Identification des paramètres matériaux

HAL Id: hal-01509001

https://hal.archives-ouvertes.fr/hal-01509001 Submitted on 15 Apr 2017

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Identification des paramètres matériaux

Khaled Hadj-Sassi, Stéphane Andrieux

To cite this version:

Khaled Hadj-Sassi, Stéphane Andrieux. Identification des paramètres matériaux : Une nouvelle fonc-tionnelle d’énergie incrémentale totale pour le contrôle des parties réversibles et dissipatives les matéri-aux standards. 8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France. �hal-01509001�

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1, avenue du Général de Gaulle, 92141 Clamart, France

{khaled.hadj-sassi,stephane.andrieux}@edf.fr



RÉSUMÉ. Différentes approches d’identification de paramètres matériaux ont été présentées et

étudiées précédemment. Dans cet article, on s’est intéressé plutôt à des approches basées sur des écarts énergétiques où une nouvelle formulation a été proposée pour contrôler simultanément les deux parties réversibles et dissipatives des matériaux standards. Cette formulation porte sur les potentiels énergétiques convexes par rapport aux incréments de ses variables d’état et obéit aux propriétés de l’inégalité de Fenchel en analyse convexe.

ABSTRACT. Various approaches of materials parameters identifications were presented and

studied previously. In this paper, one was interested in approach based on energy gaps where a new formulation was proposed to control simultaneously the two reversible and dissipative parts of standard materials. This formulation built by the convex energy potentials around of its state variables increments and obeys of the properties of the Fenchel inequality in convex analysis.

MOTS-CLÉS : Analyse convexe, identification des paramètres, méthode d’état adjoint, matériaux standards.

KEYWORDS: convex analyze, parameters identification, adjoint state method, standard

materials.

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