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Quantifying plasticity-independent creep compliance and relaxation of viscoelastoplastic materials under contact loading

Published online by Cambridge University Press:  21 October 2011

Matthieu Vandamme ,
Catherine A. Tweedie ,
Georgios Constantinides ,
Franz-Josef Ulm  and
Krystyn J. Van Vliet
Matthieu Vandamme*
Affiliation:
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139; and Laboratoire Navier (École des Ponts ParisTech; Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux; Centre National de la Recherche Scientifique), Université Paris-Est, 77455 Marne-la-Vallée, France
Catherine A. Tweedie
Affiliation:
Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Georgios Constantinides
Affiliation:
Department of Mechanical Engineering and Materials Science and Engineering, Cyprus University of Technology, 3603 Lemesos, Cyprus
Franz-Josef Ulm
Affiliation:
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Krystyn J. Van Vliet*
Affiliation:
Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
*
a)Address all correspondence to these authors. e-mail: matthieu.vandamme@enpc.fr
b)e-mail: krystyn@mit.edu
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Abstract

Here we quantify the time-dependent mechanical properties of a linear viscoelastoplastic material under contact loading. For contact load relaxation, we showed that the relaxation modulus can be measured independently of concurrent plasticity exhibited during the loading phase. For indentation creep, we showed that the rate of change of the contact creep compliance can be measured independently of any plastic deformation exhibited during loading through , where a(t) is the contact radius, h(t) is the displacement of the contact probe, and Pmax is the constant applied load during the creep phase. These analytical relations were compared with numerical simulations of conical indentation creep for a viscoelastoplastic material and validated against sharp indentation creep experiments conducted on polystyrene. The derived relations enable extraction of viscoelastic material characteristics, even if sharp probes confer concurrent plasticity, applicable for a general axisymmetric contact probe geometry and a general time-independent plasticity.

Keywords

NanoindentationPolymerElastic properties
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 1: Focus Issue: Instrumented Indentation , 14 January 2012 , pp. 302 - 312
Copyright
Copyright © Materials Research Society 2011

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References

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