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Multi Scale Random Sets: From Morphology to Effective Behaviour

  • Dominique Jeulin
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)

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.

Keywords

Representative Volume Element Percolation Threshold Effective Property Random Medium Poisson Point Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Centre de Morphologie MathématiqueMathématiques et SystèmesFontainebleauFrance

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