A model of elastic adhesive bonded joints through oscillation-concentration measures

Christian Licht (1) , Gerard Michaille , Stéphane Pagano (1)

1 LMGC - Laboratoire de Mécanique et Génie Civil

We present a new model of adhesive bonded joints, encoding both gradient oscillations and gradient concentrations. By introducing a narrower notion of Young measure-varifold pair and a variational convergence of the energy functionals, we characterize the measure solutions of the model and give a microscopic description of the densities related to the classical formulation. (c) 2007 Elsevier Masson SAS. All rights reserved.

Mots clés: oscillations; concentrations; Young measures; asymptotic analysis; gamma convergence; GRADIENTS

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Equations aux dérivées partielles [math.AP]

Christian Licht, Gerard Michaille, Stéphane Pagano. A model of elastic adhesive bonded joints through oscillation-concentration measures. Journal de Mathématiques Pures et Appliquées, 2007, 87, pp.343-365. ⟨10.1016/j.matpur.2007.01.008⟩. ⟨hal-00514563⟩