A general hyperelastic model for incompressible fiber-reinforced elastomers
type: Item
instance of: scholarly article
title: A general hyperelastic model for incompressible fiber-reinforced elastomers
zbMATH Open document ID: 1197.74025
author: M. Agoras
author: Oscar Lopez-Pamies
author: Pedro Ponte Castañeda
published in: Journal of the Mechanics and Physics of Solids
publication date: 2009-08-31T00:00:00Z
review text: The authors present a general hyperelastic model for finitely deformed incompressible fiber-reinforced elastomers. For that, the matrix and fiber phases are assumed to be incompressible isotropic hyperelastic solids. Moreover, the fibers are considered to be perfectly aligned and distributed randomly and isotropically in the transverse plane, leading to overall transversely isotropic behavior of the composite. The modeling equations are derived by means of the ``second-order'' homogenization theory which makes use of suitably designed variational principles utilizing the idea of a ``linear comparison composite''. The present model allows to study the behavior of constituent phases that is more general than neo-Hookean behavior. In a special case, the present model reduces to these models considering neo-Hookean behavior. The work is well written and may find several readers working in the area of finitely deformed fiber-reinforced composite materials.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74Q05
zbMATH DE Number: 5600176
zbMATH Keywords: finite strain
zbMATH Keywords: second-order homogenization theory
zbMATH Keywords: linear comparison composite
reviewed by: Hilmi Demiray
MaRDI profile type: Publication
full work available at URL: j.jmps.2008.10.014
OpenAlex ID: W2021638292
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DOI: 10.1016/J.JMPS.2008.10.014
description: scientific article; zbMATH DE number 5600176