Catching the time evolution of microstructure morphology from dynamic covariograms

Nait-Ali Azdine; Kane-diallo Ousseynou; Castagnet Sylvie

doi:10.1016/j.crme.2015.02.005

Catching the time evolution of microstructure morphology from dynamic covariograms

Nait-Ali Azdine ¹ ; Kane-diallo Ousseynou ¹; Castagnet Sylvie ¹

¹ ISAE–ENSMA, Institut Pprime, UPR CNRS 3346, département “Physique et mécanique des matériaux”, ENSMA, Téléport 2, 1, avenue Clément-Ader, BP 40109, 86961 Futuroscope Chasseneuil-du-Poitou cedex, France

Comptes Rendus. Mécanique, Volume 343 (2015) no. 4, pp. 301-306.

Abstract
Résumé

In micromechanical modelling, covariograms are often used as a statistical analysis to estimate the features or morphological Representative Elementary Volumes (REV), from representative pictures of the initial microstructure (i.e. static covariogram). The aim of this article is to present an extension of the method to the time evolution of the microstructure, through the idea of dynamic covariogram built up of successive pictures of the microstructure along time. The possible enhanced evolution of covariogram parameters is analyzed first from a general point of view. It is then illustrated on the cavitation damage occurring during decompression in rubbers exposed to diffusing gas.

En micromécanique, la construction de covariogramme est utilisée pour renseigner la notion de volume élémentaire représentatif morphologique, à partir d'images représentatives de la microstructure initiale. L'objet de cet article est de présenter une extension de cette notion à l'évolution temporelle de la microstructure au cours du temps, via la notion de covariogramme dynamique, issue d'images successives de la microstructure au cours du temps. L'évolution possible des différents paramètres du covariogramme est analysée de manière standard, puis illustrée à partir de l'endommagement par cavitation observé dans les élastomères sous décompression après exposition à un gaz diffusant.

Received: 2015-01-19
Accepted: 2015-02-25
Published online: 2015-03-14

DOI: 10.1016/j.crme.2015.02.005

Keywords: Morphological analysis, Dynamic covariogram, Random medium, Damage kinetic, Ergodic theory, Micromechanical modelling
Mots-clés : Analyse morphologique, Covariogramme dynamique, Milieu aléatoire, Cinétique d'endommagement, Théorie ergodique, Micro-mécanique

Author's affiliations:

Nait-Ali Azdine ¹; Kane-diallo Ousseynou ¹; Castagnet Sylvie ¹

¹ ISAE–ENSMA, Institut Pprime, UPR CNRS 3346, département “Physique et mécanique des matériaux”, ENSMA, Téléport 2, 1, avenue Clément-Ader, BP 40109, 86961 Futuroscope Chasseneuil-du-Poitou cedex, France

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     author = {Nait-Ali Azdine and Kane-diallo Ousseynou and Castagnet Sylvie},
     title = {Catching the time evolution of microstructure morphology from dynamic covariograms},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {301--306},
     publisher = {Elsevier},
     volume = {343},
     number = {4},
     year = {2015},
     doi = {10.1016/j.crme.2015.02.005},
     language = {en},
}

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Nait-Ali Azdine; Kane-diallo Ousseynou; Castagnet Sylvie. Catching the time evolution of microstructure morphology from dynamic covariograms. Comptes Rendus. Mécanique, Volume 343 (2015) no. 4, pp. 301-306. doi : 10.1016/j.crme.2015.02.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.02.005/

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