Réduction 3D–1D d'un modèle viscoélastique en grandes déformations
Comptes Rendus Mathematique, ISSN: 1631-073X, Vol: 345, Issue: 4, Page: 239-243
2007
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Article Description
Nous présentons une réduction 3D–1D pour le modèle viscoélastique en grandes déformations introduit par P. Neff. Cette réduction est effectuée à l'aide d'un Ansatz de Cosserat. Le problème unidimensionnel couplé minimisation/évolution satisfait le principe d'indifférence matérielle et admet une unique solution. Pour citer cet article : J. Beyrouthy, C. R. Acad. Sci. Paris, Ser. I 345 (2007). We present a Cosserat-based 3D–1D dimensional reduction for the viscoelastic finite strain model introduced by P. Neff. The reduced 1D model preserves observer invariance. We prove the existence and uniqueness of the solution of the reduced coupled minimization/evolution problem. To cite this article: J. Beyrouthy, C. R. Acad. Sci. Paris, Ser. I 345 (2007).
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S1631073X07002762; http://dx.doi.org/10.1016/j.crma.2007.06.027; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=34547941824&origin=inward; https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.06.027/; https://dx.doi.org/10.1016/j.crma.2007.06.027
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