Effective behavior of long and short fiber-reinforced viscoelastic composites

We study the homogenized properties of linear viscoelastic composite materials in three dimensions. The composites are assumed to be constituted by a non-aging, isotropic viscoelastic matrix reinforced by square or hexagonal arrangements of elastic transversely isotropic long and short fibers, the l...

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Autores principales:	O.L. Cruz-González, A. Ramírez-Torres, R. Rodríguez-Ramos, J.A. Otero, R. Penta, F. Lebon
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Homogenization Viscoelasticity Fiber reinforced composites Power-law model Transverse isotropy Finite elements Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/d2ee43acc8294aad841449f5417c8f62
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spelling	oai:doaj.org-article:d2ee43acc8294aad841449f5417c8f622021-12-01T05:05:56ZEffective behavior of long and short fiber-reinforced viscoelastic composites2666-496810.1016/j.apples.2021.100037https://doaj.org/article/d2ee43acc8294aad841449f5417c8f622021-06-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496821000030https://doaj.org/toc/2666-4968We study the homogenized properties of linear viscoelastic composite materials in three dimensions. The composites are assumed to be constituted by a non-aging, isotropic viscoelastic matrix reinforced by square or hexagonal arrangements of elastic transversely isotropic long and short fibers, the latter being cylindrical inclusions. The effective properties of these kind of materials are obtained by means of a semi-analytical approach combining the Asymptotic Homogenization Method (AHM) with numerical computations performed by Finite Elements (FE) simulations. We consider the elastic-viscoelastic correspondence principle and we derive the associated local and homogenized problems, and the effective coefficients in the Laplace–Carson domain. The effective coefficients are computed from the microscale local problems, which are equipped with appropriate interface loads arising from the discontinuities of the material properties between the constituents, for different fibers’ orientations in the time domain by inverting the Laplace–Carson transform. We compare our results with those given by the Locally Exact Homogenization Theory (LEHT), and with experimental measurements for long fibers. In doing this, we take into consideration Burger’s and power-law viscoelastic models. Additionally, we present our findings for short fiber reinforced composites which demonstrates the potential of our fully three dimensional approach.O.L. Cruz-GonzálezA. Ramírez-TorresR. Rodríguez-RamosJ.A. OteroR. PentaF. LebonElsevierarticleHomogenizationViscoelasticityFiber reinforced compositesPower-law modelTransverse isotropyFinite elementsEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 6, Iss , Pp 100037- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Homogenization Viscoelasticity Fiber reinforced composites Power-law model Transverse isotropy Finite elements Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Homogenization Viscoelasticity Fiber reinforced composites Power-law model Transverse isotropy Finite elements Engineering (General). Civil engineering (General) TA1-2040 O.L. Cruz-González A. Ramírez-Torres R. Rodríguez-Ramos J.A. Otero R. Penta F. Lebon Effective behavior of long and short fiber-reinforced viscoelastic composites
description	We study the homogenized properties of linear viscoelastic composite materials in three dimensions. The composites are assumed to be constituted by a non-aging, isotropic viscoelastic matrix reinforced by square or hexagonal arrangements of elastic transversely isotropic long and short fibers, the latter being cylindrical inclusions. The effective properties of these kind of materials are obtained by means of a semi-analytical approach combining the Asymptotic Homogenization Method (AHM) with numerical computations performed by Finite Elements (FE) simulations. We consider the elastic-viscoelastic correspondence principle and we derive the associated local and homogenized problems, and the effective coefficients in the Laplace–Carson domain. The effective coefficients are computed from the microscale local problems, which are equipped with appropriate interface loads arising from the discontinuities of the material properties between the constituents, for different fibers’ orientations in the time domain by inverting the Laplace–Carson transform. We compare our results with those given by the Locally Exact Homogenization Theory (LEHT), and with experimental measurements for long fibers. In doing this, we take into consideration Burger’s and power-law viscoelastic models. Additionally, we present our findings for short fiber reinforced composites which demonstrates the potential of our fully three dimensional approach.
format	article
author	O.L. Cruz-González A. Ramírez-Torres R. Rodríguez-Ramos J.A. Otero R. Penta F. Lebon
author_facet	O.L. Cruz-González A. Ramírez-Torres R. Rodríguez-Ramos J.A. Otero R. Penta F. Lebon
author_sort	O.L. Cruz-González
title	Effective behavior of long and short fiber-reinforced viscoelastic composites
title_short	Effective behavior of long and short fiber-reinforced viscoelastic composites
title_full	Effective behavior of long and short fiber-reinforced viscoelastic composites
title_fullStr	Effective behavior of long and short fiber-reinforced viscoelastic composites
title_full_unstemmed	Effective behavior of long and short fiber-reinforced viscoelastic composites
title_sort	effective behavior of long and short fiber-reinforced viscoelastic composites
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/d2ee43acc8294aad841449f5417c8f62
work_keys_str_mv	AT olcruzgonzalez effectivebehavioroflongandshortfiberreinforcedviscoelasticcomposites AT aramireztorres effectivebehavioroflongandshortfiberreinforcedviscoelasticcomposites AT rrodriguezramos effectivebehavioroflongandshortfiberreinforcedviscoelasticcomposites AT jaotero effectivebehavioroflongandshortfiberreinforcedviscoelasticcomposites AT rpenta effectivebehavioroflongandshortfiberreinforcedviscoelasticcomposites AT flebon effectivebehavioroflongandshortfiberreinforcedviscoelasticcomposites
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Effective behavior of long and short fiber-reinforced viscoelastic composites

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