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The mathematical shell model underlying general shell elements

✍ Scribed by Dominique Chapelle; Klaus-Jürgen Bathe

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
177 KB
Volume
48
Category
Article
ISSN
0029-5981

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✦ Synopsis

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 ÿnite 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 model. Moreover, we substantiate the connection between general shell element procedures and this underlying model by mathematically proving a convergence result from the ÿnite element solution to the solution of the model.

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