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Proceedings Paper

Numerical analysis of curved C1-finite element methods: applications to thin-plate and thin-shell problems
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Paper Abstract

Thin plate and thin shell problems are generally set on plane reference domains with a curved boundary. Their approximation by conforming finite element methods requires C1- curved finite elements entirely compatible with the associated C1-rectilinear finite elements. In this contribution, we introduce a C1-curved finite element compatible with the P5-Argyris element, we study its approximation properties, and then, we use such an element to approximate the solution of thin plate or thin shell problems set on a plane curved boundary domain. Finally, we discuss the use of such C1-curved elements to approximate junctions between thin shells.

Paper Details

Date Published: 22 July 1993
PDF: 12 pages
Proc. SPIE 1919, Smart Structures and Materials 1993: Mathematics in Smart Structures, (22 July 1993); doi: 10.1117/12.148430
Show Author Affiliations
Michel J. M. Bernadou, INRIA (France)

Published in SPIE Proceedings Vol. 1919:
Smart Structures and Materials 1993: Mathematics in Smart Structures
H. Thomas Banks, Editor(s)

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