Field statistics in linear viscoelastic composites and polycrystals. - ENSTA Bretagne - École nationale supérieure de techniques avancées Bretagne Accéder directement au contenu
Article Dans Une Revue European Journal of Mechanics - A/Solids Année : 2015

Field statistics in linear viscoelastic composites and polycrystals.

Claudiu Badulescu
MMA

Résumé

The aim of this study is to estimate the effective response, as well as the statistics of the fields (average and fluctuations per phase) in linear viscoelastic heterogeneous materials. To this effect, a variational method based on a rate variational principle (RVP) has recently been introduced by the authors in which, at each time step, the stress or strain fields are approximated by those of a linear thermoelastic comparison composite. In the present study, a different derivation of this estimate is proposed, based on a simple approximation of the stress field along the time steps. The present study also explores the accuracy of the RVP model by comparing its predictions with reference results, either in closed form (for specific two-phase particulate composites) or obtained by full-field simulations (FFT method) for 2D polycrystals. A differential equation for the second moment of the stress field in the individual phases of two-phase particulate composites is given for the first time. These comparisons show that the RVP model delivers a very accurate estimate of the effective behavior as well as of the statistics of the local fields in two-phase particulate composites. For polycrystalline materials subjected to monotonic loading, the effective behavior and the statistics of the local fields are well predicted. The agreement is less accurate for cycling loadings.
Fichier principal
Vignette du fichier
RVP-VE-isopoly-hal.pdf (2.66 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01069603 , version 1 (06-10-2014)

Identifiants

Citer

Claudiu Badulescu, Noel Lahellec, Pierre Suquet. Field statistics in linear viscoelastic composites and polycrystals.. European Journal of Mechanics - A/Solids, 2015, 45, pp.329-344. ⟨10.1016/j.euromechsol.2014.07.012⟩. ⟨hal-01069603⟩
315 Consultations
324 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More