Equivalence Theory Applied to Anisotropic Thin Plates
Résumé
We extend the Equivalence Theory (ET) formulated by Absi [1] for the statics of isotropic materials to the
statics and dynamics of orthotropic materials. That theory relies on the assumption that any real body modeling
may be substituted by another one that, even though it may possibly have material constitutive laws
and geomet- ric properties with no physical sense (like negative cross sections or Young modulus), is intended
to be more advantageous for calculus. In our approach, the equivalence is expressed by equating both
the effective strain energies of the two models and the material structural weights in dynamics [2]. We provide
a numerical analysis of the convergence properties of ET approach while comparing its numerical results
with those predicted by the analytical theory and the Finite Elements Method for thin plates.
[1] E. ABSI, “La Theorie des Equivalences et Son Application
a l’Etude des Ouvrages d’Art,” Série: Théories et
Méthodes de Calcul, Annales de l’Institut Technique du
Bâtiment et des Travaux Publics, Supplément No. 298,
Octobre 1972.
[2] M. Haddad, “Application de la Methode des Equivalences
en Dynamique,” Rapport de Stage Master2 Recherche,
l’Institut Supérieur de l’Aéronautique et de
l’Espace (ISAE), Toulouse, 7 February 2010.
Origine : Fichiers produits par l'(les) auteur(s)
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