Exponential stabilization of laminated beams with history memories

B. Feng, D. S. Almeida Júnior and A. J. A. Ramos

Mathematische Nachrichten, 2021, vol. 294, issue 3, 559-579

Abstract: 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.

Date: 2021
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https://doi.org/10.1002/mana.202000337

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