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Meccanica

Erschienen in:

26.07.2017

On the asymptotic stability for Kirchhoff plates with viscoelastic dissipation

verfasst von: Franca Franchi, Barbara Lazzari, Roberta Nibbi

Erschienen in: Meccanica | Ausgabe 1-2/2018

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Abstract

We present some results about the asymptotic behavior of a Kirchhoff plate with viscoelastic dissipative effects, making use of the concept of minimal state. This approach allows to obtain results in a larger class of solutions and data with respect to the classical one, based on the histories of the deformation gradient. Recently, a lot of attention has been paid to find unified approaches to study the asymptotic behavior with memory kernels exhibiting a temporal decay containing the exponential and polynomial decay as special cases. Here we extend this unified approach to the Kirchhoff plate model in presence of supplies within the minimal state formalism.

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Titel: On the asymptotic stability for Kirchhoff plates with viscoelastic dissipation
verfasst von: Franca Franchi
Barbara Lazzari
Roberta Nibbi
Publikationsdatum: 26.07.2017
Verlag: Springer Netherlands
Erschienen in: Meccanica / Ausgabe 1-2/2018
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-017-0724-z

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