Skip to main content
Top

2019 | OriginalPaper | Chapter

4. Spherical Indentation on a Prestressed Elastic Coating/Substrate System

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

While there have been many studies on the indentation test of thin film/substrate systems, the primary goal has been determining the film properties. However, there was very little effort to probe the properties of both the film and the substrate (the latter may be as important as the film properties). Moreover, a prestress usually exists in the film, typically resulted from mismatched deformation or material properties. In this study, we establish a spherical indentation framework to examine the material properties of both the film and substrate as well as determining the film prestress. An indentation test is performed at two prescribed depths, and functional forms are established between indentation parameters and material variables. An effective reverse analysis algorithm is established to deduce the desired material properties. The potential error sensitivity is also examined in a systematic way. The study on prestressed film/substrate systems has many potential applications in engineering.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference J.L. Bucaille, S. Stauss, E. Felder, J. Michler, Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 51, 1663–1678 (2003)CrossRef J.L. Bucaille, S. Stauss, E. Felder, J. Michler, Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 51, 1663–1678 (2003)CrossRef
go back to reference X. Chen, J.J. Vlassak, Numerical study on the measurement of thin film mechanical properties by means of nanoindentation. J. Mater. Res. 16, 2974–2982 (2001)CrossRef X. Chen, J.J. Vlassak, Numerical study on the measurement of thin film mechanical properties by means of nanoindentation. J. Mater. Res. 16, 2974–2982 (2001)CrossRef
go back to reference X. Chen, Y. Xiang, J.J. Vlassak, A novel technique to measure mechanical properties of porous materials by nanoindentation. J. Mater. Res. 21(3), 715–724 (2006)CrossRef X. Chen, Y. Xiang, J.J. Vlassak, A novel technique to measure mechanical properties of porous materials by nanoindentation. J. Mater. Res. 21(3), 715–724 (2006)CrossRef
go back to reference X. Chen, N. Ogasawara, M. Zhao, N. Chiba, On the uniqueness of measuring Elastoplastic properties from indentation: the indistinguishable mystical materials. J. Mech. Phys. Solids 55, 1618–1660 (2007)CrossRef X. Chen, N. Ogasawara, M. Zhao, N. Chiba, On the uniqueness of measuring Elastoplastic properties from indentation: the indistinguishable mystical materials. J. Mech. Phys. Solids 55, 1618–1660 (2007)CrossRef
go back to reference Y.T. Cheng, C.M. Cheng, Analysis of indentation loading curves obtained using conical indenters. Philos. Mag. Lett. 77(1), 39–47 (1998)CrossRef Y.T. Cheng, C.M. Cheng, Analysis of indentation loading curves obtained using conical indenters. Philos. Mag. Lett. 77(1), 39–47 (1998)CrossRef
go back to reference Y.T. Cheng, C.M. Cheng, Scaling, dimensional analysis, and indentation measurements. Mat. Sci. Eng. R44, 91–149 (2004)CrossRef Y.T. Cheng, C.M. Cheng, Scaling, dimensional analysis, and indentation measurements. Mat. Sci. Eng. R44, 91–149 (2004)CrossRef
go back to reference Dassault Systèmes (SIMULIA), ABAQUS 6.8 Documentation (Dassault Systèmes (Simulia) Corporation, Providence, 2008) Dassault Systèmes (SIMULIA), ABAQUS 6.8 Documentation (Dassault Systèmes (Simulia) Corporation, Providence, 2008)
go back to reference F. Doerner, W.D. Nix, A method for interpreting the data from depth-sensing indentation instruments. J. Mat. Res. 1(4), 601–609 (1986)CrossRef F. Doerner, W.D. Nix, A method for interpreting the data from depth-sensing indentation instruments. J. Mat. Res. 1(4), 601–609 (1986)CrossRef
go back to reference A.G. Evans, J.W. Hutchinson, On the mechanics of delamination and spalling in compressed films. Int. J. Solids Struct. 20(5), 455–466 (1984)CrossRef A.G. Evans, J.W. Hutchinson, On the mechanics of delamination and spalling in compressed films. Int. J. Solids Struct. 20(5), 455–466 (1984)CrossRef
go back to reference H. Gao, C. Cheng-Hsin, L. Jin, Elastic contact versus indentation modeling of multi-layered materials. Int. J. Solids Struct. 29, 2471–2492 (1992)CrossRef H. Gao, C. Cheng-Hsin, L. Jin, Elastic contact versus indentation modeling of multi-layered materials. Int. J. Solids Struct. 29, 2471–2492 (1992)CrossRef
go back to reference A. Gouldstone, N. Chollacoop, M. Dao, J. Li, A.M. Minor, Y.L. Shen, Indentation across size scales and disciplines: recent developments in experimentation and modeling. Acta Mater. 55, 4015–4039 (2007)CrossRef A. Gouldstone, N. Chollacoop, M. Dao, J. Li, A.M. Minor, Y.L. Shen, Indentation across size scales and disciplines: recent developments in experimentation and modeling. Acta Mater. 55, 4015–4039 (2007)CrossRef
go back to reference X.Z. Hu, B.R. Lawn, A simple indentation stress-strain relation for contacts with spheres on bilayer structures. Thin Solid Films 322(1–2), 225–232 (1998)CrossRef X.Z. Hu, B.R. Lawn, A simple indentation stress-strain relation for contacts with spheres on bilayer structures. Thin Solid Films 322(1–2), 225–232 (1998)CrossRef
go back to reference M.S. Hu, M.D. Thouless, A.G. Evans, The decohesion of thin films from brittle substrates. Acta Metall. 36(5), 1301–1307 (1988)CrossRef M.S. Hu, M.D. Thouless, A.G. Evans, The decohesion of thin films from brittle substrates. Acta Metall. 36(5), 1301–1307 (1988)CrossRef
go back to reference J.A. Mills, X. Chen, Spherical indentation on an elastic coating/substrate system: determining substrate modulus. J. Eng. Mech. 135(10), 1189–1197 (2009)CrossRef J.A. Mills, X. Chen, Spherical indentation on an elastic coating/substrate system: determining substrate modulus. J. Eng. Mech. 135(10), 1189–1197 (2009)CrossRef
go back to reference G.M. Pharr, Measurement of mechanical properties by ultra-low load indentation. Mat. Sci. Eng. A 253, 151–159 (1998)CrossRef G.M. Pharr, Measurement of mechanical properties by ultra-low load indentation. Mat. Sci. Eng. A 253, 151–159 (1998)CrossRef
go back to reference R. Saha, W.D. Nix, Effects of the substrate on the determination of thin film mechanical properties by nanoindentation. Acta Mater. 50, 23–38 (2002)CrossRef R. Saha, W.D. Nix, Effects of the substrate on the determination of thin film mechanical properties by nanoindentation. Acta Mater. 50, 23–38 (2002)CrossRef
go back to reference R. Saha, Z. Xue, Y. Huang, W.D. Nix, Indentation of a soft metal on a hard substrate: Strain gradient hardening effects. J. Mech. Phys. Solids 49, 1997–2014 (2001)CrossRef R. Saha, Z. Xue, Y. Huang, W.D. Nix, Indentation of a soft metal on a hard substrate: Strain gradient hardening effects. J. Mech. Phys. Solids 49, 1997–2014 (2001)CrossRef
go back to reference S. Suresh, A.E. Giannakopoulos, A new method for estimating residual stresses by instrumented sharp indentation. Acta Metall. 46(16), 5755–5767 (1998) S. Suresh, A.E. Giannakopoulos, A new method for estimating residual stresses by instrumented sharp indentation. Acta Metall. 46(16), 5755–5767 (1998)
go back to reference J.G. Swadener, E.P. George, G.M. Pharr, The correlation of the indentation size effect measured with indenters of various shapes. J. Mech. Phys. Solids 50, 681–694 (2002)CrossRef J.G. Swadener, E.P. George, G.M. Pharr, The correlation of the indentation size effect measured with indenters of various shapes. J. Mech. Phys. Solids 50, 681–694 (2002)CrossRef
go back to reference T.Y. Tsui, J.J. Vlassak, W.D. Nix, Indentation plastic displacement field: part I: the case of soft films on hard substrates. J. Mat. Res. 14, 2196–2203 (1999)CrossRef T.Y. Tsui, J.J. Vlassak, W.D. Nix, Indentation plastic displacement field: part I: the case of soft films on hard substrates. J. Mat. Res. 14, 2196–2203 (1999)CrossRef
go back to reference M. Zhao, X. Chen, N. Ogasawara, A.C. Razvan, N. Chiba, D. Lee, Y.X. Gan, A new sharp indentation method of measuring the elastic-plastic properties of soft and compliant materials by using the substrate effect. J. Mat. Res. 21, 3134–3151 (2006a)CrossRef M. Zhao, X. Chen, N. Ogasawara, A.C. Razvan, N. Chiba, D. Lee, Y.X. Gan, A new sharp indentation method of measuring the elastic-plastic properties of soft and compliant materials by using the substrate effect. J. Mat. Res. 21, 3134–3151 (2006a)CrossRef
go back to reference M. Zhao, N. Ogasawara, N. Chiba, X. Chen, A new approach to measure the elastic-plastic properties of bulk materials using spherical indentation. Acta Mater. 54, 23–32 (2006b)CrossRef M. Zhao, N. Ogasawara, N. Chiba, X. Chen, A new approach to measure the elastic-plastic properties of bulk materials using spherical indentation. Acta Mater. 54, 23–32 (2006b)CrossRef
go back to reference M. Zhao, X. Chen, Y. Xiang, J.J. Vlassak, D. Lee, N. Ogasawara, N. Chiba, Y.X. Gan, Measuring elastoplastic properties of thin films on an elastic substrate using sharp indentation. Acta Mater. 55, 6260–6274 (2007)CrossRef M. Zhao, X. Chen, Y. Xiang, J.J. Vlassak, D. Lee, N. Ogasawara, N. Chiba, Y.X. Gan, Measuring elastoplastic properties of thin films on an elastic substrate using sharp indentation. Acta Mater. 55, 6260–6274 (2007)CrossRef
Metadata
Title
Spherical Indentation on a Prestressed Elastic Coating/Substrate System
Authors
James A. Mills
Xi Chen
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-319-58729-5_19

Premium Partners