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

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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: López Pamies, Oscar, Idiart, Martín Ignacio, Li, Zhiyun
Formato: Articulo
Lenguaje:Inglés
Publicado: 2010
Materias:
Ingeniería
finite strain
microstructures
instabilities
homogenization
Hamilton–Jacobi equation
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126910
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126910
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
finite strain
microstructures
instabilities
homogenization
Hamilton–Jacobi equation
spellingShingle Ingeniería
finite strain
microstructures
instabilities
homogenization
Hamilton–Jacobi equation
López Pamies, Oscar
Idiart, Martín Ignacio
Li, Zhiyun
On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
topic_facet Ingeniería
finite strain
microstructures
instabilities
homogenization
Hamilton–Jacobi equation
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.
format Articulo
Articulo
author López Pamies, Oscar
Idiart, Martín Ignacio
Li, Zhiyun
author_facet López Pamies, Oscar
Idiart, Martín Ignacio
Li, Zhiyun
author_sort López Pamies, Oscar
title On Microstructure Evolution in Fiber-Reinforced Elastomers and Implications for Their Mechanical Response and Stability
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
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/126910
work_keys_str_mv AT lopezpamiesoscar onmicrostructureevolutioninfiberreinforcedelastomersandimplicationsfortheirmechanicalresponseandstability
AT idiartmartinignacio onmicrostructureevolutioninfiberreinforcedelastomersandimplicationsfortheirmechanicalresponseandstability
AT lizhiyun onmicrostructureevolutioninfiberreinforcedelastomersandimplicationsfortheirmechanicalresponseandstability
bdutipo_str Repositorios
_version_ 1764820451383574530

Ejemplares similares