A model of elastic adhesive bonded joints through oscillation-concentration measures
type: Item
instance of: scholarly article
title: A model of elastic adhesive bonded joints through oscillation-concentration measures
zbMATH Open document ID: 1118.49009
author: Christian Licht
author: G. Michaille
author: Stéphane Pagano
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2007-05-03T00:00:00Z
review text: A new model of adhesive bonded joints is proposed including both gradient concentrations and gradient oscillations. Through a suitable scaling a narrower notation of Young measure-varifold pair well adopted to a \(\Gamma\)-convergence process is introduced. The mechanical system and its classical variational limit is formulated. The adhesives and the adherents are assumed to be perfectly stuck together and they are modeled as hyperelastici. A new pairs of measures (the oscillation-concentration measures) are considered and the functional of strain energy associated with the displacement field is written terms of pairs mentioned above. The main results are: the characterization of the oscillations-concentrations measures and the description of the limit energy together with two examples. Furthermore, it is shown that, how the oscillation-concentration measures solutions in the new formulation may be thought as a microscopic description of the classical limit formulation.
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 74N15
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 5148777
zbMATH Keywords: adhesive joint
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: elastic
zbMATH Keywords: concentrations
zbMATH Keywords: oscillations
zbMATH Keywords: Young measures
zbMATH Keywords: Gamma convergence
reviewed by: István Ecsedi
MaRDI profile type: Publication
full work available at URL: j.matpur.2007.01.008
OpenAlex ID: W2042764209
cites work: Homogenization of periodic nonconvex integral functionals in terms of Young measures
cites work: Q5186236
cites work: An introduction to \(\Gamma\)-convergence
cites work: Direct methods in the calculus of variations
cites work: Q5565773
cites work: Lower semicontinuity of surface energies
cites work: Analysis of Concentration and Oscillation Effects Generated by Gradients
cites work: Q3789177
cites work: Characterizations of Young measures generated by gradients
cites work: The nonlinear membrane model: a Young measure and varifold formulation
cites work: Q4364825
cites work: Parametrized measures and variational principles
cites work: H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
DOI: 10.1016/J.MATPUR.2007.01.008
description: scientific article; zbMATH DE number 5148777