Determination of mechanical properties by nanoindentation in the case of viscous materials
-
Pierre-Emmanuel Mazeran
, Moez Beyaoui , Maxence Bigerelle and Michèle Guigon
Abstract
A mechanical model based on a generalized Kelvin–Voigt model has been developed to explain and fit the nanoindentation curves realized on three amorphous polymers (PC, PMMA and PS). This model includes the responses of quadratic elastic (spring), viscoelastic (two Kelvin–Voigt elements), plastic (slider) and viscoplastic components (dashpot). It is able to fit nanoindentation curves during loading, unloading and hold time periods. With the values of the model parameters and the value of the contact area calculated with the Oliver and Pharr method, it is possible to calculate the values of the mechanical properties of the polymers. A good agreement is found between these values and those obtained with conventional methods.
References
[1] W.C.Oliver, G.M.Pharr: J. Mater. Res.19 (2004) 3. 10.1557/jmr.2004.19.1.3Search in Google Scholar
[2] A.C.Fischer-Cripps: Nanoindentation, SpringerNew-York (2002).10.1007/978-0-387-22462-6Search in Google Scholar
[3] M.F.Doener, W.D.Nix: J. Mater. Res.1 (1986) 601. 10.1557/JMR.1986.0601Search in Google Scholar
[4] J.L.Loubet, J.M.Georges, O.Marchesini, G.Meille: J. Tribology106 (1984) 43. 10.1115/1.3260865Search in Google Scholar
[5] W.C.Oliver, G.M.Pharr: J. Mater. Res.7 (1992) 1564. 10.1557/JMR.1992.1564Search in Google Scholar
[6] G.Hochstetter, A.Jimenez, J.L.Loubet: Macromol. Sci. Phys.38 (1999) 681. 10.1080/00222349908248131Search in Google Scholar
[7] T.Chudoba, F.Richter: Surf. Coat. Technol.148 (2001) 191. 10.1016/S0257-8972(01)01340-8Search in Google Scholar
[8] M.L.Oyen, R.F.Cook: J. Mater. Res.18 (2003) 139. 10.1557/JMR.2003.0020Search in Google Scholar
[9] B.Tang, A.H.W.Ngan: J. Mater. Res.18 (2003) 1141. 10.1557/JMR.2003.0156Search in Google Scholar
[10] S.Yang, Y.W.Zhang, K.Zeng: J. Appl. Phys95 (2004) 3655. 10.1063/1.1651341Search in Google Scholar
[11] A.H.W.Ngan, H.T.Wang, B.Tang, K.Y.Sze: Int. J. Solids Structures42 (2005) 1831. 10.1016/j.ijsolstr.2004.07.018Search in Google Scholar
[12] Y.T.Cheng, C.M.Cheng: Mat. Sci. Eng. A409 (2005) 93. 10.1016/j.msea.2005.05.118Search in Google Scholar
[13] Y.Y.Cheng, C.M.Cheng, W.Ni: Mat. Sci. Eng. A423 (2006) 2. 10.1016/j.msea.2005.09.134Search in Google Scholar
[14] K.I.Schiffmann: Int. J. Mat. Res.97 (2006) 9.10.3139/146.101357Search in Google Scholar
[15] M.Vanleene, P.E.Mazeran, M.C.Ho Ba Tho: J. Mat. Res.21 (2006) 2093. 10.1557/jmr.2006.0255Search in Google Scholar
[16] C.K.Liu, S.Lee, L.P.Sung, T.Nguyen: J. Appl. Phys.100 (2006) 033503-1–9.10.1063/1.2220649Search in Google Scholar
[17] R.F.Cook, M.L.Oyen: Int. J. Mat. Res.98 (2007) 5.Search in Google Scholar
[18] S.N.Dub, M.L.Trunov: J. Phys. D: Appl. Phys.41 (2008) 070424. 10.1088/0022-3727/41/7/074024Search in Google Scholar
[19] M.Beyaoui, P.E.Mazeran, M.F.Arvieu, M.Bigerelle, M.Guigon: Int. J. Mat. Res.100 (2009) 7.Search in Google Scholar
[20] N.Bruselle-Dupend, D.Lai, X.Feaugas, M.Guigon, M.Clavel: Polym. Eng. Sci.43 (2003) 501. 10.1002/pen.10041Search in Google Scholar
[21] I.Yakimets, D.Lai, M.Guigon: Mech. Time-Depend. Mater.11 (2007) 47. 10.1007/s11043-007-9031-8Search in Google Scholar
[22] E.Riande, R.Diaz-Calleja, M.G.Prolongo, R.M.Masegosa, C.Salom: Polymer Viscoelasticity, Marcel Dekker, New York (2000).Search in Google Scholar
[23] B.N.Lucas, W.C.Oliver, G.M.Pharr, J.L.Loubet: Mater. Res. Soc. Symp. Proc.436 (1997) 233.Search in Google Scholar
[24] I.N.Sneddon: Int. J. Eng. Sci.3 (1965) 47. 10.1016/0020-7225(65)90019-4Search in Google Scholar
[25] J.D.Ferry: Viscoelastic Properties of Polymers, 3rd editionWiley, New York (1980).Search in Google Scholar
[26] I.M.Low: Mat. Res. Bul.33 (1998) 1753. 10.1016/S0025-5408(98)00179-2Search in Google Scholar
[27] C.A.Tweedie, K.V.Vliet: J. Mat. Res.21 (2006) 3029. 10.1557/jmr.2006.0377Search in Google Scholar
[28] G.M.Pharr, A.Bolshakov: J. Mater. Res.17 (2002) 2660. 10.1557/JMR.2002.0386Search in Google Scholar
[29] F.Bédoui, M.Guigon: Polymer51 (2010) 5229. 10.1016/j.polymer.2010.08.058Search in Google Scholar
© 2012, Carl Hanser Verlag, München
Articles in the same Issue
- Contents
- Contents
- Original Contributions
- Diffusion characteristics in the Cu–Ti system
- Hydrogen permeability with dislocation in low carbon, aluminium-killed, enamel-grade steels
- Numerical simulation of the evolution of primary and secondary Nb(CN), Ti(CN) and AlN in Nb-microalloyed steel during continuous casting
- Microstructure evolution in a 2618 aluminium alloy during creep-fatigue tests
- Microstructure characterization in the weld joint of a high nickel austenitic alloy and Cr18-Ni8 stainless steel
- The reoptimization of the binary Se–Te system
- Phase diagram of the Sm–Dy–Fe ternary system
- Thermophysical properties of solid phase Ti-6Al-4V alloy over a wide temperature range
- Determination of mechanical properties by nanoindentation in the case of viscous materials
- Mechanical properties and biodegradable behavior of Mg–6%Zn–Ca3(PO4)2 metal matrix composites in Ringer's solution
- Effect of Ti addition on the wettability of Al–B4C metal matrix composites
- Effect of pH on structure, morphology and optical properties of nanosized cupric oxide prepared by a simple hydrolysis method
- Metal-oxide-modified nanostructured carbon application as novel adsorbents for chromate ion removal from water
- Biological evaluation of micro-nanoporous layer on Ti–Ag alloy for dental implant
- Design of damage tolerance in high-strength steels
- Creep modeling and creep life estimation of Gr.91
- Influence of the layer architecture of DLC coatings on their wear and corrosion resistance
- Potential of mechanical surface treatment for mould and die production
- Short Communications
- Discussion of defect analysis of a Ti-6Al-4V alloy forging ring
- DGM News
- DGM News
Articles in the same Issue
- Contents
- Contents
- Original Contributions
- Diffusion characteristics in the Cu–Ti system
- Hydrogen permeability with dislocation in low carbon, aluminium-killed, enamel-grade steels
- Numerical simulation of the evolution of primary and secondary Nb(CN), Ti(CN) and AlN in Nb-microalloyed steel during continuous casting
- Microstructure evolution in a 2618 aluminium alloy during creep-fatigue tests
- Microstructure characterization in the weld joint of a high nickel austenitic alloy and Cr18-Ni8 stainless steel
- The reoptimization of the binary Se–Te system
- Phase diagram of the Sm–Dy–Fe ternary system
- Thermophysical properties of solid phase Ti-6Al-4V alloy over a wide temperature range
- Determination of mechanical properties by nanoindentation in the case of viscous materials
- Mechanical properties and biodegradable behavior of Mg–6%Zn–Ca3(PO4)2 metal matrix composites in Ringer's solution
- Effect of Ti addition on the wettability of Al–B4C metal matrix composites
- Effect of pH on structure, morphology and optical properties of nanosized cupric oxide prepared by a simple hydrolysis method
- Metal-oxide-modified nanostructured carbon application as novel adsorbents for chromate ion removal from water
- Biological evaluation of micro-nanoporous layer on Ti–Ag alloy for dental implant
- Design of damage tolerance in high-strength steels
- Creep modeling and creep life estimation of Gr.91
- Influence of the layer architecture of DLC coatings on their wear and corrosion resistance
- Potential of mechanical surface treatment for mould and die production
- Short Communications
- Discussion of defect analysis of a Ti-6Al-4V alloy forging ring
- DGM News
- DGM News