Abstract
Cao and Huber [J. Mater. Res., 21, 1810 (2006)] proposed parameter-dependent representative strains, which have the potential to measure plastic properties from one conical indentation test. However, the potential performance of such a technique was not systematically analyzed. In this commentary, through a comprehensive numerical investigation, it is found that the two basic variables in Cao and Huber’s formulation are not completely independent, and it is difficult to obtain the two independent (sufficiently separated) representative stress–strain points needed for determining the plastic properties. Consequently, systematic errors (which could well exceed 100%) are generated for a wide range of materials, and the results are quite sensitive to small perturbations. As a complementary and critical examination of the original article, this commentary suggests that it is unreliable to use the representative strains proposed by Cao and Huber [J. Mater. Res., 21, 1810 (2006)] to measure the material plastic properties from one indentation.
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References
G. Dieter: Mechanical Metallurgy (McGraw-Hill, New York, 1976).
Y.T. Cheng and C.M. Cheng: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng. R44, 91 (2004).
M. Dao, N. Chollacoop, K.J. VanVliet, T.A. Venkatesh, and S. Suresh: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).
N. Ogasawara, N. Chiba, and X. Chen: Representative strain of indentation analysis. J. Mater. Res. 20, 2225 (2005).
N. Ogasawara, N. Chiba, and X. Chen: Limit analysis-based approach to determine the material plastic properties with conical indentation. J. Mater. Res. 21, 947 (2006).
N. Chollacoop, M. Dao, and S. Suresh: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).
Y.P. Cao and J. Lu: A new method to extract the plastic properties of metal materials from an instrumented spherical indentation loading curve. Acta Mater. 52, 4023 (2004).
J.L. Bucaille, S. Stauss, E. Felder, and J. Michler: Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 51, 1663 (2003).
L. Wang, M. Ganor, and S.I. Rokhlin: Inverse scaling function in nanoindentation with sharp indenters: Determination of material properties. J. Mater. Res. 20, 987 (2005).
N. Ogasawara, N. Chiba, and X. Chen: Measuring the plastic properties of bulk materials by one microindentation test. Scripta Mater. 54, 65 (2006).
Y. Cao and N. Huber: Further investigation on the definition of the representative strain in conical indentation. J. Mater. Res. 21, 1810 (2006).
R. Schwaiger, B. Moser, M. Dao, N. Chollacoop, and S. Suresh: Some critical experiments on the strain-rate sensitivity of nanocrystalline nickel. Acta Mater. 51, 5159 (2003).
J. Alkorta, J.M. Martinez-Esnaola, and J.G. Sevillano: Comments on “Comment on the determination of mechanical properties from the energy dissipated during indentation” by J. Malzbender. J. Mater. Res. 21, 302 (2006).
Y.P. Cao, X.Q. Qian, and J. Lu: On the determination of reduced Young’s modulus and hardness of elastoplastic materials using a single sharp indenter. J. Mater. Res. 21, 215 (2006).
J. Alkorta, J.M. Martinez-Esnaola, and J.G. Sevillano: Absence of one-to-one correspondence between elastoplastic properties and sharp-indentation load-penetration data. J. Mater. Res. 20, 432 (2005).
M.F. Ashby: Materials Selection in Mechanical Design, 2nd ed. (Elsevier, Amsterdam, The Netherlands, 1999).
X. Chen and J.W. Hutchinson: Particle impact on metal substrates with application to foreign object damage to aircraft engines. J. Mech. Phys. Solids 50, 2669 (2002).
ANSYS ANSYS Release 8.0 Documentation (ANSYS Inc., Canonsburg, PA, 2003).
ABAQUS ABAQUS 6.4 User’s Manual (ABAQUS Inc., Pawtucket, RI, 2004).
T.S. Chow: Stress-strain behavior of polymers in tension, compression and shear. J. Rheol. 36, 1707 (1992).
N. Ogasawara, N. Chiba, and X. Chen: Erratum: “Representative strain of indentation analysis” [J. Mater. Res. 20, 2225 2005] and “Limit Analysis-Based Approach to Determine the Material Plastic Properties with Conical Indentation.” J. Mater. Res. 21, 947 (2006).
X. Chen, N. Ogasawara, M. Zhao, and N. Chiba: On the uniqueness of measuring elastoplastic properties from indentation: The undistinguishable mystical materials. J. Mech. Phys. Solids (2007, in press).
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Ogasawara, N., Chiba, N., Zhao, M. et al. Comments on “Further investigation on the definition of the representative strain in conical indentation” by Y. Cao and N. Huber [J. Mater. Res. 21, 1810 (2006)]: A systematic study on applying the representative strains to extract plastic properties through one conical indentation test. Journal of Materials Research 22, 858–868 (2007). https://doi.org/10.1557/jmr.2007.0129
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DOI: https://doi.org/10.1557/jmr.2007.0129