- Cited by 44
Ni, Wangyang Cheng, Yang-Tse Lukitsch, Michael J. Weiner, Anita M. Lev, Lenoid C. and Grummon, David S. 2004. Effects of the ratio of hardness to Young’s modulus on the friction and wear behavior of bilayer coatings. Applied Physics Letters, Vol. 85, Issue. 18, p. 4028.
Ma, Dejun Ong, Chung Wo and Wong, Sing Fai 2004. New relationship between Young's modulus and nonideally sharp indentation parameters. Journal of Materials Research, Vol. 19, Issue. 07, p. 2144.
Malzbender, Jürgen 2004. Energy dissipated during spherical indentation. Journal of Materials Research, Vol. 19, Issue. 06, p. 1605.
Ni, Wangyang Cheng, Yang-Tse and Grummon, David S. 2004. Tribological Applications of Shape Memory and Superelastic Effects. MRS Proceedings, Vol. 843, Issue. ,
Cheng, Yang-Tse and Cheng, Che-Min 2004. Scaling, dimensional analysis, and indentation measurements. Materials Science and Engineering: R: Reports, Vol. 44, Issue. 4-5, p. 91.
Cheng, Yang-Tse and Cheng, Che-Min 2004. Modeling indentation in linear viscoelastic solids. MRS Proceedings, Vol. 841, Issue. ,
Cheng, Yang-Tse and Cheng, Che-Min 2005. Relationships between initial unloading slope, contact depth, and mechanical properties for conical indentation in linear viscoelastic solids. Journal of Materials Research, Vol. 20, Issue. 04, p. 1046.
Ni, Wangyang Cheng, Yang-Tse Lukitsch, Michael Weiner, Anita M. Lev, Lenoid C. and Grummon, David S. 2005. Novel layered tribological coatings using a superelastic NiTi interlayer. Wear, Vol. 259, Issue. 7-12, p. 842.
Cheng, Yang-Tse and Cheng, Che-Min 2005. Relationships between initial unloading slope, contact depth, and mechanical properties for spherical indentation in linear viscoelastic solids. Materials Science and Engineering: A, Vol. 409, Issue. 1-2, p. 93.
Bao, Yiwang Liu, Lizhong and Zhou, Yanchun 2005. Assessing the elastic parameters and energy-dissipation capacity of solid materials: A residual indent may tell all. Acta Materialia, Vol. 53, Issue. 18, p. 4857.
Cheng, Yang-Tse Ni, Wangyang and Cheng, Che-Min 2005. Determining the Instantaneous Modulus of Viscoelastic Solids Using Instrumented Indentation Measurements. Journal of Materials Research, Vol. 20, Issue. 11, p. 3061.
Malzbender, Jürgen 2005. Comment on the determination of mechanical properties from the energy dissipated during indentation. Journal of Materials Research, Vol. 20, Issue. 05, p. 1090.
Cheng, Yang-Tse Cheng, Che-Min and Ni, Wangyang 2006. Methods of obtaining instantaneous modulus of viscoelastic solids using displacement-controlled instrumented indentation with axisymmetric indenters of arbitrary smooth profiles. Materials Science and Engineering: A, Vol. 423, Issue. 1-2, p. 2.
Cheng, Yang-Tse and Cheng, Che-Min 2006. Relationship between contact stiffness, contact depth, and mechanical properties for indentation in linear viscoelastic solids using axisymmetric indenters. Structural Control and Health Monitoring, Vol. 13, Issue. 1, p. 561.
Lu, Yuebin Charles Kurapati, Siva N. V. R. K. and Yang, Fuqian 2008. Finite element analysis of deep indentation by a spherical indenter. Journal of Materials Science, Vol. 43, Issue. 18, p. 6331.
Zhang, Shuyan Jiang, Fusong and Ding, Wenbin 2008. Microstructure and mechanical performance of pulsed current gas tungsten arc surface engineered composite coatings on Mg alloy reinforced by SiCp. Materials Science and Engineering: A, Vol. 490, Issue. 1-2, p. 208.
Ma, Dejun Ong, Chung Wo and Zhang, Taihua 2008. An improved energy method for determining Young’s modulus by instrumented indentation using a Berkovich tip. Journal of Materials Research, Vol. 23, Issue. 08, p. 2106.
Ma, D. Ong, C. W. and Zhang, T. 2009. An Instrumented Indentation Method for Young’s Modulus Measurement with Accuracy Estimation. Experimental Mechanics, Vol. 49, Issue. 5, p. 719.
Stanzl-Tschegg, Stefanie Beikircher, Wilfried and Loidl, Dieter 2009. Comparison of mechanical properties of thermally modified wood at growth ring and cell wall level by means of instrumented indentation tests. Holzforschung, Vol. 63, Issue. 4,
Jiang, Peng Zhang, Taihua Feng, Yihui Yang, Rong and Liang, Naigang 2009. Determination of plastic properties by instrumented spherical indentation: Expanding cavity model and similarity solution approach. Journal of Materials Research, Vol. 24, Issue. 03, p. 1045.
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Using dimensional analysis and finite element calculation, we studied spherical indentation in elastic–plastic solids with work hardening. We report two previously unknown relationships between hardness, reduced modulus, indentation depth, indenter radius, and work of indentation. These relationships, together with the relationship between initial unloading stiffness and reduced modulus, provide an energy-based method for determining contact area, reduced modulus, and hardness of materials from instrumented spherical indentation measurements. This method also provides a means for calibrating the effective radius of imperfectly shaped spherical indenters. Finally, the method is applied to the analysis of instrumented spherical indentation experiments on copper, aluminum, tungsten, and fused silica.
Hide All1.E10-01 Standard Test Method for BRINELL Hardness of Metallic Materials (ASTM International, West Conshohocken, 2003).2.Tabor, D., The Hardness of Metals (Oxford University Press, London, U.K., 1951); Philosophical Magazine A 74 1207 (1996).3.Mott, B.W., Micro-indentation Hardness Testing (Butterworths, London, U.K., 1956).4.Fischer-Cripps, A.C., Nanoindentation (Springer-Verlag, New York, 2002).5.Oliver, W.C. and Pharr, G.M., J. Mater. Res. 7 1564 (1992).6.Field, J.S. and Swain, M.V., J. Mater. Res. 8, 297 1993; J. Mater. Res. 10 101 (1995).7.Haggag, F.M. and Lucas, G.E., Metall. Trans. 14A, 1607 (1983).8.Taljat, B., Zacharia, T. and Haggaga, F.M., J. Mater. Res. 12, 965 (1997).9.Huber, N. and Tsakmakis, C., J. Mech. Phys. Solids 47, 1569 , 1589 (1999).10.Alcalá, J., Giannakopoulos, A.E., and Suresh, S., J. Mater. Res. 13, 1390 (1998).11.Kucharski, S. and Mróz, Z., J. Eng. Mater. Technol. 123 235 (2001).12.Herbert, G., Pharr, G.M., Oliver, W.C., Lucas, B.N. and Hay, J.L., Thin Solid Films 398–399 331 (2001).13.Norbury, A.L. and Samuel, T., J. Iron Steel Inst. 117 673 (1928).14.Chaudhri, M.M. and Winter, M., J. Phys. D.: Appl. Phys. 21 370 (1988).15.Cheng, Y-T. and Cheng, C-M., Philos. Mag. Lett. 78 115 (1998).16.Bolshakov, A. and Pharr, G.M., J. Mater. Res. 13 1049 (1998).17.Cheng, Y-T. and Cheng, C-M., J. Appl. Phys. 84 1284 (1998).18.Cheng, Y-T., Li, Z. and Cheng, C-M., Philos. Mag. 82 1821 (2002).19.Barenblatt, G.I., Scaling, Self-similarity, and Intermediate Asymptotics (Cambridge University Press, Cambridge, 1996).20.Ni, W., Cheng, Y-T., Cheng, C-M. and Grummon, D.S., GM Research Publication R&D-9522 (April 23, 2003).21.Cheng, Y-T. and Cheng, C-M., J. Mater. Res. 14 3493 1999.22.Cheng, Y-T. and Cheng, C-M., Appl. Phys. Lett. 73 614 (1998).23.Giannakopoulos, A.E. and Suresh, S., Scr. Mater. 40 1191 (1999).24.Cheng, C-M. and Cheng, Y-T., Appl. Phys. Lett. 71 2623 (1997).25.Gschneidner, K.A., Solid State Physics 16 275 (1964).26.Simmons, G. and Wang, H., Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook, 2nd ed. (The M.I.T. Press, Cambridge, MA, 1971).27. General Electric Fused Quartz Products Technical Data, general catalog number 7705-7725 (April 1985).28.Hay, J.C., Bolshakov, A. and Pharr, G.M., J. Mater. Res. 14 2296 (1999).29.Poole, W.J., Ashby, M.F. and Fleck, N.A., Scr. Mater. 34 559 (1996).30.McElhaney, K.W., Vlassak, J.J. and Nix, W.D., J. Mater. Res. 13 1300 (1998).31.Gerberich, W.W., Tymiak, N.I., Grunlan, J.C., Horstemeryer, M.F. and Baskes, M.I., ASME J. Appl. Mech. 69 433 (2002).32.Nix, W.D. and Gao, H., J. Mech. Phys. Solids 46 411 (1998).33.Swadener, J.G., George, E.P. and Pharr, G.M., J. Mech. Phys. Solids 50 681 (2002).
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- ISSN: 0884-2914
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