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A boundary obstacle problem for the Mindlin–Timoshenko system
Author(s) -
Araruna F. D.,
Feitosa A. J. R.,
Oliveira M. L.
Publication year - 2009
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.1066
Subject(s) - mathematics , timoshenko beam theory , obstacle , infinity , mathematical analysis , obstacle problem , boundary value problem , boundary (topology) , zero (linguistics) , vibration , physics , law , linguistics , philosophy , quantum mechanics , political science
We consider the dynamical one‐dimensional Mindlin–Timoshenko model for beams. We study the existence of solutions for a contact problem associated with the Mindlin–Timoshenko system. We also analyze how its energy decays exponentially to zero as time goes to infinity. Copyright © 2008 John Wiley & Sons, Ltd.
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