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Fourier-series-based virtual fields method for the identification of 2-D stiffness distributions

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conference contribution
posted on 28.01.2014 by Jonathan Huntley, Ian A. Ashcroft, Pablo Ruiz, Fabrice Pierron
The Virtual Fields Method (VFM) is a powerful technique for the calculation of spatial distributions of material properties from experimentally-determined displacement fields. A Fourier-series-based extension to the VFM (the F-VFM) is presented here, in which the unknown stiffness distribution is parameterised in the spatial frequency domain rather than in the spatial domain as used in the classical VFM. We summarise here the theory of the F-VFM for the case of elastic isotropic thin structures with known boundary conditions. An efficient numerical algorithm based on the 2-D Fast Fourier Transform reduces the computation time by 3-4 orders of magnitude compared to a direct implementation of the F-VFM for typical experimental dataset sizes. Reconstruction of stiffness distributions with the FVFM has been validated on several stiffness distribution scenarios, one of which is presented here, in which a difference of about 0.5% was achieved between the reference and recovered stiffness distributions.

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School

  • Mechanical, Electrical and Manufacturing Engineering

Citation

NGUYEN, T.T. ... et al, 2013. Fourier-series-based virtual fields method for the identification of 2-D stiffness distributions. Presented at: Photomechanics 2013, 27th-29th May 2013, Montpellier, France.

Publisher

Montpellier University

Version

AM (Accepted Manuscript)

Publication date

2013

Notes

This is a conference paper.

Language

en

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