Incremental homogenization approach for ageing viscoelastic polycrystals

Renaud Masson (1) , Renald Brenner , Olivier Castelnau

1 SESC - Service d'Etudes de Simulation du Comportement du combustibles

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.

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux; Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]; Thermique [physics.class-ph]; Mécanique des structures [physics.class-ph]

Renaud Masson, Renald Brenner, Olivier Castelnau. Incremental homogenization approach for ageing viscoelastic polycrystals. Comptes Rendus Mécanique, 2012, 340 (4-5), pp.378-386. ⟨10.1016/j.crme.2012.02.021⟩. ⟨hal-03427486⟩