Four exact relations for the effective relaxation function of linear viscoelastic composites

Pierre Suquet 1
1 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : This study is devoted to viscoelastic composites composed from individual Maxwell constituents. The effective constitutive relations of such composites exhibit a long memory effect which manifests itself through an integral kernel (the effective relaxation function of the composite). Four asymptotic relations for this integral kernel are derived which require only the resolution of linear elastic (or purely viscous) problems. These four relations can be used in an approximate model with two relaxation times (for incompressible, isotropic composites). The model is exact for specific microstructures but is an approximation in general. Its accuracy is discussed by comparison with full-field simulations.
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-00683860
Contributeur : Pierre Suquet <>
Soumis le : vendredi 30 mars 2012 - 08:44:46
Dernière modification le : vendredi 11 mars 2016 - 01:02:09
Document(s) archivé(s) le : mercredi 14 décembre 2016 - 18:52:07

Fichier

Suquet_CRM_specialZaoui.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

Collections

Citation

Pierre Suquet. Four exact relations for the effective relaxation function of linear viscoelastic composites. Comptes Rendus Mécanique, Elsevier Masson, 2012, 340 (4-5), pp.387-399. <10.1016/j.crme.2012.02.022>. <hal-00683860>

Partager

Métriques

Consultations de
la notice

210

Téléchargements du document

230