Show simple item record

dc.contributor.author
 hal.structure.identifier
VU, QH
233425 Laboratoire des Sciences des Procédés et des Matériaux [LSPM]
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
dc.contributor.author
 hal.structure.identifier
BRENNER, Renald
233425 Laboratoire des Sciences des Procédés et des Matériaux [LSPM]
dc.contributor.author
 hal.structure.identifier
CASTELNAU, Olivier
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
dc.contributor.author
 hal.structure.identifier
MOULINEC, H
136844 Laboratoire de Mécanique et d'Acoustique [Marseille] [LMA ]
dc.contributor.authorSUQUET, P
dc.date.accessioned2015
dc.date.available2015
dc.date.issued2012
dc.date.submitted2015
dc.identifier.issn0965-0393
dc.identifier.urihttp://hdl.handle.net/10985/10144
dc.description.abstractThe correspondence principle is customarily used with the Laplace–Carson transform technique to tackle the homogenization of linear viscoelastic heterogeneous media. The main drawback of this method lies in the fact that the whole stress and strain histories have to be considered to compute the mechanical response of the material during a given macroscopic loading. Following a remark of Mandel (1966 Mécanique des Milieux Continus(Paris, France: Gauthier-Villars)), Ricaud and Masson (2009 Int. J. Solids Struct. 46 1599–1606) have shown the equivalence between the collocation method used to invert Laplace–Carson transforms and an internal variables formulation. In this paper, this new method is developed for the case of polycrystalline materials with general anisotropic properties for local and macroscopic behavior. Applications are provided for the case of constitutive relations accounting for glide of dislocations on particular slip systems. It is shown that the method yields accurate results that perfectly match the standard collocation method and reference full-field results obtained with a FFT numerical scheme. The formulation is then extended to the case of time- and strain-dependent viscous properties, leading to the incremental collocation method (ICM) that can be solved efficiently by a step-by-step procedure. Specifically, the introduction of isotropic and kinematic hardening at the slip system scale is considered.
dc.language.isoen
dc.publisherIOP Publishing
dc.rightsPost-print
dc.titleA self-consistent estimate for linear viscoelastic polycrystals with internal variables inferred from the collocation method
dc.identifier.doi:10.1088/0965-0393/20/2/024003
dc.typdocArticle dans une revue avec comité de lecture
dc.localisationCentre de Paris
dc.subject.halSciences de l'ingénieur: Matériaux
dc.subject.halSciences de l'ingénieur: Mécanique
ensam.audienceInternationale
ensam.page024003 (17pp)
ensam.journalModelling and Simulation in Materials Science and Engineering
ensam.volume20
hal.description.errorMetadatas are not valid : {"meta":{"identifier":{"regexNotMatch":"':10.1088\/0965-0393\/20\/2\/024003' n'est pas un DOI valide, par exemple : 10.xxx"}}}
hal.statusunsent
dc.identifier.eissn1361-651X


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record