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An asymptotic model for a thin, soft and imperfectly bonded elastic joint
Author(s) -
Licht Christian,
Michaille Gérard,
Juntharee Pongpol
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3535
Subject(s) - joint (building) , constraint (computer aided design) , elastic energy , stiffness , convergence (economics) , limit (mathematics) , series (stratigraphy) , mathematical analysis , connection (principal bundle) , mathematics , classical mechanics , physics , mechanics , structural engineering , geometry , engineering , thermodynamics , geology , economics , paleontology , economic growth
An asymptotic model for a thin, soft, linearly elastic joint imperfectly bonded to two linearly elastic bodies is derived by studying the variational convergence of the total mechanical energy when the thickness and the stiffness of the joint go to zero. The joint is replaced by a mechanical constraint between the adherents which correspond to the connection in series of the classical limit constraint induced by the soft joint and constraints between the joint and the adherents.74K3074G65 Copyright © 2015 John Wiley & Sons, Ltd.