C1-curved finite elements with numerical integration for thin plate and thin shell problems : part 2 : approximation of thin plate and thin shell problems

Projet MODULEFRésumé disponble dans les fichiers attaché

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

Projet MODULEFThe 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)

Basis functions for general Hsieh-Clough-Tocher triangles,complete or reduced

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An existence theorem for a class of nonlinear shallow shell problems

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Numerical Analysis of Junctions between Thin Shells, Part 1 : Continuous Problems

Projet MODULEFThe purpose of this work is to study the numerical analysis of junctions between thin shells. We describe the approximation by a «pseudo-conforming» finite element method associated with the Argyris triangle and taking into account the numerical integration. Under suitable hypothesis on the integration schemes and on the data, we prove the convergence of this method and we derive a priori error estimates