C1-curved finite elements with numerical integration for thin plate and thin shell problems : part 1 : construction and interpolation properties of curved C1 finite elements

Abstract : The purpose of this paper is to construct curved finite elements of class C1 compatible with the elements of Argyris-Fried-Scharpf and Bell. We start by the approximation of the curved boundary and next, we construct curved finite elements of class C1. We conclude by proving that the correspond- ing asymptotic interpolation error has the same order than for the associate straight elements. In the second part of this work, we will study the approximation of thin plate and thin shell problems by such curved C1 finite elements. The effectiveness of these methods will be illustrated in a subsequent work (en collaboration avec J.M. Boisserie).
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Rapport
[Research Report] RR-1626, INRIA. 1992
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Michel Bernadou. C1-curved finite elements with numerical integration for thin plate and thin shell problems : part 1 : construction and interpolation properties of curved C1 finite elements. [Research Report] RR-1626, INRIA. 1992. 〈inria-00074935〉

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