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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/21066

Title: A Fourier-series-based virtual fields method for the identification of 2-D stiffness and traction distributions
Authors: Nguyen, Truong Tho
Huntley, Jonathan M.
Ashcroft, Ian A.
Ruiz, Pablo D.
Pierron, Fabrice
Keywords: Stiffness identification
Virtual fields method
Fourier series
Unknown boundary conditions
Issue Date: 2014
Publisher: © Wiley
Citation: NGUYEN, T.T., 2014. A Fourier-series-based virtual fields method for the identification of 2-D stiffness and traction distributions. Strain, 50(5), pp. 454-468.
Abstract: The Virtual Fields Method (VFM) allows spatial distributions of material properties to be calculated from experimentally-determined strain fields. A numerically-efficient Fourier series-based extension to the VFM (the F-VFM) has recently been developed, 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. However, the boundary conditions for the FVFM are assumed to be well-defined, whereas in practice the traction distributions on the perimeter of the region of interest are rarely known to any degree of accuracy. In the current paper we therefore consider how the F-VFM theory can be extended to deal with the case of unknown boundary conditions. Three different approaches are proposed; their ability to reconstruct normalised stiffness distributions and traction distributions around the perimeter from noisy input strain fields is assessed through simulations based on a forward finite element analysis. Finally a practical example is given involving experimental strain fields from a diametral compression test on an aluminium disc.
Description: This is the peer reviewed version of the following article: NGUYEN, T.T., 2014. A Fourier-series-based virtual fields method for the identification of 2-D stiffness and traction distributions. Strain, 50(5), pp. 454-468., which has been published in final form at http://dx.doi.org/10.1111/str.12105. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving."
Version: Accepted for publication
DOI: 10.1111/str.12105
URI: https://dspace.lboro.ac.uk/2134/21066
Publisher Link: http://dx.doi.org/10.1111/str.12105
ISSN: 1475-1305
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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