Incremental homogenization approach for ageing viscoelastic polycrystals

Renaud Masson (1) , Renald Brenner (2) , Olivier Castelnau (3)

1 SESC - Service d'Etudes de Simulation du Comportement du combustibles
2 LSPM - Laboratoire des Sciences des Procédés et des Matériaux
3 PIMM - Laboratoire Procédés et Ingénierie en Mécanique et Matériaux

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

Mots clés: Viscoelasticity; Polycrystal; Ageing

Domaines: Matériaux; Mécanique [physics.med-ph]

Renaud Masson, Renald Brenner, Olivier Castelnau. Incremental homogenization approach for ageing viscoelastic polycrystals. Comptes Rendus Mécanique, 2012, 340, pp.378-386. ⟨10.1016/j.crme.2012.02.021⟩. ⟨hal-01205563⟩