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.
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00683860
Contributor : Pierre Suquet <>
Submitted on : Friday, March 30, 2012 - 8:44:46 AM
Last modification on : Monday, March 4, 2019 - 2:04:23 PM
Long-term archiving on : Wednesday, December 14, 2016 - 6:52:07 PM

File

Suquet_CRM_specialZaoui.pdf
Publisher files allowed on an open archive

Identifiers

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⟩

Share

Metrics

Record views

273

Files downloads

439