Measurement of fracture toughness by nanoindentation methods: Recent advances and future challenges

Sebastiani, Marco; Johanns, K. E.; Herbert, Erik G.; Pharr, George M.

doi:10.1016/j.cossms.2015.04.003

Title: Measurement of fracture toughness by nanoindentation methods: Recent advances and future challenges

Journal Article · Thu Apr 30 00:00:00 EDT 2015 · Current Opinion in Solid State and Materials Science

DOI:https://doi.org/10.1016/j.cossms.2015.04.003· OSTI ID:1242666

Sebastiani, Marco ^[1]; Johanns, K. E. ^[2]; Herbert, Erik G. ^[3]; Pharr, George M. ^[4]

Roma Tre Univ., (Italy)
Technische Univ. Darmstadt, Darmstadt (Germany)
Univ. of Tennessee, Knoxville, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

In this study, we describe recent advances and developments for the measurement of fracture toughness at small scales by the use of nanoindentation-based methods including techniques based on micro-cantilever beam bending and micro-pillar splitting. A critical comparison of the techniques is made by testing a selected group of bulk and thin film materials. For pillar splitting, cohesive zone finite element simulations are used to validate a simple relationship between the critical load at failure, the pillar radius, and the fracture toughness for a range of material properties and coating/substrate combinations. The minimum pillar diameter required for nucleation and growth of a crack during indentation is also estimated. An analysis of pillar splitting for a film on a dissimilar substrate material shows that the critical load for splitting is relatively insensitive to the substrate compliance for a large range of material properties. Experimental results from a selected group of materials show good agreement between single cantilever and pillar splitting methods, while a discrepancy of ~25% is found between the pillar splitting technique and double-cantilever testing. It is concluded that both the micro-cantilever and pillar splitting techniques are valuable methods for micro-scale assessment of fracture toughness of brittle ceramics, provided the underlying assumptions can be validated. Although the pillar splitting method has some advantages because of the simplicity of sample preparation and testing, it is not applicable to most metals because their higher toughness prevents splitting, and in this case, micro-cantilever bend testing is preferred.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1242666

Alternate ID(s):: OSTI ID: 1251249

Journal Information:: Current Opinion in Solid State and Materials Science, Vol. 19, Issue 6; ISSN 1359-0286

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 146 works

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References (46)

An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments Oliver, W. C.; Pharr, G. M. Journal of Materials Research, Vol. 7, Issue 06, p. 1564-1583 https://doi.org/10.1557/JMR.1992.1564	journal	June 1992
Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology Oliver, W. C.; Pharr, G. M. Journal of Materials Research, Vol. 19, Issue 1 https://doi.org/10.1557/jmr.2004.19.1.3	journal	January 2004
Measuring the constitutive behavior of viscoelastic solids in the time and frequency domain using flat punch nanoindentation Herbert, E. G.; Oliver, W. C.; Lumsdaine, A. Journal of Materials Research, Vol. 24, Issue 3 https://doi.org/10.1557/jmr.2009.0089	journal	March 2009
Nanoindentation strain-rate jump tests for determining the local strain-rate sensitivity in nanocrystalline Ni and ultrafine-grained Al Maier, Verena; Durst, Karsten; Mueller, Johannes Journal of Materials Research, Vol. 26, Issue 11 https://doi.org/10.1557/jmr.2011.156	journal	June 2011
On the measurement of yield strength by spherical indentation Herbert, E. G.; Oliver, W. C.; Pharr, G. M. Philosophical Magazine, Vol. 86, Issue 33-35 https://doi.org/10.1080/14786430600825103	journal	November 2006
Residual stress measurement at the micrometer scale: focused ion beam (FIB) milling and nanoindentation testing Sebastiani, M.; Bemporad, E.; Carassiti, F. Philosophical Magazine, Vol. 91, Issue 7-9 https://doi.org/10.1080/14786431003800883	journal	March 2011
Fracture toughness, adhesion and mechanical properties of low-K dielectric thin films measured by nanoindentation Volinsky, Alex A.; Vella, Joseph B.; Gerberich, William W. Thin Solid Films, Vol. 429, Issue 1-2 https://doi.org/10.1016/S0040-6090(03)00406-1	journal	April 2003
Indentation fracture: principles and applications Lawn, Brian; Wilshaw, Rodney Journal of Materials Science, Vol. 10, Issue 6 https://doi.org/10.1007/BF00823224	journal	June 1975
Fracture Toughness Determinations by Indentation Evans, A. G.; Charles, E. A. Journal of the American Ceramic Society, Vol. 59, Issue 7-8 https://doi.org/10.1111/j.1151-2916.1976.tb10991.x	journal	July 1976
Residual stress effects in sharp contact cracking: Part 1 Indentation fracture mechanics Marshall, D. B.; Lawn, B. R. Journal of Materials Science, Vol. 14, Issue 8 https://doi.org/10.1007/BF00551043	journal	August 1979
Elastic/Plastic Indentation Damage in Ceramics: The Median/Radial Crack System Lawn, B. R.; Evans, A. G.; Marshall, D. B. Journal of the American Ceramic Society, Vol. 63, Issue 9-10 https://doi.org/10.1111/j.1151-2916.1980.tb10768.x	journal	September 1980
A Critical Evaluation of Indentation Techniques for Measuring Fracture Toughness: I, Direct Crack Measurements Anstis, G. R.; Chantikul, P.; Lawn, B. R. Journal of the American Ceramic Society, Vol. 64, Issue 9 https://doi.org/10.1111/j.1151-2916.1981.tb10320.x	journal	September 1981
New formula for indentation toughness in ceramics Laugier, M. T. Journal of Materials Science Letters, Vol. 6, Issue 3 https://doi.org/10.1007/BF01729352	journal	March 1987
Direct Observation and Analysis of Indentation Cracking in Glasses and Ceramics Cook, Robert F.; Pharr, George M. Journal of the American Ceramic Society, Vol. 73, Issue 4 https://doi.org/10.1111/j.1151-2916.1990.tb05119.x	journal	April 1990
Determination of fracture toughness of bulk materials and thin films by nanoindentation: comparison of different models Schiffmann, Kirsten Ingolf Philosophical Magazine, Vol. 91, Issue 7-9 https://doi.org/10.1080/14786435.2010.487984	journal	March 2011
Cohesive interface simulations of indentation cracking as a fracture toughness measurement method for brittle materials Lee, J. H.; Gao, Y. F.; Johanns, K. E. Acta Materialia, Vol. 60, Issue 15 https://doi.org/10.1016/j.actamat.2012.07.011	journal	September 2012
An evaluation of the advantages and limitations in simulating indentation cracking with cohesive zone finite elements Johanns, K. E.; Lee, J. H.; Gao, Y. F. Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue 1 https://doi.org/10.1088/0965-0393/22/1/015011	journal	December 2013
Measuring fracture toughness of coatings using focused-ion-beam-machined microbeams Di Maio, D.; Roberts, S. G. Journal of Materials Research, Vol. 20, Issue 2 https://doi.org/10.1557/JMR.2005.0048	journal	February 2005
Crack stability in edge-notched clamped beam specimens: modeling and experiments Jaya, B. Nagamani; Jayaram, Vikram International Journal of Fracture, Vol. 188, Issue 2 https://doi.org/10.1007/s10704-014-9956-2	journal	July 2014
A novel approach for determining fracture toughness of hard coatings on the micrometer scale Riedl, A.; Daniel, R.; Stefenelli, M. Scripta Materialia, Vol. 67, Issue 7-8 https://doi.org/10.1016/j.scriptamat.2012.06.034	journal	October 2012
A combined experimental-numerical approach for elasto-plastic fracture of individual grain boundaries Kupka, D.; Huber, N.; Lilleodden, E. T. Journal of the Mechanics and Physics of Solids, Vol. 64 https://doi.org/10.1016/j.jmps.2013.12.004	journal	March 2014
Determination of the interfacial strength and fracture toughness of a-C:H coatings by in-situ microcantilever bending Schaufler, J.; Schmid, C.; Durst, K. Thin Solid Films, Vol. 522 https://doi.org/10.1016/j.tsf.2012.08.031	journal	November 2012
Measuring the fracture resistance of hard coatings Liu, S.; Wheeler, J. M.; Howie, P. R. Applied Physics Letters, Vol. 102, Issue 17 https://doi.org/10.1063/1.4803928	journal	April 2013
A new methodology to investigate fracture toughness of freestanding MEMS and advanced materials in thin film form Espinosa, H. D.; Peng, Bei Journal of Microelectromechanical Systems, Vol. 14, Issue 1, p. 153-159 https://doi.org/10.1109/JMEMS.2004.839013	journal	February 2005
Fracture toughness of silicon nitride thin films of different thicknesses as measured by bulge tests Merle, B.; Göken, M. Acta Materialia, Vol. 59, Issue 4 https://doi.org/10.1016/j.actamat.2010.11.043	journal	February 2011
Can microscale fracture tests provide reliable fracture toughness values? A case study in silicon Jaya, Balila Nagamani; Kirchlechner, Christoph; Dehm, Gerhard Journal of Materials Research, Vol. 30, Issue 5 https://doi.org/10.1557/jmr.2015.2	journal	February 2015
Finite element analysis of vickers indentation cracking processes in brittle solids using elements exhibiting cohesive post-failure behaviour Muchtar, A.; Lim, L. C.; Lee, K. H. Journal of Materials Science, Vol. 38, Issue 2, p. 235-243 https://doi.org/10.1023/A:1021192911257	journal	January 2003
An elastic–plastic-cracking model for finite element analysis of indentation cracking in brittle materials Zhang, W.; Subhash, G. International Journal of Solids and Structures, Vol. 38, Issue 34-35 https://doi.org/10.1016/S0020-7683(00)00406-6	journal	August 2001
On the practical application of the cohesive model Cornec, Alfred; Scheider, Ingo; Schwalbe, Karl-Heinz Engineering Fracture Mechanics, Vol. 70, Issue 14 https://doi.org/10.1016/S0013-7944(03)00134-6	journal	September 2003
A plastic damage model for finite element analysis of cracking of silicon under indentation Wan, Haibo; Shen, Yao; Chen, Qiulong Journal of Materials Research, Vol. 25, Issue 11 https://doi.org/10.1557/jmr.2010.0270	journal	November 2010
A simple technique for avoiding convergence problems in finite element simulations of crack nucleation and growth on cohesive interfaces Gao, Y. F.; Bower, A. F. Modelling and Simulation in Materials Science and Engineering, Vol. 12, Issue 3 https://doi.org/10.1088/0965-0393/12/3/007	journal	March 2004
Residual stress evaluation at the micrometer scale: Analysis of thin coatings by FIB milling and digital image correlation Korsunsky, Alexander M.; Sebastiani, Marco; Bemporad, Edoardo Surface and Coatings Technology, Vol. 205, Issue 7 https://doi.org/10.1016/j.surfcoat.2010.09.033	journal	December 2010
Depth-resolved residual stress analysis of thin coatings by a new FIB–DIC method Sebastiani, Marco; Eberl, Christoph; Bemporad, Edoardo Materials Science and Engineering: A, Vol. 528, Issue 27 https://doi.org/10.1016/j.msea.2011.07.001	journal	October 2011
A new method for estimating residual stresses by instrumented sharp indentation Suresh, S.; Giannakopoulos, A. E. Acta Materialia, Vol. 46, Issue 16 https://doi.org/10.1016/S1359-6454(98)00226-2	journal	October 1998
Stress intensity factors for an elliptical crack approaching the surface of a semi-infinite solid Shah, R. C.; Kobayashi, A. S. International Journal of Fracture, Vol. 9, Issue 2 https://doi.org/10.1007/BF00041855	journal	June 1973
Analysis of Vickers indentation Giannakopoulos, A. E.; Larsson, P. -L.; Vestergaard, R. International Journal of Solids and Structures, Vol. 31, Issue 19 https://doi.org/10.1016/0020-7683(94)90225-9	journal	October 1994
Analysis of Berkovich indentation Larsson, P. -L.; Giannakopoulos, A. E.; SÖderlund, E. International Journal of Solids and Structures, Vol. 33, Issue 2 https://doi.org/10.1016/0020-7683(95)00033-7	journal	January 1996
Effects of the substrate on the determination of thin film mechanical properties by nanoindentation Saha, Ranjana; Nix, William D. Acta Materialia, Vol. 50, Issue 1 https://doi.org/10.1016/S1359-6454(01)00328-7	journal	January 2002
A model for crack initiation in elastic/plastic indentation fields Lawn, B. R.; Evans, A. G. Journal of Materials Science, Vol. 12, Issue 11 https://doi.org/10.1007/BF00552240	journal	November 1977
Micromechanics of crack nucleation during indentations Hagan, J. T. Journal of Materials Science, Vol. 14, Issue 12 https://doi.org/10.1007/BF00611482	journal	December 1979
Fracture toughness of PMMA as measured with indentation cracks Choi, S. R.; Salem, J. A. Journal of Materials Research, Vol. 8, Issue 12 https://doi.org/10.1557/JMR.1993.3210	journal	December 1993
The Fracture Toughness of Polysilicon Microdevices: A First Report Ballarini, R.; Mullen, R. L.; Yin, Y. Journal of Materials Research, Vol. 12, Issue 4 https://doi.org/10.1557/JMR.1997.0131	journal	April 1997
Influences of residual stresses on the serrated flow in bulk metallic glass under elastostatic four-point bending – A nanoindentation and atomic force microscopy study Haag, Fabian; Beitelschmidt, Denise; Eckert, Jürgen Acta Materialia, Vol. 70 https://doi.org/10.1016/j.actamat.2014.01.053	journal	May 2014
Interface fracture properties of thin films studied by using the micro-cantilever deflection technique Matoy, Kurt; Detzel, Thomas; Müller, Matthias Surface and Coatings Technology, Vol. 204, Issue 6-7 https://doi.org/10.1016/j.surfcoat.2009.09.013	journal	December 2009
A comparative micro-cantilever study of the mechanical behavior of silicon based passivation films Matoy, Kurt; Schönherr, Helmut; Detzel, Thomas Thin Solid Films, Vol. 518, Issue 1 https://doi.org/10.1016/j.tsf.2009.07.143	journal	November 2009
Characterisation and wear properties of industrially produced nanoscaled CrN/NbN multilayer coating Bemporad, E.; Pecchio, C.; De Rossi, S. Surface and Coatings Technology, Vol. 188-189 https://doi.org/10.1016/j.surfcoat.2004.08.069	journal	November 2004

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