Comptes Rendus
An incremental constitutive law for ageing viscoelastic materials: a three-dimensional approach
Comptes Rendus. Mécanique, Volume 337 (2009) no. 1, pp. 30-33.

A new approach to a viscoelastic medium is presented and the constitutive equations of ageing viscoelastic materials are developed. The formulation is equivalent to ageing Kelvin or Maxwell chain models with age dependent elastic moduli and viscosities. It is shown that by using such models, the retaining of the complete past history of stress and strain in the memory of a digital computer is avoided. Finally, the formulation is generalized to deal with three-dimensional problems.

Une nouvelle approche incrémentale propre aux milieux viscoélastiques vieillissants est présentée. La formulation analytique proposée est équivalente aux modèles de Kelvin Voigt ou de Maxwell dont les modules élastiques et visqueux dépendent du temps. Grâce à ces modèles, il est démontré que le stockage complet, dans la mémoire de l'ordinateur, de toute l'histoire des contraintes et des déformations est évité. Finalement, la formulation développée est généralisée aux problèmes tridimensionnels.

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DOI: 10.1016/j.crme.2008.12.002
Keywords: Computational solid mechanics, Incremental formulation, Ageing viscoelastic materials, Finite element
Mot clés : Mécanique des solides numérique, Formulation incrémentale, Matériaux viscoélastiques vieillissants, Eléments finis

Claude François Chazal 1; Rostand Moutou Pitti 1

1 Groupe d'étude des matériaux hétérogènes – axe génie civil et durabilité (GEMH-GCD), Université de Limoges, centre universitaire génie civil d'Egletons, 19300 Egletons, France
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Claude François Chazal; Rostand Moutou Pitti. An incremental constitutive law for ageing viscoelastic materials: a three-dimensional approach. Comptes Rendus. Mécanique, Volume 337 (2009) no. 1, pp. 30-33. doi : 10.1016/j.crme.2008.12.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.12.002/

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