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Exponential stabilization of laminated beams with history memories
Author(s) -
Feng B.,
Almeida Júnior D. S.,
Ramos A. J. A.
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.202000337
Subject(s) - dissipation , exponential function , viscoelasticity , mathematics , exponential decay , slip (aerodynamics) , adhesive , mathematical analysis , materials science , physics , composite material , thermodynamics , layer (electronics) , nuclear physics
In this paper we consider laminated beams modelled from the well established Timoshenko system, which is a structure given by two identical layers uniform on top of each other, taking into account that an adhesive of small thickness is bonding the two surfaces and produces an interfacial slip. By using semi‐group approach, we prove the global well‐posedness of the system when a viscoelastic dissipation acts on the three equations. In addition, we prove that the dissipation through memory terms is strong enough to get exponential decay of the system without the condition of equal wave speeds.