Browse > Article
http://dx.doi.org/10.3795/KSME-A.2009.33.9.859

A Conical Indentation Technique Based on FEA Solutions for Property Evaluation  

Hyun, Hong-Chul (서강대학교 대학원 기계공학과)
Kim, Min-Soo (서강대학교 대학원 기계공학과)
Lee, Jin-Haeng (서강대학교 대학원 기계공학과)
Lee, Hyung-Yil (서강대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.33, no.9, 2009 , pp. 859-869 More about this Journal
Abstract
The sharp indenters such as Berkovich and conical indenters have a geometrical self-similarity in theory, but different materials have the same load-depth curve in case of single indentation. In this study, we analyze the load-depth curves of conical indenter with angles of indenter via finite element method. From FE analyses of dual-conical indentation test, we investigate the relationships between indentation parameters and load-deflection curves. With numerical regressions of obtained data, we finally propose indentation formulae for material properties evaluation. The proposed approach provides stress-strain curve and the values of elastic modulus, yield strength and strain-hardening exponent with an average error of less than 2%. It is also discussed that the method is valid for any elastically deforming indenters made of tungsten carbide and diamond for instance. The proposed indentation approach provides a substantial enhancement in accuracy compared with the prior methods.
Keywords
Conical Indenter; Tip-Radius; FEM; Dual-Conical Indentation;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
Times Cited By SCOPUS : 2
연도 인용수 순위
1 Chen, X., Ogasawara, N., Zhao, M. and Chiba, N., 2007, 'On the Uniqueness of Measuring Elastoplastic Properties from Indentation: The Indistinguishable Mystical Materials,' Journal of the Mechanics and Physics Solid, Vol. 55, pp. 1618 ~ 1660   DOI   ScienceOn
2 Sneddon, I. N., 1965, 'The Relation between Load and Penetration in the Axisymmetric Boussinesq Problem for a Punch of Arbitrary Profile,' International Journal of Engineering Science, Vol. 3, pp. 47~57   DOI   ScienceOn
3 Xu, Z. -H. and Li, X., 2008, 'Effect of Indenter Geometry and Material Properties on the Correction Factor of Sneddon's Relationship for Nanoindentation of Elastic-plastic Materials,' Acta Materialia, Vol. 56, pp. 1399~1405   DOI   ScienceOn
4 Dao, M., Chollacoop, N., Van Vliet, K. J., Venkatesh, T. A. and Suresh, S., 2001, 'Computational Modeling of the Forward and Reverse Problems in Instrumented Sharp Indentation,' Acta Materialia, Vol. 49, pp. 3899~3918   DOI   ScienceOn
5 Giannakopoulos, A. E., Larsson, P.-L. and Vestergaard, R., 1994, 'Analysis of Vickers Indentation,' International Journal of Solids and Structures, Vol. 31, pp. 2679~2708   DOI   ScienceOn
6 Giannakopoulos, A. E. and Suresh, S., 1999, 'Determination of Elastoplastic Properties by Instrumented Sharp Indentation,' Scripta Materialia, Vol. 40, pp. 1191~1198   DOI   ScienceOn
7 Lee, J. H., 2006, A Numerical Approach and Experimental Verification of the Indentation Techniques for Material Property and Residual Stress Evaluation, Ph. D. Dissertation, Department of Mechanical Engineering, Sogang University
8 Capehart, T. W., Cheng, Y. -T., 2003, 'Determination Constitutive Models from Conical Indentation: Sensitivity Analysis,' Journal of Materials Research, Vol. 18, pp. 827~832   DOI   ScienceOn
9 Larsson, P. -L., Giannakopoulos, A. E., Soderlund, E., Rowcliffe, D. J. and Vestergaard, R., 1996, 'Analysis of Berkovich Indentation,' International Journal of Solids and Structures, Vol. 33, pp. 221~248   DOI   ScienceOn
10 Taljat, B., Zacharia, T. and Kosel, F., 1997, 'New Analytical Procedure to Determine Stress-Strain Curve from Spherical Indentation Data,' International Journal of Solids and Structures, Vol. 35, pp. 4411~4426   DOI   ScienceOn
11 Lee, J. H. and Lee, H., 2006, 'An Indentation Method Based on FEA for Equi-biaxial Residual Stress Evaluation,' Transactions of KSME, Vol. 30, No. 1, pp. 42~51   과학기술학회마을   DOI   ScienceOn
12 Lee, J. H. and Lee, H., 2007, 'Enhanced Spherical Indentation Techniques for Property Evaluation,' Transactions of KSME, Vol. 31, No. 43, pp. 461~471   과학기술학회마을   DOI   ScienceOn
13 Shim, S., Oliver, W. C. and Pharr, G. M., 2007, 'A Comparison of 3D Finite Element Simulation for Berkovich and Conical Indentation of Fused Silica,' International Journal of Surface Science and Engineering, Vol. 1, pp. 259~273   DOI
14 Lee, J. H., Yu, H. S. and Lee, H., 2007, 'A Numerical Approach to Indentation Techniques for Thin-film Property Evaluation,' Transactions of KSME, Vol. 31, No. 3, pp. 313~321   과학기술학회마을   DOI   ScienceOn
15 Lee, J. H., Lee, H. and Pharr, G. M., 2005, 'A Numerical Approach to Spherical Indentation Tech-niques for Material Property Evaluation,' Journal of the Mechanics and Physics Solid, Vol. 53, pp. 2037~ 2069   DOI   ScienceOn
16 Cheng, Y. T. and Cheng, C. M., 1998, 'Scaling Approach to Conical Indentation in Elasto-plastic Solids with Work Hardening,' Journal of Applied Physics, Vol. 84, pp. 1284~1291   DOI   ScienceOn
17 Tho, K. K., Swaddiwudhipong, S., Liu, Z. S., Zeng, K., Hua, J., 2004, 'Uniqueness of Reverse Analysis from Conical Indentation Test,' Journal of Materials Research, Vol. 19, pp. 2498~2502   DOI   ScienceOn
18 Lee, J. H., Lee, H. and Kim, D. H., 2008, 'A Numerical Approach to Elastic Modulus Evaluation Using Conical Indenter with Finite Tip Radius,' Journal of Materials Research, Vol. 23, No.1, pp. 2528~2537   DOI   ScienceOn
19 Pharr, G. M., Oliver, W. C. and Brotzen, F. R., 1992, 'On the Generality of the Relationship among Contact Stiffness, Contact Area and Elastic Modulus during Indentation,' Journal of Material Research, Vol. 7, pp. 613~617   DOI
20 Rice, J. R. and Rosengren, G. F., 1968, 'Plane Strain Deformation Near a Crack-tip in a Power Law Hardening Material,' Journal of the Mechanics and Physics of Solids, Vol. 16, pp. 1~12   DOI   ScienceOn
21 Hyun, H. C., Lee, J. H. and Lee, H., 2008, 'Mathematical Expressions for Stress-strain Curve of Metallic Material,' Transactions of KSME, Vol. 32, No. 1, pp. 21~28   과학기술학회마을   DOI   ScienceOn
22 Chollacoop, N., Dao, M. and Suresh, S., 2003, 'Depth-sensing Instrumented Indentation with Dual Sharp Indenters,' Acta Materialia, Vol. 51, pp. 3713~ 3729   DOI   ScienceOn
23 Bucaille, J. L., Stauss, S., Felder, E. and Michler, J., 2003, 'Determination of Plastic Properties of Metals by Instrumented Indentation Using Different Sharp Indenters,' Acta Materialia, Vol. 51, pp. 1663~1678   DOI   ScienceOn
24 ABAQUS User's Manual, 2005, Version 6.5, Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI