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Chapitre D'ouvrage Année : 2012

Multi Scale Random Sets: From Morphology to Effective Behaviour

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Dominique Jeulin

Résumé

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.

Dates et versions

hal-00834450 , version 1 (15-06-2013)

Identifiants

Citer

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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