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dc.contributor.author
Lahellec, Noel
dc.contributor.author
Idiart, Martín Ignacio
dc.contributor.author
Suquet, Pierre
dc.date.available
2022-03-12T02:56:59Z
dc.date.issued
2021-05
dc.identifier.citation
Lahellec, Noel; Idiart, Martín Ignacio; Suquet, Pierre; Model reduction by mean-field homogenization in viscoelastic composites. III. Dual theory; The Royal Society; Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences; 477; 2249; 5-2021; 1-17
dc.identifier.issn
1364-5021
dc.identifier.uri
http://hdl.handle.net/11336/153295
dc.description.abstract
The mean-field homogenization scheme for viscoelastic composites proposed by Lahellec & Suquet (2013 Int. J. Plasticity 42, 1-13 (doi:10.1016/j.ijplas.2012.09.005)) is revisited from the standpoint recently adopted in a companion paper (Idiart MI et al. 2020 Proc. R. Soc. A 20200407 (doi:10.1098/rspa.2020.0407)). It is shown that the scheme generates a reduced-order approximation wherein the microscopic kinetics of the composite are described in terms of a finite set of macroscopic forces identified with the phase averages and intraphase covariances of the various microscopic force fields, which can be evaluated by mean-field homogenization techniques. The approximation exhibits a two-potential structure with a convex complementary energy density but a non-convex force potential. The consequential properties of the approximation are exposed and their implications are discussed. The exposition is supplemented by proofs of equivalence between the present scheme and other candidate schemes proposed in the literature for composites with elementary local rheologies of Maxwellian type.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
The Royal Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
COMPOSITES
dc.subject
HOMOGENIZATION
dc.subject
VARIATIONAL METHODS
dc.subject
VISCOELASTICITY
dc.subject.classification
Ingeniería Aeroespacial
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Ingeniería Mecánica
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INGENIERÍAS Y TECNOLOGÍAS
dc.title
Model reduction by mean-field homogenization in viscoelastic composites. III. Dual theory
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-03-02T15:47:17Z
dc.journal.volume
477
dc.journal.number
2249
dc.journal.pagination
1-17
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Lahellec, Noel. Centre National de la Recherche Scientifique; Francia
dc.description.fil
Fil: Idiart, Martín Ignacio. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
dc.description.fil
Fil: Suquet, Pierre. Centre National de la Recherche Scientifique; Francia
dc.journal.title
Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://royalsocietypublishing.org/doi/10.1098/rspa.2020.0869
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1098/rspa.2020.0869
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