Journal of Mechanical Science and Technology

, Volume 33, Issue 1, pp 183–195 | Cite as

Determining the stress level of monotonic plastically pre-hardened metal sheets using the spherical instrumented indentation technique

  • Mohamad IdrissEmail author
  • Olivier Bartier
  • Gérard Mauvoisin
  • Xavier Hernot


In this paper, a methodology, for calculating the stress level of monotonic plastically pre-hardened materials, using the instrumented indentation technique (IIT) coupled to the inverse analysis technique (IAT) is presented. In this methodology, the Voce work-hardening law is always considered as the work hardening law of the studied material. This methodology has shown a very good efficiency in determining the stress levels and the plastic strains undergone by two pre-hardened pseudo-materials. That was encouraging for applying this methodology on real metal sheets. Three metal sheets were studied (DC01 and DP600 steels and aluminum alloy 2017). In the case of the as-received sheets, the identified laws show precise results for plastic strains between 3 % and 6 % which correspond approximately to the representative strain in the case of spherical indentation. Tensile samples were then pre-hardened by imposing a monotonic plastic strain. Three levels of plastic pre-strains were imposed. Concerning low pre-hardening levels, very satisfying results were obtained where this methodology showed a great efficiency in determining the stress level and the plastic pre-strain undergone by the pre-hardened sheet. For high pre-hardening levels, a small under-estimation of the stress level and the plastic pre-strain was obtained. In this latter case, work is being carried out to improve the results by enriching the experimental data provided for the inverse analysis computations.


Metal sheets Numerical simulations Plastic pre-strain Spherical instrumented indentation 


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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Mohamad Idriss
    • 1
    • 2
    Email author
  • Olivier Bartier
    • 3
  • Gérard Mauvoisin
    • 3
  • Xavier Hernot
    • 3
  1. 1.CTA-BRP-UdeSSherbrookeCanada
  2. 2.Department of Mechanical EngineeringUniversité de SherbrookeSherbrookeCanada
  3. 3.Univ Rennes 1LGCGM-EA 3913RennesFrance

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