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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/24774

Title: A Fourier-series-based virtual fields method for the identification of 3-D stiffness distributions and its application to incompressible materials
Authors: Nguyen, Truong Tho
Huntley, Jonathan M.
Ashcroft, Ian A.
Ruiz, Pablo D.
Pierron, Fabrice
Keywords: Stiffness identification
Virtual fields method
Fourier series
Unspecified boundary conditions
Incompressible materials
Issue Date: 2017
Publisher: © Wiley
Citation: NGUYEN, T.T. ...et al., 2017. A Fourier-series-based virtual fields method for the identification of 3-D stiffness distributions and its application to incompressible materials. Strain, In Press.
Abstract: We present an inverse method to identify the spatially-varying stiffness distributions in three-dimensions (3-D). The method is an extension of the classical Virtual Fields Method (VFM) – a numerical technique which exploits information from full-field deformation measurements to deduce unknown material properties – in the spatial frequency domain, which we name the Fourier-series-based Virtual Fields Method (F-VFM). Three-dimensional stiffness distributions, parameterised by a Fourier series expansion, are recovered after a single matrix inversion. A numerically efficient version of the technique is developed, based on the Fast Fourier Transform. The proposed F-VFM is also adapted to deal with the challenging situation of limited or even non-existent knowledge of boundary conditions. The 3-D F-VFM is validated with both numerical and experimental data. The latter came from a phase contrast MRI experiment containing material with Poisson’s ratio close to 0.5; such a case requires a slightly different interpretation of the F-VFM equations, to enable the application of the technique to incompressible materials.
Description: This paper is in closed access until 29th May 2018.
Version: Accepted for publication
DOI: 10.1111/str.12229
URI: https://dspace.lboro.ac.uk/2134/24774
Publisher Link: https://doi.org//10.1111/str.12229
ISSN: 0039-2103
Appears in Collections:Closed Access (Mechanical, Electrical and Manufacturing Engineering)

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