Comptes Rendus
no. 12
A reduced simulation applied to the viscoelastic fatigue of polymers
Mohammad Hammoud1  ; Marianne Beringhier2  ; Jean-Claude Grandidier2
1 Structure Dynamics Materials Group, Mechanical Department, School of Engineering, Lebanese International University, Mouseitbeh, Beirut, Lebanon
2 Institut P′, Département “Physique et mécanique des matériaux”, UPR CNRS 3346, ISAE–ENSMA, 86360 Chasseneuil-du-Poitou, France
Comptes Rendus. Mécanique, Volume 342 (2014) no. 12, pp. 671-691.

The paper extends the use of the PGD method to viscoelastic evolution problems described by a large number of internal variables and with a large spectrum of relaxation times. The internal variables evolution is described by a set of linear differential equations that involve many time scales. The feasibility and the robustness of the method are discussed in the case of a polymer in a non-equilibrium state under creep and cyclic loading. The relationships between different time scales (loading and internal variables) are also discussed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2014.07.008
Mots clés : PGD, Polymer, Viscoelastic, Internal variable, Relaxation, Model reduction
Mohammad Hammoud 1 ; Marianne Beringhier 2 ; Jean-Claude Grandidier 2

1 Structure Dynamics Materials Group, Mechanical Department, School of Engineering, Lebanese International University, Mouseitbeh, Beirut, Lebanon
2 Institut P′, Département “Physique et mécanique des matériaux”, UPR CNRS 3346, ISAE–ENSMA, 86360 Chasseneuil-du-Poitou, France 
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Mohammad Hammoud; Marianne Beringhier; Jean-Claude Grandidier. A reduced simulation applied to the viscoelastic fatigue of polymers. Comptes Rendus. Mécanique, Volume 342 (2014) no. 12, pp. 671-691. doi : 10.1016/j.crme.2014.07.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.07.008/

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