman, and N. Ogbonna: Indentation of a power law creeping solid. Proc. R. Soc. London Ser. A 441, 97 (1993).
16. J.A. LaManna: A study of the relationship between indentation creep and uniaxial creep. Ph.D. Dissertation, University of Tennessee, TN (2006).
17. B.R. Lawn, A.G. Evans, and D.B. Marshall: Elastic/plastic indentation damage in ceramics: The median/radial crack system. J. Am. Ceram. Soc. 63, 574 (1980).
18. G.M. Pharr: Measurement of mechanical properties by ultra-low-load indentation. Mater. Sci. Eng., A 253, 151 (1998).
19. J. Menčík and M.V. Swain: Error associated with depth-sensing microindentation tests. J. Mater. Res. 10, 1491 (1995).
20. Y-T. Cheng and C-M. Cheng: Further analysis of indentation loading curves: Effects of tip rounding on mechanical property measurements. J. Mater. Res. 13, 1059 (1998).
21. K. Herrmann, N.M. Jennett, W. Wegener, J. Meneve, K. Hasche, and R. Seemann: Progress in determination of the area function of indenters used for nanoindentation. Thin Solid Films 377-378, 394 (2000).
22. Z. Xue, Y. Huang, K.C. Hwang, and M. Li: The influence of indenter tip radius on the micro-indentation hardness. J. Eng. Mater. Technol. 124, 371 (2002).
23. M. Troyon and L. Huang: Correction factor for contact area in nanoindentation measurements. J. Mater. Res. 20, 610 (2005).
24. ABAQUS User's Manual, Version 6.5 (Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI, 2004).
25. G.M. Pharr, W.C. Oliver, and F.R. Brotzen: On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mater. Res. 7, 613 (1992).
26. C-M. Cheng and Y-T. Cheng: On the initial unloading slope in indentation of elastic-plastic solids by an indenter with an axisymmetric smooth profile. Appl. Phys. Lett. 71, 2623 (1997).
27. A.C. Fischer-Cripps: Critical review of analysis and interpretation of nanoindentation test data. Surf. Coat. Technol. 200, 4153 (2006).
28. ISO 14577, Metallic materials-instrumented indentation test for hardness and materials parameters, ISO Central Secreariat, 1 rue de Varembé, 1211 Geneva, 20 Switzerland.
29. J.R. Rice and G.F. Rosengren: Plane strain deformation near a crack-tip in a power law hardening material. J. Mech. Phys. Solids 16, 1 (1968).
30. S. Shim, W.C. Oliver, and G.M. Pharr: A comparison of 3D finite element simulations for Berkovich and conical indentation of fused silica. Int. J. Surf Sci. Eng. 1, 259 (2007).
31. Z-H. Xu and X. Li: 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).
32. J.H. Lee: A numerical approach and experimental verification of the indentation techniques for material property and residual stress evaluation. Ph.D. Dissertation, Sogang University, Seoul, Korea (2006).
33. M. Dao, N. Chollacoop, J.V. Vliet, T.A. Venkatesh, and S. Suresh: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).