IJNME-V12-P916(2014).pdf (1.99 MB)
A Fourier-series-based virtual fields method for the identification of 2-D stiffness distributions
journal contribution
posted on 2015-02-20, 14:30 authored by Tho Nguyen, Jonathan Huntley, Ian A. Ashcroft, Pablo RuizPablo Ruiz, Fabrice PierronThe 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 present in this paper 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 two-dimensional Fast Fourier Transform (FFT) is presented, which reduces the computation time by three to four orders of magnitude compared with a direct implementation of the F-VFM for typical experimental dataset sizes. Artefacts specific to the F-VFM (ring- ing at the highest spatial frequency near to modulus discontinuities) can be largely removed through the use of appropriate filtering strategies. Reconstruction of stiffness distributions with the F-VFM has been vali- dated on three stiffness distribution scenarios under varying levels of noise in the input displacement fields. Robust reconstructions are achieved even when the displacement noise is higher than in typical experimental fields
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
International Journal for Numerical Methods in EngineeringVolume
98Issue
12Pages
917 - 936Citation
NGUYEN, T.T. ... et al, 2014. A Fourier-series-based virtual fields method for the identification of 2-D stiffness distributions. International Journal for Numerical Methods in Engineering, 98 (12), pp.917-936.Publisher
© John Wiley & Sons, Ltd.Version
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2014-02-21Publication date
2014-04-29Notes
This is the peer reviewed version of the article, which has been published in final form at http://dx.doi.org/10.1002/nme.4665. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.ISSN
0029-5981eISSN
1097-0207Publisher version
Language
- en