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Strong Convergence Results for the Asymptotic Behavior of the 3D-Shell Model

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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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Authors and Affiliations

  1. Inria Saclay Ile-de-France, Palaiseau, France

    D. Chapelle & A. Collin

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  1. D. Chapelle
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  2. A. Collin
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Correspondence to D. Chapelle.

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Chapelle, D., Collin, A. Strong Convergence Results for the Asymptotic Behavior of the 3D-Shell Model. J Elast 115, 173–192 (2014). https://doi.org/10.1007/s10659-013-9452-3

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  • DOI: https://doi.org/10.1007/s10659-013-9452-3

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