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Strong convergence results for the asymptotic behavior of the 3D-shell model

Dominique Chapelle 1 Annabelle Collin 1 
1 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
Abstract : We revisit the asymptotic convergence properties - with respect to the thickness parameter - of the earlier-proposed 3D-shell model. This shell model is very attractive for engineering applications, in particular due to the possibility of directly using a general 3D constitutive law in the corresponding finite element formulations. We establish strong convergence results for the 3D-shell model in the two main types of asymptotic regimes, namely, bending- and membrane-dominated behavior. This is an important achievement, as it completely substantiates the asymptotic consistency of the 3D-shell model with 3D linearized isotropic elasticity.
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Submitted on : Friday, July 12, 2013 - 10:07:08 AM
Last modification on : Tuesday, October 25, 2022 - 4:17:45 PM
Long-term archiving on: : Wednesday, April 5, 2017 - 10:24:39 AM


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Dominique Chapelle, Annabelle Collin. Strong convergence results for the asymptotic behavior of the 3D-shell model. Journal of Elasticity, 2014, 115 (2), pp.173-192. ⟨10.1007/s10659-013-9452-3⟩. ⟨hal-00843766⟩



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