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Case Study I: Standard and Funny Isotropic Discs

  • Fabrice Pierron
  • Michel Grédiac
Chapter

Abstract

In this chapter, the very simple case of a disc in compression will introduce the reader to the practical implementation of the Virtual Fields Method, and the effect of noise. Linear elastic isotropy is considered to make things as simple as possible. In order to make this example more interesting, one of the discs has a “funny” shape, i.e., it has some cutouts that make it look like a smiling face, whereas the other is a simple circular disc. The reader has to implement very simple virtual fields on exact simulated data, evaluate the influence of noise, and finally process some experimental data.

Keywords

Digital Image Correlation Virtual Work Strain Data Brazilian Test Virtual Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 77.
    Surrel Y (1994) Moiré and grid methods: a signal-processing approach. In: Pryputniewicz RJ, Stupnicki J (eds) Interferometry ’94: Photomechanics, vol 2342, pp 213–220 Proc Soc Photo-Opt Instrum EngGoogle Scholar
  2. 78.
    Moulart R, Rotinat R, Pierron F, Lerondel G (2007) On the realization of microscopic grids for local strain measurement by direct interferometric photolithography. Opt Lasers Eng 45(12):1131–1147CrossRefGoogle Scholar
  3. 79.
    Piro J-L, Grédiac M (2004) Producing and transferring low-spatial-frequency grids for measuring displacement fields with moiré and grid methods. Exp Tech 28(4):23–26CrossRefGoogle Scholar
  4. 180.
    Golub GH, Van Loan CF (1973) Matrix computations. Johns Hopkins University Press, Baltimore, MDGoogle Scholar
  5. 181.
    The MathWorks Inc. Reference Guide, 1994Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Fabrice Pierron
    • 1
  • Michel Grédiac
    • 2
  1. 1.Ecole Nationale Superieure d’Arts et Métiers (ENSAM)Châlons en ChampagneFrance
  2. 2.Institut PascalUniversité Clermont-Ferrand II and CNRSAubière CedexFrance

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