Viscoelastic effective properties for composites with rectangular cross-section fibers using the asymptotic homogenization method View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2018

AUTHORS

Oscar L. Cruz-González , Reinaldo Rodríguez-Ramos , José A. Otero , Julián Bravo-Castillero , Raúl Guinovart-Díaz , Raúl Martínez-Rosado , Federico J. Sabina , Serge Dumont , Frederic Lebon , Igor Sevostianov

ABSTRACT

The present work deals with the estimation of the linear viscoelastic effective properties for composites with periodic structure and rectangular cross-section fibers, using the two-scale asymptotic homogenization method (AHM). As a particular case, the effective properties for a layered medium with transversely isotropic properties are obtained. Two times the homogenization method, in different directions, according to the geometrical configuration of the composite material is applied for deriving the analytical expressions of the viscoelastic effective properties for a composite material with rectangular cross-section fibers, periodically distributed along one axis. In addition to that, models with different creep kernels, in particular, the Rabotnov’s kernel are analyzed. Finally, the numerical computation of the effective viscoelastic properties is developed for the analysis of the results. Moreover, a numerical algorithm using FEM is developed in the present work. Comparisons with other approaches are given as a validation of the present model. More... »

PAGES

203-222

Book

TITLE

Generalized Models and Non-classical Approaches in Complex Materials 1

ISBN

978-3-319-72439-3
978-3-319-72440-9

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-72440-9_10

DOI

http://dx.doi.org/10.1007/978-3-319-72440-9_10

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1101719044


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36 schema:description The present work deals with the estimation of the linear viscoelastic effective properties for composites with periodic structure and rectangular cross-section fibers, using the two-scale asymptotic homogenization method (AHM). As a particular case, the effective properties for a layered medium with transversely isotropic properties are obtained. Two times the homogenization method, in different directions, according to the geometrical configuration of the composite material is applied for deriving the analytical expressions of the viscoelastic effective properties for a composite material with rectangular cross-section fibers, periodically distributed along one axis. In addition to that, models with different creep kernels, in particular, the Rabotnov’s kernel are analyzed. Finally, the numerical computation of the effective viscoelastic properties is developed for the analysis of the results. Moreover, a numerical algorithm using FEM is developed in the present work. Comparisons with other approaches are given as a validation of the present model.
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