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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Lionheart, William R. B.
University of Manchester
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (7/7 displayed)
- 2024Direct inversion of the Longitudinal Ray Transform for 2D residual elastic strain fieldscitations
- 2019Laminography in the Lab: Imaging planar objects using a conventional x-ray CT scannercitations
- 2007Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decompositioncitations
- 2006Electromagnetic visualisation of steel flow in continuous casting nozzlescitations
- 2006A three-dimensional inverse finite-element method applied to experimental eddy-current imaging datacitations
- 2005Nonlinear image reconstruction for electrical capacitance tomography using experimental datacitations
- 2003Development of a sensor for visualization of steel flow in the continuous casting nozzlecitations
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article
Direct inversion of the Longitudinal Ray Transform for 2D residual elastic strain fields
Abstract
We examine the problem of Bragg-edge elastic strain tomography from energy resolved neutron transmission imaging. A new approach is developed for two-dimensional plane-stress and plane-strain systems whereby elastic strain can be reconstructed from its Longitudinal Ray Transform (LRT) as two parts of a Helmholtz decomposition based on the concept of an Airy stress potential. The solenoidal component of this decomposition is reconstructed using an inversion formula based on a tensor filtered back projection algorithm whereas the potential part can be recovered using either Hooke’s law or a finite element model of the elastic system. The technique is demonstrated for two-dimensional plane-stress systems in both simulation, and on real experimental data. We also demonstrate that application of the standard scalar filtered back projection algorithm to the LRT in these systems recovers the trace of the solenoidal component of strain and we provide physical meaning for this quantity in the case of 2D plane-stress and plane-strain systems.<br/>