A simple way to use X-ray micro-tomography to infer elastic properties of heterogeneous materials: application to sedimentary rocks
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10853_2019_4241_ReferencePDF.pdf
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Author(s)
Valdenaire, Pierre-Louis
Perrin, Jonathan
Grauby, Olivier
Ulm, Franz-Josef
Pellenq, Roland J. M.
Date Issued
December 2019
Journal
Journal of Materials Science
Publisher
Springer Science and Business Media LLC
Version
Author's final manuscript
Abstract
Abstract
Macroscopic mechanical properties of materials depend directly on their microstructure. Microscopy, and more specifically tomography, is a key method for studying microstructures. Here, we propose a simple way to use an X-ray tomogram to infer local elastic properties. We distinguish between two scenarios of microstructure images. In the first scenario, the material is composed by very apparent phases so the image can be easily segmented into a set of subspaces with homogenous properties. In the second scenario, the image, as that of sedimentary rocks, contains poorly contrasted phases, including strong intra-phase heterogeneities. For this case, we propose an alternative to segmentation techniques in order to factor in material heterogeneities. To do this, we use the local X-ray attenuation to define elastic moduli. Then, we compute up-scaled elastic moduli by solving the mechanical equilibrium. Finally, we confirm our method by comparing the up-scaled elastic moduli to indentation experiments performed at the same scale.
MIT Department
MultiScale Materials Science for Energy and Environment, Joint MIT-CNRS Laboratory
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s10853-019-04241-w
