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Philosophical Magazine Volume 86, 2006 - Issue 33-35: Instrumented Nanoindentation, Guest Editors: Nigel Jennett, George Pharr and Carl McHargue
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Original Articles

An experimental evaluation of the constant β relating the contact stiffness to the contact area in nanoindentation

J H. Strader The University of Tennessee, Department of Materials Science & Engineering, Knoxville, TN 37996-2200, USACorrespondence[email protected]
,
S. Shim The University of Tennessee, Department of Materials Science & Engineering, Knoxville, TN 37996-2200, USA; Oak Ridge National Laboratory, Metals and Ceramics Division, Oak Ridge, TN 37831, USA
,
H. Bei The University of Tennessee, Department of Materials Science & Engineering, Knoxville, TN 37996-2200, USA; Oak Ridge National Laboratory, Metals and Ceramics Division, Oak Ridge, TN 37831, USA
,
W. C. Oliver MTS Systems Corp, Nano Instruments Innovation Center, Oak Ridge, TN 37830, USA
&
G. M. Pharr The University of Tennessee, Department of Materials Science & Engineering, Knoxville, TN 37996-2200, USA; Oak Ridge National Laboratory, Metals and Ceramics Division, Oak Ridge, TN 37831, USA
Pages 5285-5298 | Received 27 Oct 2005, Accepted 05 Jan 2006, Published online: 21 Nov 2006

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Vitor Vieira Rielli, Felix Theska, Yin Yao, James P. Best & Sophie Primig. (2022) Local composition and nanoindentation response of δ-phase and adjacent γ′′-free zone in a Ni-based superalloy. Materials Research Letters 10:5, pages 301-309.
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Joseph E. Jakes & Douglas Stauffer. (2021) Contact area correction for surface tilt in pyramidal nanoindentation. Journal of Materials Research 36:11, pages 2189-2197.
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M. Karam-Abian, A. Zarei-Hanzaki, A.H. Shafieizad, A. Zinsaz-Borujerdi & S. Ghodrat. (2021) Predicting Flow Curves of Q&P Steel Using Sharp Pyramidal Nanoindentation on Constituent Phases: Isostrain Method. Advanced Materials Research 1160, pages 83-91.
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Joseph E. Jakes. (2017) Improved methods for nanoindentation Berkovich probe calibrations using fused silica. Journal of Materials Science 53:7, pages 4814-4827.
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Dong-Hyun Lee, Jung-A Lee, Yakai Zhao, Zhaoping Lu, Jin-Yoo Suh, Ju-Young Kim, Upadrasta Ramamurty, Megumi Kawasaki, Terence G. Langdon & Jae-il Jang. (2017) Annealing effect on plastic flow in nanocrystalline CoCrFeMnNi high-entropy alloy: A nanomechanical analysis. Acta Materialia 140, pages 443-451.
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Kaushal K. Jha, Nakin Suksawang, Debrupa Lahiri & Arvind Agarwal. (2014) A novel energy-based method to evaluate indentation modulus and hardness of cementitious materials from nanoindentation load–displacement data. Materials and Structures 48:9, pages 2915-2927.
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Dong-Hyun Lee, In-Chul Choi, Moo-Young Seok, Yakai Zhao, Jung-A Lee & Jae-il Jang. (2015) Strain-Dependent Plasticity Evolution of Window Glass. Journal of the American Ceramic Society 98:1, pages 186-189.
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Dong-Hyun Lee, Jung-A Lee, Moo-Young Seok, Un Bong Baek, Seung Hoon Nahm & Jae-il Jang. (2014) Stress-dependent hardening-to-softening transition of hydrogen effects in nanoindentation of a linepipe steel. International Journal of Hydrogen Energy 39:4, pages 1897-1902.
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In-Chul Choi, Yong-Jae Kim, Y. Morris Wang, Upadrasta Ramamurty & Jae-il Jang. (2013) Nanoindentation behavior of nanotwinned Cu: Influence of indenter angle on hardness, strain rate sensitivity and activation volume. Acta Materialia 61:19, pages 7313-7323.
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M. Cabibbo & P. Ricci. (2012) True Hardness Evaluation of Bulk Metallic Materials in the Presence of Pile Up: Analytical and Enhanced Lobes Method Approaches. Metallurgical and Materials Transactions A 44:1, pages 531-543.
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Juan Manuel Meza, Fazilay Abbes, Jaime Alexis Garcia Guzman & Michel Troyon. (2012) A response to—“Comment on the evaluation of the constant β relating the contact stiffness to the contact area in nanoindentation for sphero-conical indenters:” Comment to paper “Penetration depth and tip radius dependence on the correction factor in nanoindentation measurements” by J.M. Meza et al. [ J. Mater. Res. 23(3), 725 (2008)] . Journal of Materials Research 27:8, pages 1208-1210.
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Karsten Durst, Hamad ur Rehman & Benoit Merle. (2012) Comment to paper “Penetration depth and tip radius dependence on the correction factor in nanoindentation measurements” by J.M. Meza et al. [ J. Mater. Res . 23(3), 725 (2008)] . Journal of Materials Research 27:8, pages 1205-1207.
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Joseph E. Jakes, Rod S. Lakes & Don S. Stone. (2011) Broadband nanoindentation of glassy polymers: Part I. Viscoelasticity. Journal of Materials Research 27:2, pages 463-474.
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Quinn P. McAllister, John W. GillespieJr.Jr. & Mark R. VanLandingham. (2011) Nonlinear indentation of fibers. Journal of Materials Research 27:1, pages 197-213.
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Jae-il Jang, Byung-Gil Yoo, Yong-Jae Kim, Jun-Hak Oh, In-Chul Choi & Hongbin Bei. (2011) Indentation size effect in bulk metallic glass. Scripta Materialia 64:8, pages 753-756.
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Hussein M. Zbib & David F. Bahr. 2011. Computational Methods for Microstructure-Property Relationships. Computational Methods for Microstructure-Property Relationships 555 590 .
Frederic Sansoz & Travis Gang. (2010) A force-matching method for quantitative hardness measurements by atomic force microscopy with diamond-tipped sapphire cantilevers. Ultramicroscopy 111:1, pages 11-19.
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Giovanni Bolelli, Benedetta Bonferroni, Heli Koivuluoto, Luca Lusvarghi & Petri Vuoristo. (2010) Depth-sensing indentation for assessing the mechanical properties of cold-sprayed Ta. Surface and Coatings Technology 205:7, pages 2209-2217.
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Don S. Stone, Joseph E. Jakes, Jonathan Puthoff & Abdelmageed A. Elmustafa. (2011) Analysis of indentation creep. Journal of Materials Research 25:4, pages 611-621.
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J. Fornell, S. Suriñach, M.D. Baró & J. Sort. (2009) Unconventional elastic properties, deformation behavior and fracture characteristics of newly developed rare earth bulk metallic glasses. Intermetallics 17:12, pages 1090-1097.
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J. Sort, J. Fornell, W. Li, S. Suriñach & M.D. Baró. (2011) Influence of the loading rate on the indentation response of Ti-based metallic glass. Journal of Materials Research 24:3, pages 918-925.
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G.M. Pharr, J.H. Strader & W.C. Oliver. (2011) Critical issues in making small-depth mechanical property measurements by nanoindentation with continuous stiffness measurement. Journal of Materials Research 24:3, pages 653-666.
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Woei-Shyan Lee, Te-Yu Liu & Tao-Hsing Chen. (2009) Nanoindentation Behaviour and Microstructural Evolution of Au/Cr/Si Thin Films. MATERIALS TRANSACTIONS 50:7, pages 1768-1777.
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Marcel Lucas, Ken Gall & Elisa Riedo. (2008) Tip size effects on atomic force microscopy nanoindentation of a gold single crystal. Journal of Applied Physics 104:11.
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T Chudoba & N M Jennett. (2008) Higher accuracy analysis of instrumented indentation data obtained with pointed indenters. Journal of Physics D: Applied Physics 41:21, pages 215407.
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David F. Bahr & Dylan J. Morris. 2008. Springer Handbook of Experimental Solid Mechanics. Springer Handbook of Experimental Solid Mechanics 389 408 .
Woei-Shyan Lee & Te-Yu Liu. (2007) The effect of annealing temperature on the microstructure of nanoindented Au/Cr/Si thin films. Nanotechnology 18:33, pages 335701.
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William M. Mook & W. W. Gerberich. (2011) Effect of Hydrostatic Pressure on Indentation Modulus. MRS Proceedings 1049.
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