Hussein, MS, Kinash, N, Lesnic, D et al. (1 more author) (2017) Retrieving the time-dependent thermal conductivity of an orthotropic rectangular conductor. Applicable Analysis, 96 (15). pp. 2604-2618. ISSN 0003-6811
Abstract
The aim of this paper is to determine the thermal properties of an orthotropic planar structure characterised by the thermal conductivity tensor in the coordinate system of the main directions (Oxy) being diagonal. In particular, we consider retrieving the timedependent thermal conductivity components of the an orthotropic rectangular conductor from nonlocal overspecified heat flux conditions. Since only boundary measurements are considered, this inverse formulation belongs to the desirable approach of non-destructive testing of materials. The unique solvability of this inverse coefficient problem is proved based on the Schauder fixed point theorem and the theory of Volterra integral equations of the second kind. Furthermore, the numerical reconstruction based on a nonlinear least-squares minimization is performed using the MATLAB optimization toolbox routine lsqnonlin. Numerical results are presented and discussed in order to illustrate the performance of the inversion for orthotropic parameter identification.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Informa UK Limited, trading as Taylor & Francis Group. This is an Accepted Manuscript of an article published by Taylor & Francis in Applicable Analysis on 21st September 2016, available online: http://www.tandfonline.com/10.1080/00036811.2016.1232401. |
Keywords: | Orthotropic heat conductor; heat equation; inverse problem; thermal conductivity; regularization |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Sep 2016 11:02 |
Last Modified: | 03 Jan 2018 15:27 |
Published Version: | https://doi.org/10.1080/00036811.2016.1232401 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/00036811.2016.1232401 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:104370 |