A simple way to use X-ray micro-tomography to infer elastic properties of heterogeneous materials: application to sedimentary rocks

Valdenaire, Pierre-Louis; Perrin, Jonathan; Grauby, Olivier; Ulm, Franz‐Josef; Pellenq, Roland J.‐M.

doi:10.1007/s10853-019-04241-w

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Porous and Granular Materials1

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2021

2024

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Cited by 3 publications

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References 24 publications

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“…FFT-based methods are particularly effective for analyzing digital volume images of rocks [275][276][277], sedimentary rocks [278] and shales [279]. In this context, the mechanical compression of the digital images is indispensable for simulating the ambient conditions several kilometers below earth's surface [280].…”

Section: Porous and Granular Materialsmentioning

confidence: 99%

A review of nonlinear FFT-based computational homogenization methods

Schneider

2021

Acta Mech

129

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Since their inception, computational homogenization methods based on the fast Fourier transform (FFT) have grown in popularity, establishing themselves as a powerful tool applicable to complex, digitized microstructures. At the same time, the understanding of the underlying principles has grown, in terms of both discretization schemes and solution methods, leading to improvements of the original approach and extending the applications. This article provides a condensed overview of results scattered throughout the literature and guides the reader to the current state of the art in nonlinear computational homogenization methods using the fast Fourier transform.

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