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|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.
|Keywords: ||Stiffness identification|
Virtual fields method
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|
|Publisher Link: ||http://dx.doi.org/10.1111/str.12105|
|Appears in Collections:||Published Articles (Mechanical, Electrical and Manufacturing Engineering)|
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