A relaxation process for bifunctionals of displacement-Young measure state variables: A model of multi-material with micro-structured strong interface - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2010

A relaxation process for bifunctionals of displacement-Young measure state variables: A model of multi-material with micro-structured strong interface

Résumé

The gradient displacement field of a micro-structured strong inter-face of a three-dimensional multi-material is regarded as a gradient-Young measure so that the stored strain energy of the material is defined as a bifunctional of displacement/Young measure state variables. We propose a new model by computing a suitable variational limit of this bifunctional when the thickness and the stiffness of the strong material are of order ε and 1/ε respectively. The stored strain energy functional associated with the model in pure displacements living in a Sobolev space is obtained as the marginal map of the limit bifunctional. We also obtain a new asymptotic formulation in terms of Young measure state variable when considering the other marginal map.
Fichier principal
Vignette du fichier
multimatyoung3.pdf (263.44 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00790256 , version 1 (02-03-2015)

Identifiants

Citer

Anne-Laure Bessoud, Françoise Krasucki, Gérard Michaille. A relaxation process for bifunctionals of displacement-Young measure state variables: A model of multi-material with micro-structured strong interface. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2010, 27 (2), pp.447-469. ⟨10.1016/j.anihpc.2010.01.007⟩. ⟨hal-00790256⟩
316 Consultations
124 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More