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Article Dans Une Revue Journal of Elasticity Année : 2014

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

Résumé

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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Dates et versions

hal-00843766 , version 1 (12-07-2013)

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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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