Comptes Rendus
no. 4-5
Incremental homogenization approach for ageing viscoelastic polycrystals
Renaud Masson1  ; Renald Brenner2  ; Olivier Castelnau3
1 CEA, DEN, Fuel Studies Department, Cadarache, 13108 Saint-Paul-lez-Durance, France
2 Laboratoire des sciences des procédés et des matériaux, CNRS, université Paris nord, 99, avenue Jean-Baptiste-Clément, 93430 Villetaneuse, France
3 Laboratoire procédés et ingénierie en mécanique et matériaux, CNRS, Arts & Métiers ParisTech, 151, boulevard de lʼhôpital, 75013 Paris, France
Comptes Rendus. Mécanique, Volume 340 (2012) no. 4-5, pp. 378-386.

An approximate self-consistent modelling is proposed to estimate the effective viscoelastic response of polycrystals presenting an ageing constitutive behaviour. This approach makes use of the equivalence between the Dirichlet series approximation of the viscoelastic functions and an internal variables formulation. An illustrative application is performed for model 2d polycrystals for which the exact expression of the continuous effective relaxation spectrum is given.

Publié le :
DOI : 10.1016/j.crme.2012.02.021
Mots clés : Viscoelasticity, Polycrystal, Ageing
Renaud Masson 1 ; Renald Brenner 2 ; Olivier Castelnau 3

1 CEA, DEN, Fuel Studies Department, Cadarache, 13108 Saint-Paul-lez-Durance, France
2 Laboratoire des sciences des procédés et des matériaux, CNRS, université Paris nord, 99, avenue Jean-Baptiste-Clément, 93430 Villetaneuse, France
3 Laboratoire procédés et ingénierie en mécanique et matériaux, CNRS, Arts & Métiers ParisTech, 151, boulevard de lʼhôpital, 75013 Paris, France 
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Renaud Masson; Renald Brenner; Olivier Castelnau. Incremental homogenization approach for ageing viscoelastic polycrystals. Comptes Rendus. Mécanique, Volume 340 (2012) no. 4-5, pp. 378-386. doi : 10.1016/j.crme.2012.02.021. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.02.021/

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