Comptes Rendus
no. 4-5
Four exact relations for the effective relaxation function of linear viscoelastic composites
Pierre Suquet1
1 LMA, CNRS, UPR 7051, Aix-Marseille Univ., Centrale Marseille, 13402 Marseille cedex 20, France
Comptes Rendus. Mécanique, Volume 340 (2012) no. 4-5, pp. 387-399.

This study is devoted to viscoelastic composites composed of 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.

Publié le :
DOI : 10.1016/j.crme.2012.02.022
Mots clés : Linear viscoelastic composite, Effective relaxation function, Maxwell constituents
Pierre Suquet 1

1 LMA, CNRS, UPR 7051, Aix-Marseille Univ., Centrale Marseille, 13402 Marseille cedex 20, France 
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Pierre Suquet. Four exact relations for the effective relaxation function of linear viscoelastic composites. Comptes Rendus. Mécanique, Volume 340 (2012) no. 4-5, pp. 387-399. doi : 10.1016/j.crme.2012.02.022. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.02.022/

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