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|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.
|Keywords: ||Stiffness identification|
Virtual fields method
Unspecified boundary conditions
|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, 53 (5), e12229.|
|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|
|Publisher Link: ||https://doi.org//10.1111/str.12229|
|Appears in Collections:||Closed Access (Mechanical, Electrical and Manufacturing Engineering)|
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