Estimation of the strain field from full-field displacement noisy data

Comparing finite elements global least squares and polynomial diffuse approximation

Authors

  • Stéphane Avril Laboratoire de Mécanique et Procédés de Fabrication Ecole Nationale Supérieure d’Arts et Métiers BP 508 rue Saint Dominique F-51006 Châlons en Champagne
  • Pierre Feissel Laboratoire Roberval de Mécanique, UTC BP 20529 rue Personne de Roberval F-60205 Compiègne
  • Fabrice Pierron Laboratoire de Mécanique et Procédés de Fabrication Ecole Nationale Supérieure d’Arts et Métiers BP 508 rue Saint Dominique F-51006 Châlons en Champagne
  • Pierre Villon Laboratoire Roberval de Mécanique, UTC BP 20529 rue Personne de Roberval F-60205 Compiègne

DOI:

https://doi.org/10.13052/REMN.17.857-868

Keywords:

full-field measurements, numerical differentiation, measurement uncertainty

Abstract

In this study, the issue of reconstructing strain fields from corrupted full-field displacement data is addressed. Two approaches are proposed, a global one based on Finite Element Approximation (FEA) and a local one based on Diffuse Approximation (DA). Both approaches are compared on a case study which is supposed difficult (open-hole tensile test). DA provides more stable results, but is more CPU time consuming. Eventually, it is proposed to monitor locally the filtering effect of both approaches, the prospects being an impending improvement of the reconstruction for both approaches.

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Published

2008-06-20

How to Cite

Avril, S. ., Feissel, P., Pierron, F., & Villon, P. . (2008). Estimation of the strain field from full-field displacement noisy data: Comparing finite elements global least squares and polynomial diffuse approximation. European Journal of Computational Mechanics, 17(5-7), 857 to 868. https://doi.org/10.13052/REMN.17.857-868

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Original Article