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Multi Scale Random Sets: From Morphology to Effective Behaviour

Abstract : Complex microstructures in materials and in biology often involve multi-scale heterogeneous textures, that we model by random sets derived from Mathematical Morphology. Our approach starts from 2D or 3D images; a complete morphological characterization is performed, and used for the identification of a model of random structure. Simulations of realistic microstructures are introduced in a numerical solver to compute appropriate fields (electric, elastic, velocity, ...) and to estimate the effective properties by numerical homogenization, accounting for scale dependent statistical fluctuations of the fields.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00834450
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Submitted on : Saturday, June 15, 2013 - 10:24:41 AM
Last modification on : Wednesday, October 14, 2020 - 3:52:22 AM

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Dominique Jeulin. Multi Scale Random Sets: From Morphology to Effective Behaviour. Michael Günther, Andreas Bartel, Markus Brunk, Sebastian Schöps, and Michael Striebel. Progress in Industrial Mathematics at ECMI 2010, Springer, pp.381-393, 2012, Mathematics in Industry, 978-3-642-25099-6. ⟨10.1007/978-3-642-25100-9_45⟩. ⟨hal-00834450⟩

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