Model reduction by mean-field homogenization in viscoelastic composites. II. Application to rigidly reinforced solids

The mean-field homogenization scheme proposed by Lahellec & Suquet (2007 Int. J. Solids Struct. 44, 507–529 (doi:10.1016/j.ijsolstr.2006.04.038)) and revisited in a companion paper (Idiart et al. 2020 Proc. R. Soc. A 20200407 (doi:10.1098/rspa.2020.0407)) is applied to random mixtures of a v...

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Autores principales: Idiart, Martín Ignacio, Lahellec, Noël, Suquet, Pierre
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Ingeniería Aeronáutica
Viscoelastic composites
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/145236
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-145236
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería Aeronáutica
Viscoelastic composites
spellingShingle Ingeniería Aeronáutica
Viscoelastic composites
Idiart, Martín Ignacio
Lahellec, Noël
Suquet, Pierre
Model reduction by mean-field homogenization in viscoelastic composites. II. Application to rigidly reinforced solids
topic_facet Ingeniería Aeronáutica
Viscoelastic composites
description The mean-field homogenization scheme proposed by Lahellec & Suquet (2007 Int. J. Solids Struct. 44, 507–529 (doi:10.1016/j.ijsolstr.2006.04.038)) and revisited in a companion paper (Idiart et al. 2020 Proc. R. Soc. A 20200407 (doi:10.1098/rspa.2020.0407)) is applied to random mixtures of a viscoelastic solid phase and a rigid phase. Two classes of mixtures with different microstructural arrangements are considered. In the first class the rigid phase is dispersed within the continuous viscoelastic phase in such a way that the elastic moduli of the mixture are given exactly by the Hashin–Shtrikman formalism. In the second class, both phases are intertwined in such a way that the elastic moduli of the mixture are given exactly by the Self-Consistent formalism. Results are reported for specimens subject to various complex deformation programmes. The scheme is found to improve on earlier approximations of common use and even recover exact results under several circumstances. However, it can also generate highly inaccurate predictions as a result of the loss of convexity of the free-energy density. An auspicious procedure to partially circumvent this issue is advanced.
format Articulo
Articulo
author Idiart, Martín Ignacio
Lahellec, Noël
Suquet, Pierre
author_facet Idiart, Martín Ignacio
Lahellec, Noël
Suquet, Pierre
author_sort Idiart, Martín Ignacio
title Model reduction by mean-field homogenization in viscoelastic composites. II. Application to rigidly reinforced solids
title_short Model reduction by mean-field homogenization in viscoelastic composites. II. Application to rigidly reinforced solids
title_full Model reduction by mean-field homogenization in viscoelastic composites. II. Application to rigidly reinforced solids
title_fullStr Model reduction by mean-field homogenization in viscoelastic composites. II. Application to rigidly reinforced solids
title_full_unstemmed Model reduction by mean-field homogenization in viscoelastic composites. II. Application to rigidly reinforced solids
title_sort model reduction by mean-field homogenization in viscoelastic composites. ii. application to rigidly reinforced solids
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/145236
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AT suquetpierre modelreductionbymeanfieldhomogenizationinviscoelasticcompositesiiapplicationtorigidlyreinforcedsolids
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