Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-29T05:36:17.313Z Has data issue: false hasContentIssue false
  • English
  • Français

Determination of plastic material properties by analysis of residual imprint geometry of indentation

Published online by Cambridge University Press:  06 August 2012

Benjamin Schmaling  and
Alexander Hartmaier
Benjamin Schmaling*
Affiliation:
Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universitaet Bochum, 44801 Bochum, Germany
Alexander Hartmaier
Affiliation:
Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universitaet Bochum, 44801 Bochum, Germany
*
a)Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

A method is presented for the identification of plastic material properties, i.e., yield strength and work hardening rate, using the residual imprint geometry formed by a spheroconical indentation. A corresponding finite element simulation with the same tip geometry and maximum as applied in the indentation experiment yields a numerical imprint profile. Then, the imprint profiles resulting from simulation and experiment are compared, and the material parameters of the simulation are varied by an optimization procedure until a satisfying agreement between simulation and experiment is established. At this stage, the material parameters used for the simulation represent the true material properties. It is shown that this procedure yields unique results that are furthermore verified by independent uniaxial straining experiments. Finally, the reliability of this method with special emphasis on its sensitivity with respect to measurement errors of the imprint geometry is demonstrated. Hence, it is concluded that the residual imprint can be regarded as the fingerprint of a material that contains sufficient information on plastic material behavior to uniquely extract values for yield strength and work hardening rate.

Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 16 , 28 August 2012 , pp. 2167 - 2177
Copyright
Copyright © Materials Research Society 2012

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.Oliver, W. and Pharr, G.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564–1583 (1992).CrossRefGoogle Scholar
2.Suresh, S.: Depth Sensing Indentation and Methodology for Mechanical Property Measurements. U.S. Patent No. WO 97/39333, 1997.Google Scholar
3.Giannakopoulos, A.E. and Suresh, S.: Method and Apparatus for Determination of Mechanical Properties of Functionally-Graded Materials. U.S. Patent No. 5,999,887, 1999.Google Scholar
4.Venkatesh, T., Vliet, K.V., Giannakopoulos, A., and Suresh, S.: Determination of elasto-plastic properties by instrumented sharp indentation: Guidelines for property extraction. Scr. Mater. 42, 833–839 (2000).CrossRefGoogle Scholar
5.Dao, M., Chollacoop, N., Vliet, K.J.V., Venkatesh, T.A., and Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899–3918, (2001).CrossRefGoogle Scholar
6.Cao, Y.P. and Lu, J.: A new method to extract the plastic properties of metal materials from an instrumented spherical indentation loading curve. Acta Mater. 52, 4023–4032 (2004).CrossRefGoogle Scholar
7.Cheng, Y-T. and Cheng, C-M.: Can stress–strain relationships be obtained from indentation curves using conical and pyramidal indenters? J. Mater. Res. 14, 3493–3496 (1999).CrossRefGoogle Scholar
8.Zhi-Hui, X. and Rowcliffe, D.: Method to determine the plastic properties of bulk materials by nanoindentation. Philos. Mag. A, 1893–1901: Taylor & Francis, Conference Paper, Journal Paper, Second International Indentation Workshop, 15–20 July 2001, Cambridge, UK.Google Scholar
9.Alkorta, J., Martinez-Esnaola, J., and Sevillano, J.G.: Absence of one-to-one correspondence between elastoplastic properties and sharp-indentation load–penetration data. J. Mater. Res. 20, 432–437 (2005).CrossRefGoogle Scholar
10.Capehart, W. and Cheng, Y-T.: Determining constitutive models from conical indentation: Sensitivity analysis. J. Mater. Res. 18(4), 6 (2003).CrossRefGoogle Scholar
11.Chollacoop, N., Dao, M., and Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713–3729 (2003).CrossRefGoogle Scholar
12.Wang, L., Ganor, M., and Rokhlin, S.: Inverse scaling functions in nanoindentation with sharp indenters: Determination of material properties. J. Mater. Res. 20, 987–1001 (2005).CrossRefGoogle Scholar
13.Chen, X., Ogasawara, N., Zhao, M., and Chiba, N.: On the uniqueness of measuring elastoplastic properties from indentation: The indistinguishable mystical materials. J. Mech. Phys. Solids 55, 1618–1660 (2007).CrossRefGoogle Scholar
14.Valeriy, G., Frederick, G., and Hamed, L.: Process for Determining Viscous, Elastic, Plastic, and Adhesive (Vepa) Properties of Materials Using AFM-Based or Conventional Nano-Indentation. The Patent Cooperation Treaty—Patent WO 2009/009595 A2, 2009.Google Scholar
15.Marco, B., Leonardo, B., and Vigilio, F.: Method for Detecting Mechanical Features of a Material and Apparatus that Carries Out This Method. The Patent Cooperation Treaty—Patent WO 2006/013450 A2, 2006.Google Scholar
16.Field, J.S. and Swain, M.V.: Determining the mechanical properties of small volumes of material from submicrometer spherical indentations. J. Mater. Res. 10, 101–112 (1995).CrossRefGoogle Scholar
17.Lan, H. and Venkatesh, T.A.: On the uniqueness and sensitivity issues in determining the elastic and plastic properties of power-law hardening materials through sharp and spherical indentation. Philos. Mag. 87, 4671–4729 (2007).CrossRefGoogle Scholar
18.Matsuda, K.: Prediction of stress-strain curves of elastic-plastic materials based on the Vickers indentation. Philos. Mag. A 82(10), 1941–1951 (2002).CrossRefGoogle Scholar
19.Taljat, B., Zacharia, T., and Kosel, F.: New analytical procedure to determine stress-strain curve from spherical indentation data. Int. J. Solids Struct. 35(33), 4411–4426 (1998).CrossRefGoogle Scholar
20.Bolzon, G., Maier, G., and Panico, M.: Material model calibration by indentation, imprint mapping and inverse analysis. Int. J. Solids Struct. 41, 2957–2975 (2004).CrossRefGoogle Scholar
21.Polzer, G. and Meißner, F.: Fundamentals of Friction and Wear (VEB Deutscher Verlag für Grundstoffindustrie, Leipzig, Germany, 1982).Google Scholar
22.Yurkov, A., Skvortsov, V., Buyanovsky, I., and Matvievsky, R.: Sliding friction of diamond on steel, sapphire, alumina and fused silica with and without lubricants. J. Mater. Sci. Lett. 16, 1370–1374 (1997).CrossRefGoogle Scholar
23.Bolzon, G., Bocciarelli, M., and Chiarullo, E.J.: Mechanical characterization of materials by micro-indentation and AFM scanning. Mech. Charact. Mater. 8, 1–108 (2008).Google Scholar
24.Nelder, J. and Mead, R.: A simplex method for function minimization. Comput. J. 7, 308–313 (1965).CrossRefGoogle Scholar
25.Jones, E., Oliphant, T., and Peterson, P.: (2001–) SciPy: Open source scientific tools for Python. (Online) Available:www.scipy.org.Google Scholar
26.MATLAB: Version 7.11.0 (R2010b) (The MathWorks Inc., Natick, MA, 2010).Google Scholar
27.Begau, C.: Metamodel-based optimization of the welding line in extrusion simulations. Fakultaet für Informatik, Algorithm Engineering (LS 11), Technical University Dortmund, Tech. Rep., 2008.Google Scholar
28.Jones, D.R., Schonlau, M., and Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Global Optim. 13, 455–492 (1998).CrossRefGoogle Scholar
29.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), 887–891 (2004).CrossRefGoogle Scholar