On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability
- Autores
- Lopez Pamies, Oscar; Idiart, Martín Ignacio; Li, Zhiyun
- Año de publicación
- 2011
- 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 stiffness 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.
Fil: Lopez Pamies, Oscar. State University of New York; Estados Unidos
Fil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
Fil: Li, Zhiyun. State University of New York; Estados Unidos - Materia
-
FINITE STRAIN
HAMILTON-JACOBI EQUATION
HOMOGENIZATION
INSTABILITIES
MICROSTRUCTURES - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/198221
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On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stabilityLopez Pamies, OscarIdiart, Martín IgnacioLi, ZhiyunFINITE STRAINHAMILTON-JACOBI EQUATIONHOMOGENIZATIONINSTABILITIESMICROSTRUCTUREShttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2Lopez-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 stiffness 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.Fil: Lopez Pamies, Oscar. State University of New York; Estados UnidosFil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; ArgentinaFil: Li, Zhiyun. State University of New York; Estados UnidosAmerican Society of Mechanical Engineers2011-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/198221Lopez Pamies, Oscar; Idiart, Martín Ignacio; Li, Zhiyun; On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability; American Society of Mechanical Engineers; Journal of Engineering Materials and Technology- Transactions of the ASME; 133; 1; 1-2011; 1-100094-4289CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://asmedigitalcollection.asme.org/materialstechnology/article-abstract/133/1/011007/465410/On-Microstructure-Evolution-in-Fiber-Reinforcedinfo:eu-repo/semantics/altIdentifier/doi/10.1115/1.4002642info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:19:15Zoai:ri.conicet.gov.ar:11336/198221instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:19:15.663CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
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 Lopez Pamies, Oscar FINITE STRAIN HAMILTON-JACOBI EQUATION HOMOGENIZATION INSTABILITIES MICROSTRUCTURES |
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 |
Lopez Pamies, Oscar Idiart, Martín Ignacio Li, Zhiyun |
author |
Lopez Pamies, Oscar |
author_facet |
Lopez 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 |
FINITE STRAIN HAMILTON-JACOBI EQUATION HOMOGENIZATION INSTABILITIES MICROSTRUCTURES |
topic |
FINITE STRAIN HAMILTON-JACOBI EQUATION HOMOGENIZATION INSTABILITIES MICROSTRUCTURES |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/2.3 https://purl.org/becyt/ford/2 |
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 stiffness 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. Fil: Lopez Pamies, Oscar. State University of New York; Estados Unidos Fil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina Fil: Li, Zhiyun. State University of New York; Estados Unidos |
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 stiffness 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 |
2011 |
dc.date.none.fl_str_mv |
2011-01 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 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://hdl.handle.net/11336/198221 Lopez Pamies, Oscar; Idiart, Martín Ignacio; Li, Zhiyun; On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability; American Society of Mechanical Engineers; Journal of Engineering Materials and Technology- Transactions of the ASME; 133; 1; 1-2011; 1-10 0094-4289 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/198221 |
identifier_str_mv |
Lopez Pamies, Oscar; Idiart, Martín Ignacio; Li, Zhiyun; On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability; American Society of Mechanical Engineers; Journal of Engineering Materials and Technology- Transactions of the ASME; 133; 1; 1-2011; 1-10 0094-4289 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://asmedigitalcollection.asme.org/materialstechnology/article-abstract/133/1/011007/465410/On-Microstructure-Evolution-in-Fiber-Reinforced info:eu-repo/semantics/altIdentifier/doi/10.1115/1.4002642 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
American Society of Mechanical Engineers |
publisher.none.fl_str_mv |
American Society of Mechanical Engineers |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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