On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability

Autores
López Pamies, Oscar; Idiart, Martín Ignacio; Li, Zhiyun
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Lopez-Pamies and Idiart (2010, "Fiber-Reinforced Hyperelastic Solids: A Realizable Homogenization Constitutive Theory, "J. Eng. Math., 68(1), pp. 57-83) have recently put forward a homogenization theory with the capability to generate exact results not only for the macroscopic response and stability but also for the evolution of the microstructure in fiber-reinforced hyperelastic solids subjected to finite deformations. In this paper, we make use of this new theory to construct exact, closed-form solutions for the change in size, shape, and orientation undergone by the underlying fibers in a model class of fiber-reinforced hyperelastic solids along arbitrary 3D loading conditions. Making use of these results, we then establish connections between the evolution of the microstructure and the overall stress-strain relation and macroscopic stability in fiber-reinforced elastomers. In particular, we show that the rotation of the fibers may lead to the softening of the overall stiffreess of fiber-reinforced elastomers under certain loading conditions. Furthermore, we show that this geometric mechanism is intimately related to the development of long-wavelength instabilities. These findings are discussed in light of comparisons with recent results for related material systems.
Facultad de Ingeniería
Materia
Ingeniería
finite strain
microstructures
instabilities
homogenization
Hamilton–Jacobi equation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126910
Acceder
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spelling On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and StabilityLópez Pamies, OscarIdiart, Martín IgnacioLi, ZhiyunIngenieríafinite strainmicrostructuresinstabilitieshomogenizationHamilton–Jacobi equationLopez-Pamies and Idiart (2010, "Fiber-Reinforced Hyperelastic Solids: A Realizable Homogenization Constitutive Theory, "J. Eng. Math., 68(1), pp. 57-83) have recently put forward a homogenization theory with the capability to generate exact results not only for the macroscopic response and stability but also for the evolution of the microstructure in fiber-reinforced hyperelastic solids subjected to finite deformations. In this paper, we make use of this new theory to construct exact, closed-form solutions for the change in size, shape, and orientation undergone by the underlying fibers in a model class of fiber-reinforced hyperelastic solids along arbitrary 3D loading conditions. Making use of these results, we then establish connections between the evolution of the microstructure and the overall stress-strain relation and macroscopic stability in fiber-reinforced elastomers. In particular, we show that the rotation of the fibers may lead to the softening of the overall stiffreess of fiber-reinforced elastomers under certain loading conditions. Furthermore, we show that this geometric mechanism is intimately related to the development of long-wavelength instabilities. These findings are discussed in light of comparisons with recent results for related material systems.Facultad de Ingeniería2010-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126910enginfo:eu-repo/semantics/altIdentifier/issn/0094-4289info:eu-repo/semantics/altIdentifier/issn/1528-8889info:eu-repo/semantics/altIdentifier/doi/10.1115/1.4002642info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:11:15Zoai:sedici.unlp.edu.ar:10915/126910Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:11:16.23SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
title On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
spellingShingle On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
López Pamies, Oscar
Ingeniería
finite strain
microstructures
instabilities
homogenization
Hamilton–Jacobi equation
title_short On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
title_full On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
title_fullStr On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
title_full_unstemmed On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
title_sort On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
dc.creator.none.fl_str_mv López Pamies, Oscar
Idiart, Martín Ignacio
Li, Zhiyun
author López Pamies, Oscar
author_facet López Pamies, Oscar
Idiart, Martín Ignacio
Li, Zhiyun
author_role author
author2 Idiart, Martín Ignacio
Li, Zhiyun
author2_role author
author
dc.subject.none.fl_str_mv Ingeniería
finite strain
microstructures
instabilities
homogenization
Hamilton–Jacobi equation
topic Ingeniería
finite strain
microstructures
instabilities
homogenization
Hamilton–Jacobi equation
dc.description.none.fl_txt_mv Lopez-Pamies and Idiart (2010, "Fiber-Reinforced Hyperelastic Solids: A Realizable Homogenization Constitutive Theory, "J. Eng. Math., 68(1), pp. 57-83) have recently put forward a homogenization theory with the capability to generate exact results not only for the macroscopic response and stability but also for the evolution of the microstructure in fiber-reinforced hyperelastic solids subjected to finite deformations. In this paper, we make use of this new theory to construct exact, closed-form solutions for the change in size, shape, and orientation undergone by the underlying fibers in a model class of fiber-reinforced hyperelastic solids along arbitrary 3D loading conditions. Making use of these results, we then establish connections between the evolution of the microstructure and the overall stress-strain relation and macroscopic stability in fiber-reinforced elastomers. In particular, we show that the rotation of the fibers may lead to the softening of the overall stiffreess of fiber-reinforced elastomers under certain loading conditions. Furthermore, we show that this geometric mechanism is intimately related to the development of long-wavelength instabilities. These findings are discussed in light of comparisons with recent results for related material systems.
Facultad de Ingeniería
description Lopez-Pamies and Idiart (2010, "Fiber-Reinforced Hyperelastic Solids: A Realizable Homogenization Constitutive Theory, "J. Eng. Math., 68(1), pp. 57-83) have recently put forward a homogenization theory with the capability to generate exact results not only for the macroscopic response and stability but also for the evolution of the microstructure in fiber-reinforced hyperelastic solids subjected to finite deformations. In this paper, we make use of this new theory to construct exact, closed-form solutions for the change in size, shape, and orientation undergone by the underlying fibers in a model class of fiber-reinforced hyperelastic solids along arbitrary 3D loading conditions. Making use of these results, we then establish connections between the evolution of the microstructure and the overall stress-strain relation and macroscopic stability in fiber-reinforced elastomers. In particular, we show that the rotation of the fibers may lead to the softening of the overall stiffreess of fiber-reinforced elastomers under certain loading conditions. Furthermore, we show that this geometric mechanism is intimately related to the development of long-wavelength instabilities. These findings are discussed in light of comparisons with recent results for related material systems.
publishDate 2010
dc.date.none.fl_str_mv 2010-12-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/126910
url http://sedici.unlp.edu.ar/handle/10915/126910
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0094-4289
info:eu-repo/semantics/altIdentifier/issn/1528-8889
info:eu-repo/semantics/altIdentifier/doi/10.1115/1.4002642
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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