The mathematical shell model underlying general shell elements

Abstract : We show that although no actual mathematical shell model is explicitly used in "general shell element" formulations, we can identify an implicit shell model underlying these finite element procedures. This "underlying model" compares well with classical shell models since it displays the same asymptotic behaviours--when the thickness of the shell becomes very small--as, for example, the Naghdi shell model. Moreover, we substantiate the connection between general shell element procedures and this underlying model by mathematically proving a convergence result from the finite element solution to the solution of the model.
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https://hal.inria.fr/hal-00839729
Contributor : Dominique Chapelle <>
Submitted on : Saturday, June 29, 2013 - 5:05:29 PM
Last modification on : Friday, May 25, 2018 - 12:02:03 PM

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Dominique Chapelle, Klaus-Jürgen Bathe. The mathematical shell model underlying general shell elements. International Journal for Numerical Methods in Engineering, Wiley, 2000, 48 (2), pp.289-313. ⟨10.1002/(SICI)1097-0207(20000520)48:2<289::AID-NME897>3.0.CO;2-8⟩. ⟨hal-00839729⟩

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